The voltage, charge, and surface area of parallel-connected capacitors are identical.
Two plates make up a parallel plate capacitor, which is divided by a thin layer of insulating material called a dielectric. Charge is always conserved in a capacitor, and it will flow to keep the potential constant. Each capacitor has the same voltage V across its plates because they are all linked in parallel. However, the amount of charge that each capacitor in the parallel network can hold may vary. Equivalent coulomb charges will always be present across the plates of two or more capacitors connected in series. Greater capacity to hold electric charge is offered by larger plates. Consequently, capacitance rises as plate area increases.
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merits and demerits of dimensional equations
Answer:
Explanation:
Merits of Dimensional Equations:
Simplification of physical laws: Dimensional analysis allows us to simplify complex physical laws into simpler, dimensionally homogeneous equations.
Prediction of unknown quantities: Dimensional analysis can be used to predict unknown physical quantities by using only the dimensional information of known quantities.
Unit conversion: Dimensional analysis can be used to convert units of physical quantities from one system to another.
Detection of errors: Dimensional analysis helps in detecting errors in mathematical expressions, as the dimensions of the different terms in an equation must match for the equation to be physically meaningful.
Demerits of Dimensional Equations:
Limited applicability: Dimensional analysis is only applicable to problems where the dimensions of the physical quantities involved are well-defined.
Assumptions required: Dimensional analysis requires certain assumptions to be made about the physical system being studied, and these assumptions may not always be valid.
Approximations involved: Dimensional analysis often involves approximations and simplifications, which can lead to errors in the final results.
Limitations in complex systems: Dimensional analysis can be difficult to apply in complex systems, where multiple physical phenomena are interacting and where the dimensions of the physical quantities involved are not well-defined.
Neglecting air resistance, if a brick is dropped, a
baseball is hurled horizontally, and a bullet is fired
horizontally all at the same height, which object
hits ground first? Explain.
If you were to complete a mass balance on a coffee roaster, which of these would NOT be a material stream exiting out of the roaster?
Group of answer choices
Water vapor, carbon dioxide, and other VOCs
Chaff
Spent coffee grounds
Roasted coffee beans
Spent coffee particles would not form a material stream leaving the roaster if a parameter on a cup roaster were to be done.
What does mass vs. weight mean?How much substance an item contains may be determined fundamentally by its mass. The gravitational pull on an item may be measured by its weight. The position of the item as well as its mass are important factors. Because of this, weight may be used to quantify force.
equals the amount of coffee beans that are put in.
Green bean mass is the sum of its roasted bean, chaff, and gas masses.
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how far must you walk toward speaker b to move to reach the first point of destructive interference? take the speed of sound to be 344 m/s . express your answer in meters.
0.2425 m you walk toward speaker b to move to reach the first point of destructive interference.
Calculating the problem:The following formula can be used to determine the wavelength:
λ = v/f, where f is the frequency of the sound wave and v is the speed of sound.
When we change the values, we get: λ = 344 m/s / 708 Hz = 0.485 m
The distance between the two points of constructive and destructive interference is equal to half the wavelength, or λ/2,
d = λ/2 = 0.485 m / 2 = 0.2425 m = 243.5 cm
We need to walk 243.5 cm in the direction of speaker B in order to reach the first point of destructive interference, as d = λ/2 = 0.485 m / 2 = 0.2425 m.
How does wavelength work?A wavelength is the distance between two identical points (adjacent crests) in consecutive cycles of a waveform signal that travels through space or down a wire. In wireless systems, this length is typically measured in meters (m), centimeters (cm), or millimeters (mm). The relationship between frequency and wavelength .
The wavelength of a signal decreases with increasing frequency. For gamma radiation (), visible light (UV), infrared (IR), and ultraviolet (UV) (nm), the wavelength is more frequently mentioned in nanometers.
For instance, a water wave is one that combines transverse and longitudinal motions. An electromagnetic wave is produced when an electric field and a magnetic field vibrate together.
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How are physical quantities classified as scalars and vectors?
Physical quantities can be classified as scalars or vectors based on their ability to describe magnitude and direction. Scalar quantities solely have magnitude and do not have direction. Vector quantities are the quantities that have both magnitude and direction.
What are some examples of vectoir quantities?Vector quantities are physical quantities that include both magnitude and direction. Some common examples of vector quantities include: Velocity, Displacement, acceleration, Electric field, etc.
Is force a vector quantity?Yes, force is a vector quantity. Force is a quantity that describes the interaction between two bodies, with a direction that indicates the direction of the interaction.
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choose the correct definition of precession, and the correct explanation how does it affect what we see in our sky?
Precession is the slow and continuous change in the orientation of the rotational axis of a spinning body, such as a spinning top or the Earth.
When compared to its orbital plane around the sun, the Earth's rotational axis tilts at an inclination of about 23.5 degrees.
The Earth's rotational axis travels in a round pattern in space as a result of precession; one full cycle takes about 26,000 years to complete. The celestial poles, which are the spots in the sky where the Earth's rotational axis crosses the celestial sphere, are impacted by this movement of the rotational axis.
The Earth's spinning axis points in a different direction over time as a result of precession, which affects the position of the celestial poles. The position of the stars as seen from Earth is then impacted by this.
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approximately where is it currently high tide on earth?
Both on the part of the Earth that faces the Moon in a direct line and on the part of the Earth that faces the Moon in a straight line.
Where are the high tides?Because the moon's gravitational attraction is greatest on the side of Earth that confronts it, the point confronting the moon is created. High tide happens as gravity draws the water toward the moon.
At the equator, are tides higher?It seems sense to conclude that the range of the semi - diurnal tides is greatest near the equator and diminishes toward the poles since, on average, the moon is directly above the equator.
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if the efficiency of the fan is 75%. determine the maximum air mass flow rate that can be transported by the fan, in kg/min
To determine a fan's cubic feet per second (cfm) air flow capacity: Add the square footage of the fan face to the average air velocity you recorded in feet per minute (fpm).
What is the fan's flow equation?Average national velocities generally proportional to volumetric flow rate across a system as long as air flow is incompressible, and pressure loss as a function of volume flow rate, V, often follows the equation P = C*Vn, where C is a perpetual and n is an exponent between 1 and 2.
How would one define flow rate?How much liquid moves through a space in a specific amount of time is known as a liquid's flow rate. The terms velocity and pass area or time and capacity can be used to describe flow rate. Since liquids cannot be compressed, the flow rate into a space must match the flow rate out.
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a nuclear of 208pb has 82 protons with a sphere of radius 6.34 * 10^-15m. calculate the electric field at the surface of the nucleus
A nuclear of 208pb has 82 protons with a sphere of radius 6.34 * [tex]10^{-15}[/tex]m. The electric field at the surface of the nucleus is 2.24 x [tex]10^{11}[/tex] N/C.
The electric field at the surface of a nucleus can be calculated using Coulomb's law, which states that the electric field produced by a point charge is proportional to the charge and inversely proportional to the square of the distance from the point charge.
E = k * q / [tex]r^{2}[/tex]
where,
E = the electric field in N/C
k = the Coulomb constant, equal to 8.99 x [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex]
q = the charge on the nucleus, equal to 82 times the charge on a proton, or 82 * 1.60 x [tex]10^{-19}[/tex] C
r is the radius of the nucleus, equal to 6.34 x [tex]10^{-15}[/tex]m
Plugging in these values, we get:
E = 8.99 x [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex] * 82 * 1.60 x [tex]10^{-19}[/tex] C / 6.34 x [tex]10^{-15}[/tex]m ^2
E = 2.24 x [tex]10^{11}[/tex] N/C.
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if the airspeed of the plane (its speed in still air) is 450.0 km/h , in which direction should the pilot head?
The plane's speed relative to the ground when airspeed of the plane is given is calculated to be 329.64 km/h and the direction is 79.74° West or North.
Airspeed of the plane = 450 km/h
Wind speed is 80 km/h in a south direction.
The pilot should head in the direction,
OA = AB × cos θ
cos θ = OA/AB = 80/450 = 0.178
θ = 79.74°
When the airspeed is 450 km/h the pilot must head 79.74° West or North.
The speed of the plane in relation to the ground is,
OB = AB × sin θ
OB = 335 × sin (79.74°)
OB = 329.64
Therefore, the plane's speed relative to the ground is 329.64 km/h.
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1. A Ferrari starts from rest and attains a speed of 40 m/s in 8 seconds.
a. What will be its acceleration?
b. Determine the distance travelled by the car during that time.
The acceleration of the object is 5 m/s^2 while the speed is 160 m
What is the speed of the car?
Let us note that we have to know that the acceleration of the car is the rate of the change of the velocity of the car with timer and so we can then be able to write for this problem that;
a = v - u/t
a = acceleration
v = final velocity
u = initial velocity
t = time taken
a = 40 - 0/8
= 5 m/s^2
Then we have that;
v^2 = u^2 + 2as
s = v^2- u^2/2a
s = (40^2 - (0)^2/2 * 5
s = 160 m
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which combination represents the si base units of force? which combination represents the si base units of force? kg m m/s2 kg m/s kg m/s2 kg
The metre, a measure of length denoted by the sign m, is the fundamental unit of force. The symbol for the kilogramme is a unit of mass The newton (sign N) is the SI unit of force.
The metre, a measure of length denoted by the sign m, is the fundamental unit of force. The symbol for the kilogramme is a unit of mass.
In mechanics, force is any action that tends to maintain or alter a body's motion or distort it. The concept of force is frequently explained in terms of Isaac Newton's three laws of motion, as stated in his Principia Mathematica (1687). A body that is at rest or moving at a uniform rate in a straight line will remain in that state until some force is applied to it, according to Newton's first principle. According to the second law, when an external force acts on a body, it causes the body to accelerate (change in velocity) in the direction of the force.
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water travels down a pipe with a circular cross-section at a velocity v1. this pipe is connected to another pipe with a square cross-section by a small fitting. if the square pipe has side length 2a, and the circular pipe has a radius of a, what is the velocity of the water in the circular pipe?
The hydraulic radius is the same for both pipes, the velocity of the water in the circular pipe must be the same as the velocity of the water in the square pipe, i.e., v1.
What is the water's speed?The cross-sectional area of a pipe and its hydraulic radius, which is the ratio of the cross-sectional area to the wetted perimeter, determine the velocity of water flowing through it.
The equation v = s/t denotes the vector quantity velocity (v), which quantifies displacement (or change in location, s), over change in time (t).
Given that the cross-sectional area of the circular pipe is[tex]a^2[/tex] and the wetted perimeter is 2a the hydraulic radius is a.
The hydraulic radius is a for the square pipe because its cross-sectional area is[tex]2 a^ 2[/tex] and wetted perimeter is 4 a.
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if you wanted to determine the scaled size (radius or diameters) of the planets in your scaled model, what would you need to do?
If you wanted to determine the scaled size of the planets in your scaled model, you would need to know the actual size of the planets and the scale factor you are using for your model.
What is needed to determine the scaled size (radius or diameters) of the planets in your scaled model?To determine the scaled size (radius or diameter) of the planets in your scaled model, you need to know the actual size of the planets and the scale factor you are using for your model. Then, you can calculate the scaled size by multiplying the actual size by the scale factor.
For example, if the actual diameter of a planet is 10,000 kilometers and your scale factor is 1:10,000,000, the scaled diameter of the planet in your model would be 0.1 millimeters.
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which of the following quantities is a displacement? question 7 options: a) 32 ft, vertically downward b) 120 in c) 9.8 m/s2, downward d) -120 m/s e) 9.8 m/s2, upward f) 40 km
From the given options, (f) 40km is representing displacement as it is a vector quantity but has a scalar value that represents the change in position of an object over a given distance, and is expressed in kilometers.
Displacement is a vector quantity that represents the change in position of an object with respect to its initial position. It is defined as the shortest distance between the initial and final points, and is denoted by a straight line connecting the two points. Displacement is always a scalar value and is measured in units of distance, such as meters or kilometers.
In the given options, the only quantity that represents a displacement is "40 km". It is a scalar value that represents the change in position of an object over a given distance, and is expressed in kilometers. The other options are not displacements, but represent other physical quantities such as distance (32 ft), length (120 in), acceleration (9.8 m/s2), or velocity (-120 m/s).
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most modern windows use double pane glass to reduce the amount of heat transferred into or out of buildings. consider a double pane window with 1 m^2 area and a 1 mm air gap between 2 window panes when the inner pane is held at 20 c, and the outer pane is held at 0 c. please list your assumptions and ignore the effects of sunlight. estimate how much heat is transferred from one pane to the other via conduction. estimate how much heat is transferred from one pane to the other via convection. estimate how much heat is transferred from one pane to the other via radiation. *
The house stays warmer in the winter since the glass inside isn't immediately open to the outside air. Insulating gases are frequently used to fill the area between the glass panes.0.5W
Are single-pane windows heat-losers?The old-world charm and character of single-pane windows attracts many homeowners who opt to maintain them. Windows with a single pane of glass, however, perform very poorly as insulators. Frequently, these windows are too hot during the summer and too cold in the winter.
Which kind of window loses the most heat?Due to their ability to insulate against the full impacts of temperature fluctuations and contribute to the stabilization of your home's temperature, double-glazed windows are more efficient insulators than single-glazed windows. Your home will remain warmer in the winter and cooler in the summer by reducing heat gain and loss.
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charge is at charge is at charge is at at what point in the (x, y) plane is the electric field zero?
The electric field is defined as the force experienced by a unit positive test charge placed at a particular point in space.The electric field is zero at a point in the (x, y) plane if there is no net force experienced by the test charge at that point.
This can occur if the test charge is placed at a point of symmetry in the charge distribution, such as the center of a spherical distribution of charges or the midpoint between two equal and opposite charges.
Additionally, the electric field can also be zero at a point if the charges are arranged in such a way that the electric field vectors at that point cancel each other out. To determine the exact location of the point(s) where the electric field is zero, one must perform a vector analysis of the electric field due to the individual charges in the distribution.
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two stars are giving off electromagnetic radiation. the hotter star will: a. give off more radiation at all wavelengths b. all of the above c. will give off a continuous spectrum of waves d. will have a higher average frequency of radiation e. will radiate energy at more than one wavelength
they all of the above are true about electromagnetic radiation.
What kind of EM radiation do stars emit?clear light Of course, stars produce visible light, however they also do so in the ultraviolet, X-ray, or even gamma ray ranges.Both their average temperature and their activity affect how much stellar radiation is emitted.
What causes brighter stars to be hotter?Compared to yellow stars, that are hotter to red stars, blue stars are hotter.It appears brighter via a color filter than with a red filter because a hot star as Sirius, whose surface temperature is roughly 9,400 K, releases more light than red light.
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If the radius of the circular path is doubled, keeping the radial velocity of the object constant then, the centripetal acceleration of the object will be reduced to half. True Or False
Centripetal acceleration and velocity have a quadratic relationship, therefore when the velocity doubles, the centripetal acceleration quadruples.
When the centripetal acceleration is increased, what happens to the centripetal force?Yes, the acceleration of the object toward the center of the circular motion would grow as the centripetal force increased. For instance, if the mass of the Earth doubled, the satellites orbiting the planet would accelerate twice as fast.
What is the connection between centripetal acceleration and radius?Centripetal acceleration is the term for the change in velocity caused by circular motion. The linear velocity squared divided by the radius of the circle the object is traveling along can be used to compute centripetal acceleration.
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if the wire has a diameter of 0.7 in. , determine how much it stretches when a horizontal force of 2.5 kip acts on the pole.
A horizontal force is one that moves in a direction perpendicular to the horizon.
If we exert a horizontal force, when?Apply the equilibrium equation at C.ΣΜ =025x4-7, sin 30°x7=010-3.57=0 TR₁ = 2.857 kipCalculate the length of the steel wire (1)7cos 30° = 8.083 ftCalculate the stretch/elongation in the wire, using the following for AE2.857x(8.083×12 (022 * 29000-0.3042 inusing this and it is constantly perpendicular to the contact area.
What kind of thing is horizontal?A line going form left to right is referred to as a horizontal line. The sunrise is seen across a horizontal line when it appears over the horizon. A perfect example of the a horizontal line is the x-axis.
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(i) describe one advantage of using hydroelectric power plants over using coal-fired power plants. (ii) describe one potential disadvantage of hydroelectric power plants.
As they can immediately supply power to the system, hydropower facilities provide essential backup power during large electrical outages or disturbances.
What advantages do hydroelectric power facilities offer over those that burn coal?Hydropower is more environmentally benign when compared to other large fossil fuel-based sources of energy. Hydroelectric generators don't emit the extra energy and gases that fossil fuel-powered facilities do, which are major causes of acid rain, global warming, and air pollution.
What are the disadvantages of using hydroelectric power plants rather than coal-fired ones?Hydropower can generate electricity without emitting any greenhouse gases into the atmosphere. However, it can also result in risks to society and the environment, such as deteriorated water quality, hampered fish migration, and harmed habitat for wildlife.
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a force of resistance from surfaces or objects rubbing or moving against one another. it can cause a moving object to slow or stop. it is called___
The resistance to motion created when two objects rub against one another is called friction.Every time two objects come into touch with one another, friction is created.
What type of force is used when surfaces bump into one another or move past one another?The small bumps press against one other as two surfaces move over one another. A surface is subject to a force from friction that opposes the direction of the surface's motion. Application of lubricants can minimize friction.
What generates friction in a system?The imperfections on the surfaces that are in contact are what produce friction. Even the finest surfaces include tiny abnormalities, and when two surfaces interact with one another, these irregularities cause friction. The friction increases as the imperfections get bigger.
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a business jet of mass 36000 kg takes off when the thrust for each of two engines is 22000 n . part a find its acceleration.
A business jet of mass 36000 kg takes off when the thrust for each of two engines is 22000 N .its acceleration is 1.22 m/s^2.
The acceleration (a) can be calculated as follows:
a = (F_net) / m
Where F_net is the net force acting on the jet and m is its mass.
The net force can be calculated as the sum of the thrusts produced by each engine:
F_net = 2 * 22000 N = 44000 N
Finally, substituting the values of F_net and m into the equation above:
a = 44000 N / 36000 kg = 1.22 m/s^2
Thrust is a type of force that propels an object in a specific direction. It is the push or pull that moves an aircraft, a rocket, or any other type of vehicle through the air or through space. Thrust is created by the action of a engine or motor, which generates energy that is then transformed into movement. This movement can take various forms, such as the spinning of a fan, the burning of fuel in a combustion engine, or the explosion of a rocket.
Thrust is an essential component of flight, as it provides the energy needed to overcome the forces of gravity, air resistance, and friction. The amount of thrust generated by an engine is measured in units of force, such as pounds or newtons, and is dependent on factors such as the engine design, the fuel being used, and the speed of the vehicle.
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Why are electromagnets the strongest of all magnets?
what tracking system did the u.s. department of defense create that uses satellites to support navigation?
The U.S. Department of Defense created a satellite-based navigation system called the Global Positioning System (GPS). The GPS system provides positioning accuracy to within a few meters, making it a crucial tool for navigation and positioning in many different applications.
What is a GPS system?GPS is a worldwide navigation system that uses a network of satellites to provide precise positioning, velocity, and time information to users on the ground, in the air, or at sea. The system was originally developed for military use, but today it is widely used.
How does a GPS work?GPS uses a constellation of satellites orbiting the Earth that transmit signals to GPS receivers on the ground. The receiver calculates its position by determining the time delay between the signals from different satellites .
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the capacitor has a plate area of 10.0cm2 and a plate spacing of 2.00mm . the dielectric constant for the inserted material is 3.00 . if the potential between the plates exceeds 150.0v , the capacitor discharges and fails. what is the maximum charge that the capacitor can have after the dielectric is inserted?
The required maximum charge that the capacitor can have after the dielectric is inserted Q ≈ 1.98 x 10^-8 C
How to use formula of capacitance to find charge?The capacitance of a parallel-plate capacitor is given by:
C = ε * ε0 * A / d
where
C is the capacitance (in Farads)
ε is the dielectric constant of the material between the plates
ε0 is the vacuum permittivity (8.854 x 10^-12 C^2/Nm^2)
A is the plate area (in m^2)
d is the plate spacing (in meters)
The maximum charge that can be stored in a capacitor without exceeding a given voltage V is given by:
Q = C * V
where Q is the charge (in Coulombs).
According to data:So, first we need to convert the plate area and plate spacing to SI units:
A = 10.0 cm^2 = 10.0 x 10^-4 m^2
d = 2.00 mm = 2.00 x 10^-3 m
Next, we can find the capacitance:
C = ε * ε0 * A / d
C = 3.00 * 8.854 x 10^-12 * 10.0 x 10^-4 / 2.00 x 10^-3
C ≈ 1.32 x 10^-10 F
Finally, we can find the maximum charge:
Q = C * V
Q = 1.32 x 10^-10 * 150.0
Q ≈ 1.98 x 10^-8 C
So, the maximum charge that the capacitor can have after the dielectric is inserted is approximately 1.98 x 10^-8 Coulombs.]
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if a bird flies 30 degrees north of east at 20 m/s relative to the air, and if there is a wind towards the south at 10 m/s relative to the ground, what is the bird's speed relative to the ground in m/s?
The required speed of the bird relative to the ground is calculated to be 11.18 m/s.
The speed of the bird relative to air is given as 20 m/s.
The speed of air with respect to the ground is given as 10 m/s.
The speed of the bird relative to the ground in m/s is to be calculated.
The angle at which the bird flies is 30° north of east.
The equation of velocity of the bird relative to the ground can be written as,
V bg = V ba + V ag
where,
V bg is the velocity of bird with respect to ground
V ba is the velocity of the bird with respect to air
V ag is the velocity of air with respect to ground
Putting the values into the above equation, we have,
V bg = V ba + V ag = 20 sin30° i + 10 sin30° j = 20 × 1/2 i + 10 × 1/2 j = 10 i + 5 j
The magnitude of the velocity of bird with respect to ground is,
V bg = √(10² + 5²) = √(100 + 25) = √125 = 11.18 m/s
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for the bulbs connected in parallel: how does the current through each bulb compare to the total current leaving/entering the battery? what do you think is the underlying reason for this?
The current through each bulb in a parallel circuit is equal to the total current leaving/entering the battery, and this is because in a parallel circuit, the voltage across each component is the same, and the total current is equal to the sum of the currents through each component.
When bulbs are connected in parallel circuit, each bulb has the same voltage across it, which is equal to the voltage of the battery. This means that the current through each bulb depends only on the resistance of that bulb and is independent of the other bulbs in the circuit. Therefore, the total current flowing into the parallel circuit is equal to the sum of the currents flowing through each bulb.
This is in contrast to a series circuit, where the total current is shared by all the components and is the same at any point in the circuit. The reason for this difference is the different ways in which current and voltage are distributed in parallel and series circuits.
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Why more physicists are starting to think space and time are ‘illusions’ ?
Some physicists are starting to question the traditional view of space and time as fundamental and unchanging entities because of the strange and counterintuitive behaviour of the universe at very small scales, as described by quantum mechanics.
What does quantum physics suggest?It suggests that the concepts of definite position and definite momentum cannot both be precisely known at the same time and that the position and velocity of particles are inherently uncertain.
What does general relativity theory predict?General relativity predicts that spacetime itself can be affected by matter and energy and that it can bend, stretch, and curve.
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a merry-go-round rotates at the rate of 0.1 rev/s with an 97 kg man standing at a point 1.6 m from the axis of rotation. what is the new angular speed when the man walks to a point 0 m from the center? consider the merry-go-round is a solid 72 kg cylinder of radius of 1.6 m. answer in units of rad/s.
The new angular speed when the man walks to a point 0m from the center is ω = 0.369 rev/s.
What Is Angular Speed?The definition of angular speed is the rate at which angular displacement changes, and it is expressed as,
ω=θ/t
where t is the period of time, is the angular speed, and ω is the angular displacement.
Angular Speed UnitRadian per second is used to measure angular speed. Both angular velocity and angular speed are represented using the same formula.
Now for the given question,
Since there is no external torque, angular momentum of the system is conserved. Then, the angular momentum when the man is at x = 1.6 m, it is equal to that of x = 0 m.
[tex]L_1=L_2\\I_1ω_1=I_1ω_2[/tex]
where I is the moment of inertia of the system. Here we consider the merry-go-round which is a solid cylinder and the man which can be regarded as a point object.
Total moment of inertia in first case is
[tex]I_1=I_{cylinder}+ I_{man}= 1/2 m_{cylinder}R^2_{cylinder}+m_{man}d^2\\ = 1/2 (72)(1.6)^2+(97)(1.6)^2=340.48[/tex]
moment of inertia in second case is
[tex]I_2=1/2 m_{cylinder}R^2_{cylinder}+ m_{man}(0)\\=1/2(72)(1.6)^2=92.16[/tex]
In the second case, the man shows no contribution to the moment of inertia of the system, since he stands on the center.
Finally,
[tex]I_1ω_1=I_2ω_2\\(340.48)(0.1)=(92.16)ω_2\\ω_2=0.369 rev/sec.[/tex]
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