A. The value of x in the given circular geometry is determined as 9.75.
Value of x in the geometry
The value of x can be calculated by applying the following rules of geometry as shown below.
angle AC = angle at the center
angle at center = twice angle at circumference
147 = 2(6x + 15)
147 = 12x + 30
147 - 30 = 12x
117 = 12x
x = 117/12
x = 9.75
Thus, the value of x in the given circular geometry is determined as 9.75.
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Why does a mirror or glass polished by dry cloth on a dry day soon gets dirty
As per the given question;
On a dry day, a mirror or window polished with a dry cloth quickly develops dust. Dry cloth friction on glass produces charged static electricity, which attracts microscopic non-charged dust particles.
What is static electricity?Static electricity can cause problems or even pose a risk. Your hair standing on end energy can also destroy electronics and cause explosions. However, it can also be a huge asset to modern life when properly managed and manipulated.
When the positive and negative charges are out of balance, static electricity is produced. While electrons like to jump all over the place, protons and neutrons don't move around that much. A negative charge is present when an object (or person) has extra electrons.
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The temperature of a 2.0kg block increases by 5C when 2000 J of thermal energy are added to the block. What is the specific heat of the block
Explanation:
Q=mc(T2-T1)
or
q = mcΔT ,
where m is the mass of the sample,
c is the specific heat,
and ΔT is the temperature change.
Q=2.0 × 2000 × 5
Q=20000J⋅kg −1 ⋅K −1
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We have 3 gears meshed with the following teeth. A – 20; B – 50; C – 30. Another set of gears have the following teeth. X – 20; Y – 25; Z – 30. Assuming gears A and X are running at the same rpm. Which statement is correct?
gear C and Z will run at the same RPM
RPM is not a unit, according to the International System of Units (SI). The word "revolution" is a semantic annotation rather than a unit, which explains this. RPM formula sign must be f for (rotational) frequency and or for angular velocity due to the measured physical quantity. s−1 or Hz is the basic SI-derived unit that corresponds. The radians per the second unit are used to express angular speed.
As a result, a disc rotating at 60 RPM is considered to be rotating at either 2 rad/s or 1 Hz, where the former refers to angular velocity and the latter to the rate of revolutions per second.
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Question 11 (2 points)
Observe the diagram below. A person starts at A, walks along the bold path and finishes at B. Each square
is 1 km along its edge. Use the diagram in answering the next two questions.
This person walks a distance of ____31____ km.
This person has a displacement of ____3____km.
Since we can see in the figure, it is also stated in the question that each square has a 1km boundary. A bold line runs across 31 edges from A to B.
As a result, the total distance traveled from A to B is 31 kilometers.
Because displacement is the distance between the original and final positions. The displacement in the diagram is 3km. As there is a three-block discrepancy between the beginning and end positions.
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S.I unit for moment of inertia of a fly wheel
Answer:
m is expressed in kilograms and r in metres, with I (moment of inertia) having the dimension kilogram-metre square.
f1=30Nandf2=10Nact on amass of 2kg if the cofficient of friction between the mass and the horizontal surface is 0.2 what is the acceleration of the mass
The mass is moving with an acceleration of 13.299 m/s².
What is the straight forward meaning of acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations.
According to therefore mentioned statement,
the direction of the net force applied on an object determines its acceleration;
according to mentioned data;
F₁=30N
F₂=10N
Net force on object;
F=F₁+F₂
F=F₁y+F₂Cos30°(-x)+F₂ Sinx(-y)
F=3y+10×(√3/2)(-x)+10×(1/2)(-y)
F=ma
ma=-5√3/2(x)+25y
2a=-5√3x/2+25y
a=-5√3x+25y
magnitude(a)=√(-5√3/2)²+(25/2)²
(a) =13.299m/s²
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A 190 g block hangs from a spring with spring constant 9.0 N/m. At t=0s the block is 29 cm below the equilibrium point and moving upward with a speed of 116 cm/s.
What is the block's oscillation frequency?
What is the block's distance from equilibrium when the speed is 57 cm/s ?
What is the block's distance from equilibrium at t = 7.0 s ?
The block's oscillation frequency is 1.1 Hz.
The block's distance from equilibrium when the speed is 57 cm/s is 14.2 cm.
The block's distance from equilibrium at t = 7.0 s is 10.37 cm.
Oscillation frequency of the block
The oscillation frequency of the block is calculated as follows;
f = 1/2π√(k/m)
f = 1/2π √(9/0.19)
f = 1.1 Hz
Angular speed of the blockω = 2πf
ω = 2π x 1.1
ω = 6.91 rad/s
Equation of the block's motionx(t) = A cos(ωt + Φ)
at t = 0, phase constant is calculated asωX sin(Ф) = v
6.91 x 29 sin(Ф) = 116
sin(Ф) = 116/200.39
sin(Ф) = 0.579
Ф = arc sin(0.579)
Ф = 0.62 rad
Amplitude of the wave29 = A cos(6.91 x 0 + 0.62)
29 = A cos(0.62)
29 = A(0.814)
A = 35.63 cm
Distance of the block at given speedwhen the speed is 57 cm/s, the distance of the block is calculated as follows;
ωX sin(Ф) = v
(6.91)X sin(0.62) = 57
X(4.015) = 57
X = 57/4.015
X = 14.2 cm
Distance of the block at given timex(t) = A cos(ωt + Φ)
x(7) = 35.63 cos(6.91 x 7 + 0.62)
x(7) = 10.37 cm
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What is the temperature of an object where it is half as hot as 80°F?
Answer:
See below
Explanation:
In absolute temperature 80 F = 299.82 K
1/2 of this is 149.9 K = - 189.84 degrees F
- 189.84° F is the temperature of an object where it is half as hot as 80°F. A thermometer or even a calorimeter can be used to measure it.
What is temperature?The temperature of a thing is an absolute measure as to how warm or cold it is. A thermometer or even a calorimeter can be used to measure it. It is a method for determining actual internal energy of a particular system.
Temperature is an aspect of reality which we have a reasonably intuitive grasp on since humans easily detect the quantity of heat and cold inside an area. Although the two notions are related, temperature is distinct from heat. Temperature is a measurement of a system's intrinsic energy.
In absolute temperature
80 F = 299.82 K
1/2 of this is 149.9 K = - 189.84° F
Therefore, - 189.84° F is the temperature of an object where it is half as hot as 80°F.
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While John is traveling along a straight interstate highway, he notices that the mile marker reads 252km. John travels until he reaches the 145km marker and then retraces his path to the 177km marker. What is John's resultant displacement from the 252km marker? Answer in units of km.
John's resultant displacement from the 252km marker when traveling along a straight interstate highway is 75 km
Δx = [tex]x_{2}[/tex] - [tex]x_{1}[/tex]
Δx = Displacement
[tex]x_{2}[/tex] = Final position
[tex]x_{1}[/tex] = Initial position
[tex]x_{2}[/tex] = 177 km
[tex]x_{1}[/tex] = 252 km
Δx = 177 - 252
Δx = - 75 km
Displacement is the shortest distance between initial and final positions. It is denoted using Δx. Since, it is a measure of length, its unit is usually meter.
Therefore, John's resultant displacement from the 252km marker when traveling along a straight interstate highway is -75 km
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A reconnaissance plane flies 578 km away from
its base at 360 m/s, then flies back to its base
at 540 m/s.
What is its average speed?
Answer in units of m/s.
Considering the definition of speed, the average speed is 431.94 m/s.
Definition of speedSpeed is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.
In other words, the speed is associated with the change of position of an object in space within a certain amount of time.
The speed can be calculated using the expression:
speed= distance traveled÷ time
Average speed in this caseIn this case, you know that:
A reconnaissance plane flies 578 km away (equal to 578,000 m, being 1 km= 1000 m) from its base at 360 m/s.The reconnaissance flies back to its base at 540 m/s.Replacing in the definition of speed you can calculate the time it takes to fly away and back:
Flies away: 360 m/s= 578,000 m÷ timeFlies back: 540m/s= 578,000 m÷ timeSolving:
Flies away: 360 m/s× time= 578,000 m → time= 578,000 m÷ 360 m/s → time= 1,605.55 secondsFlies back: 540m/s= 578,000 m÷ time → time= 578,000 m÷ 540 m/s → time= 1,070.77 secondsThen, the total distance traveled and the total time will be the sum of each of the sections traveled:
Total distance traveled= distance to fly away + distance to fly back= 578,000 m + 578,000 m= 1,156,000 mTotal time= time to fly away + time to fly back= 1,605.55 seconds + 1,070.77 seconds= 2,676.32 secondsReplacing in the definition of speed:
speed= 1,156,000 m÷ 2,676.32 s
Solving:
speed= 431.94 m/s
Finally, the average speed is 431.94 m/s.
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An adventurous cliff jumper runs horizontally off a cliff at time t = 0. We can ignore air resistance.
Which graph best describes the cliff jumper’s vertical displacement over time?
THE ANSWER IS IN THE ATTACHMENT!
The graph C best describes the cliff jumper's vertical displacement as shown in the attachment.
The initial vertical velocity of the cliff jumper would be zero as the cliff jumper runs off the cliff horizontally. As he jumps off, he is subjected to gravitational pull. This increases his velocity with respect to time.
During some of the initial time, the displacement would be lesser as his velocity increases with increase in time. Also the graph is in the 4th quadrant because the vertical displacement is downwards ( Negative ) as the time increases ( Positive ).
Therefore, the graph with a curve that lies in 4th quadrant with a lesser initial displacement is the correct answer.
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what is the total moved without regard to direction
The entire motion of an object, regardless of direction.
In physics, motion is that the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and frame of regard to an observer and measuring the change in position of the body relative to that frame with change in time. The branch of physics describing the motion of objects without regard to their cause is called kinematics, while the branch studying forces and their effect on motion are named dynamics.
If an object isn't changing relative to a given frame of reference, the thing is said to be at rest, motionless, immobile, stationary, or to possess a constant or time-invariant position with reference to its surroundings. Modern physics holds that, as there's no absolute frame of reference, Newton's concept of absolute motion can't be determined
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A ship sets sail with an initial velocity of 20 m/s and a constant
acceleration of 5 m/s2. What's the ship's velocity after a half
minute (in m/s)?
The ship's velocity after a half minute (in m/s) is 170 m/s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the velocity after half minuteInitial velocity (u) = 20 m/sTime (t) = 1/2 minute = 0.5 minute = 0.5 × 60 = 30 sAcceleration (a) = 5 m/s² Final velocity (v) = ?The final velocity can be obtained as illustrated below:
5 = (v – 20) / 30
Cross multiply
v – 20 = 5 × 30
v – 20 = 150
Collect like terms
v = 150 + 20
v = 170 m/s
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would anyone be able to help me? I'm struggling with the last 2 parts
The time taken for the train to stop is 8.9 seconds.
The distance traveled by the train during acceleration is 9,984 m.
The distance traveled by the train during deceleration is 17.8 m.
Time taken for the train to stop
Use the following kinematic equation to determine the time taken for the train to stop.
v = u + at
where;
v is the final velocity of the train = 0u is the initial velocity = 4 m/sa is the deceleration = -0.45 m/s²t is time of motion0 = 4 - 0.45t
0.45t = 4
t = 4/0.45
t = 8.89 seconds = 8.9 seconds
Distance traveled by the train during accelerations = ut + ¹/₂at²
where;
t is time of motion = 8 min = 480 secondss = (4)(480) + ¹/₂(0.07)(480)²
s = 9,984 m
Distance traveled by the train during decelerations = ut + ¹/₂at²
s = (4 x 8.9) + ¹/₂(-0.45)(8.9)²
s = (4 x 8.9) - ¹/₂(0.45)(8.9)²
s = 17.8 m
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Montez drives 400 km west to play a gig in Kansas City.
After the gig he drives 200 km east to jam with some
musicians in Columbia. What distance did he cover? What
was his displacement?
Answer:
See below
Explanation:
Distance covered = 400 + 200 = 600 km
displacement = 400 w - 200 e = 200 km west
You are conducting an experiment inside a train car that may move along level rail tracks. A load is hung from the ceiling on a string. The load is not swinging, and the string is observed to make a constant angle of 10∘ with the vertical. No forces are acting on the load. Which of the following statements are correct?
Select all 3 that apply.
a. The train is an inertial frame of reference
b. The train is not an inertial frame of reference
c. The train may be instantaneously at rest
d. The train may be moving at a constant speed in a straight line
e. The train may be moving at a constant speed in a circle
f. The train must be speeding up
The train is not an inertial frame of reference, and the train may be moving at a constant speed in a straight line or the train may be instantaneously at rest.
What is uniform speed and Acceleration?The pace at which an object's position changes about relation to a frame of reference and time is known as its velocity.
Uniform velocity is the state in which a body travels the same distance in the same amount of time. When the amplitude and direction of a body's average velocity (v) over time (t) do not change over time, the body is said to be moving at a uniform velocity. An illustration of uniform motion is the moon's orbit around the earth.
As the rate of change of velocity, acceleration is an illustration of a vector quantity.
When an item is moving in a straight path with an increase in velocity occurring at regular intervals of time, it is said to be experiencing uniform acceleration. The uniform acceleration of an object during free fall is one example.
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Q1]. An electric field has a magnitude of 400 N/C and makes an angle
60
o
with the perpendicular to the surface of a flat surface of dimensions 30 cm by 20 cm. Calculate the electric flux through the surface.
Q2. Two large horizontal, parallel metal plates are 2.0 cm apart in air and the upper plate is maintained at a positive potential relative to the lower plate so that field strength between them is
2.5x10^5 vm^1.
An electron is released from rest at the lower plate. What is its speed on reaching the upper plate? [e=1.6x10^19 ;me=9.1x10^31kg].
Answer:
An electric field has a magnitude of 400 N/C and makes an angle
60
o
with the perpendicular to the surface of a flat surface of dimensions 30 cm by 20 cm. Calculate the electric flux through the surface.
Explanation:
The outline of a partial periodic table is shown below.
You are making observations of an unknown metal. In which section of the periodic table should the unknown metal be located? a. Section 1 b. Section 2 c. Section 3 d. Section 4
Answer:
section 2
Explanation:
section 2 contains Alkali, Alkaline, Transition, and Post-transition metals
How do ice cubes form in the freezer?
Answer:
In a freezer, the air molecules absorb energy from the water, causing the water molecules to freeze into a solid.
Answer: Water expands when it freezes. As freezing continues, the expanding ice under the surface forces the remaining water up through the hole and it freezes around the edge forming a hollow spike
Explanation:
Water expands when it freezes. As freezing continues, the expanding ice under the surface forces the remaining water up through the hole and it freezes around the edge forming a hollow spike. Eventually, the whole thing freezes and the spike is left.
part 1 of 2
A runner is jogging in a straight line at a
steady u, 2.2 km/hr. When the runner is
L 4 km from the finish line, a bird begins
flying straight from the runner to the finish
line at v= 6.6 km/hr (3 times as fast as the
runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.
24
finish
line
L
What cumulative distance does the bird
travel? Even though the bird is a dodo, as-
sume that it occupies only one point in space
(a "zero" length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.
Answer in units of km
After the given information and solving it the cumulative distance the bird travel is 6 km.
Equation :The given parameters of the motion are;
The velocity of the runner,
vr = 2.2 km/hr
The distance from the finish line and the bird begins to fly from the runner to the finish line,
L = 4 km
The direction and speed of the runner = 6.6 km/hr in a straight line to the finish line and back to the runner
The speed of the bird = 4 × The speed of the runner
Given,
The length of the bird = 0
The bird turns without loss of speed
The time it takes the bird to reach the finish line,
t₁ = 4 km / (6.6 km/hr) = 0.606 hr
The distance the runner runs in time t₁,
d = 2.2 km/hr × 0.606 hr
d = 1.3332 km
The distance runner and bird combined travel before they meet,
X, is given as follows;
X = L - d
X = 4 km - 1.3332 km
X = 2.667 km
We get; X = (vr + vb) x t
Which gives;
2.667 = ( 2.2 + 6.6) × t
t = 2.667/( 2.2 + 6.6 )
t = 2.667/(8.8)
t = 0.303
The time it take for the bird and the runner to meet,
t = 0.303 hour
The distance the bird travels before reaching the runner,
d₂ = vb x t
So,
d₂ = 6.6 km/hr × 0.303 hr = 2 km
The cumulative distance the bird travels dt = L + d2
dt = 4 km + 2km
dt = 6 km
The cumulative distance the bird travels by the time it reaches the runner dt = 6 km
Alternatively, we have;
db = d₁ + d₃
dr = d₂
d₁ + d₃ + d₂ = 2·L
So, dr + db = 2·L
dr = The distance runner runs before meeting with the bird
db = The distance bird travels before meeting with the runner
db = 4dr
So,
dr + db = 3 × 4 = 12
dr + 4· dr = 4 · dr = 12
dr = 12 /4 = 3
db =3 × dr
db = 3 × 2
db = 6 km
The distance bird travels before meeting with the runner,
db = 6 km
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A force of 20 N gives an object an acceleration of 5 m/s^2.
A)What force would be needed to give the same object an acceleration of 1 m/s^2
B) what force would be needed to give it an acceleration of 10 m/s^2
The question can be solved using the principle of Newton's second law of Motion. Newton's second law of motion is often stated as F=ma, which means the force acting on an object is equal to the mass (m) of an object times its acceleration.
F=ma
According to the given data,
Force of 20N is applied to the object
acceleration of 5 m/s^2 is obtained on the object
From Newton's second law of motion,
F=ma
20N =m x 5
m=4kg
To obtain an acceleration of 1 m/s^2, the force required will be
F= ma
F= 4 X 1 = 4 N
To obtain an acceleration of 10 m/s^2, the force required will be
F=ma
F= 4 x 10
= 40 N
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In a biathalon race you first ride a bicycle at an average speed of 19.1 mi/h for 18.5 miles, then you must run for another 5.5 miles. With what average speed, in miles per hour, must you run if your average speed for the entire race is to be 14.5 mi/h?
The average speed you must run is 7.97 mph.
What is average speed?The average speed of an object is the ratio of total distance traveled by the object to
Average speed = total distance / total time of motion
Total time of motion = total distance / average speed
total time = (18.5 + 5.5) / (14.5)
total time = 1.66 hours
time taken during the bicycle ridet1 = 18.5 / 19.1
t1 = 0.97 hour
time taken during the runt2 = 1.66 hr - 0.97 hr
t2 = 0.69 hr
Average speed during the runv = 5.5 miles /0.69 hr
v = 7.97 mph
Thus, the average speed you must run is 7.97 mph.
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Fan B has an efficiency of 55% and usefully transfers 10J of energy to its kinetic energy store each second. Calculate how much energy is supplied to fan B per second
Fan B has an efficiency of 55% and usefully transfers 10J of energy to its kinetic energy store each second. 18.18 J of energy is supplied to fan B per second.
What definition of effectiveness is the best?Efficiency is the capacity to do a task with little or no wastage, effort, or energy. Being effective is maximizing the use of the resources at your disposal to achieve your objectives. Simply put, something is efficient if there is no waste and every process is optimized.
To calculate the input energy use the following formula
Efficiency = Energy(out) / Energy(in) * 100%
Efficiency = 55%
Energy(out) = 10J
Energy(in) = ?
On putting the given values we get,
55 = Energy(in) / 10 * 100%
On solving we get,
Energy(in) = 18.18J
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: list five Derived quantities
Answer:
pascal
energy,
power,
electric charge,
Explanation:
Which process is a change from gas to liquid?
OA. Freezing
B. Melting
OC. Vaporization
OD. Condensation
Answer:
Condensation
Explanation:
When water vapour (gas) is cooled it undergoes CONDENSATION to form water(liquid).
Which combination of atoms form covalent bonds?
nonmetals & metals
metals only
nonmetals only
none of these
Previous
The driver of a car slams on the brakes, causing the car to slow down at a rate of 17.0ft/s2 as the car skids 172ft to a stop
How long does the car take to stop?
What was the car's initial speed?
The time taken for the car to stop is 4.5 seconds and the initial speed of the car is 76.47 ft/s.
Initial speed of the carThe initial speed of the car is calculated as follows;
v² = u² + 2as
where;
v is the final velocity, when the car stops, v = 0u is the initial velocitya is the accelerations is the distance traveled0 = u² + 2as
0 = u² + 2(-17)(172)
0 = u² - 5858
u² = 5848
u = 76.47 ft/s
Time of motion of the carv = u + at
0 = 76.47 - 17t
17t = 76.47
t = 4.5 seconds
Thus, the time taken for the car to stop is 4.5 seconds and the initial speed of the car is 76.47 ft/s.
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During a cold winter night in Boston, a family uses a 1500 W electric space heater with
an applied voltage of 110 V to keep warm for 8 hours. Determine the electrical current
drawn by the heater, in Amps, and total amount of energy supplied to the heater by
electrical work, in kW·h. If electric power is valued at $0.08/ kW·h, determine the cost of
operation for the night.
The cost of operating it through the night is $0.96.
What is the current?We know that the electrical current is obtained by the use of the formula;
P = IV
P = power
V = voltage
I = current
I = P/V
I = 1500 W/110 V
I = 13.6 A
Now;
The power in kW = 1.5 kW hence the energy used in 1 hour is 1.5 kWhr
If the cost of 1 kWhr = $0.08
Then 1.5 kWhr costs = 1.5 kWhr * $0.08/1 kWhr
= $0.12
To operate it all through the night = 8 * $0.12 = $0.96
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d) A Body of mass 12.0 kg is placed on an orange tree 20.0 metres above the ground.
i. Calculate its potential energy with respect to the ground.
ii. If the body is released from this height, what will be its kinetic energy just before it hits the ground.
[Take g = 10 ms2]
Answer:
here's the answer
Explanation:
given:
h= 20.0m
M= 12.0kg
g=10m/s²
solution:
potential energy = mgh = (12.0kg)(10m/s²)(20.0m)
= 2400
potential energy = 2400J
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An 80% furnace's discharge air temperature is 125 degrees F and is adding heat to a space at the rate of 80,000 BTU's an hour. What is the input rating of the furnace?
a. 60,000 Btu's
b. 120,000 Btu's
c. 75,000 Btu's
d. 100,000 Btu’s
D. The input rating of the furnace is determined as 100,000 BTU.
What is input rating?Input power rating means the power, expressed in Watts or one of its multiples, for which the energy storage unit has been designed to operate at nominal conditions.
eff = (output rating / input rating) x 100%
80/100 = 80,000 BTU / input rating
0.8 = 80,000 BTU / input rating
input rating = 80,000 BTU/0.8
input rating = 100,000 BTU
Thus, the input rating of the furnace is determined as 100,000 BTU.
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