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Which of the following quantities determine the rate of work performed by a machine?
Total force exerted
Power
Rate of change of velocity
Total energy consumed
Power
Power is defined as the rate at which work is performed or energy is transferred. Therefore, the quantity that determines how quickly a machine performs work is its power output.
Power is defined as the rate at which work is performed or energy is transferred. Therefore, the quantity that determines how quickly a machine performs work is its power output.
If you climb a flight of stairs by running instead of walking, you do the same amount of work but in less time, meaning you demonstrate higher power.
P=tWтАЛ тАФ Power is work done per unit time
P=F├Чv тАФ Power as the product of force and velocity
In physics, power is the scalar quantity representing the rate of doing work. If a machine performs an amount of work W in a time interval t, the average power P is given by the ratio P=tWтАЛ. Since work is defined as force multiplied by displacement, P=tF├ЧdтАЛ=F├Чv, showing that power is also related to the force applied and the velocity of the object.
The SI unit of power is the Watt (W), where 1┬аWatt=1┬аJoule/second.
Power measures the speed of work; higher power means the machine completes the task faster.
Work and energy are related via the Work-Energy Theorem, making power a measurement of the rate of energy conversion.
Determining the rating of electric motors
Comparing the performance efficiency of heavy machinery
Total force exerted is a component of work but does not account for the time factor.
Rate of change of velocity is the definition of acceleration (a=dtdvтАЛ), which is related to force through Newton's Second Law (F=ma).
Total energy consumed is the total work done (W), not the rate of performing it.
B is correct тАФ Power is defined specifically as the rate at which work is done.
Always remember that 'rate' in physics almost always implies division by time; when you see 'rate of work', look for 'Power'.
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