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Which of the following quantities determine the rate of work performed by a machine?
Question

Which of the following quantities determine the rate of work performed by a machine?

A.

Total force exerted

B.

Power

C.

Rate of change of velocity

D.

Total energy consumed

Correct option is B

The correct answer is (b) Power

Explanation:

Power is the quantity that determines the rate at which work is performed by a machine. It is defined as the rate of doing work or the rate of energy transfer.

The formula for power is:

Power=WorkTime=Force×DisplacementTime\text{Power} = \frac{\text{Work}}{\text{Time}} = \frac{\text{Force} \times \text{Displacement}}{\text{Time}}​​

Power is measured in watts (W), where 1 watt equals 1 joule per second.

Information Booster:

Work is done when a force causes a displacement of an object. The amount of work done is given by the equation:

                                          Work=Force×Displacement×cos(θ)\text{Work} = \text{Force} \times \text{Displacement} \times \cos(\theta)​​

where θ is the angle between the force and displacement vectors.

Power provides insight into how quickly work is being done. For example, a machine that completes work faster has higher power, even if the total work done is the same.

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