Video Transcript
Complete the following. The rate at which work is done is called what.
The statement in this question is the direct definition of power, as we know that the power supplied by a force is the rate at which a force does work on a body such that it is the time derivative of the work done on the body by the force. This means that if we have an expression for the work done in terms of time, we can find an expression for the power in terms of time by differentiating with respect to 𝑡.
Likewise, if given an expression for the power in terms of time, we can integrate with respect to 𝑡 to find an expression for the work done. We can therefore conclude that the missing word from the statement is power.
The rate at which work is done is called power.