CollegeBoard SAT Physics Study Guide PT1 Q36

CollegeBoard's Book

36) This problem asks us to find an expression for the power generated. We can use this equation to solve for the power generated by the engine.

Where P is power, W is work, and t is time

The problem already tells us that the work done by the engine in 1 cycle is X Joules. And we are given the frequency(number of cycles per second). However, we need the period(the number of seconds per cycle). The period and the frequency are reciprocals of each other. Since we have the frequency, we can find the period.

Where T is the period

Now, the final step is to plug in our period and our given work to solve for power.

Where P is power, W is work, and t is time

Answer: D