The electromotive force V of an alternating current circuit at time t can be describe by the following function, where V is volts and t is in seconds. V(t) = 220sin(180πt). How many cycles
will the circuit run through in 1 minute?

5400 cycles

Step-by-step explanation:

You have the following function:

where t is in seconds.

In order to find the number of cycles in 1 minute, you first  calculate the frequency of the function, which is given by:

The number of cycles is then given by:

There are 5400 cycles in 1 minute