Question

A young girl is on a swing that completes 40.0 cycles in 10 seconds. What are its frequency and period?

A) Frequency: 0.25 Hz, Period: 4.0 s

B) Frequency: 4.0 Hz, Period: 0.25 s

C) Frequency: 10 Hz, Period: 0.1 s

D) Frequency: 0.1 Hz, Period: 10.0 s

Answer 1

The frequency of the swing is 4.0 Hz and the period is 0.25 s.

Step-by-step explanation:

The frequency of the swing can be calculated by dividing the number of cycles completed in a given time by the time taken. In this case, the swing completes 40 cycles in 10 seconds, so the frequency would be 40/10 = 4.0 Hz.

The period of the swing is the time taken for one complete cycle. It can be calculated by taking the inverse of the frequency. In this case, the period would be 1/4.0 = 0.25 s.