Question

An object is spun around in circular motion such that its frequency is 0.05 Hz.

a. What is the period of its rotation?

b. How much time will be required to complete 8 rotations?

Answer 1

a. 20 seconds

b. 160 seconds

Step-by-step explanation:

a. Frequency is given by
`f=(1)/(T)`, where
`T` is the period in seconds. Rearranging, we get
`T=(1)/(f)`. Given that frequency is 0.05 Hz, we have:

`T=(1)/(0.05)=\boxed{20\text{ seconds}}`

b. Since we just found that it takes 20 seconds to complete one rotation (period), it will take
`20\cdot 8=\boxed{160\text{ seconds}}` to complete 8 rotations.