Question

An object is spun around in circular motion such that its period is 0.2 seconds.

a. What is the frequency of its rotation?


b. How many rotations will be completed in 7 seconds?

Answer 1

a. 5 Hertz

b. 35 rotations

Step-by-step explanation:

a. Frequency is given by
`f=(1)/(T)` where
`T` is the period, in seconds. Given that
`T=0.2`, the frequency of this object's rotation is:

`f=(1)/(T)=(1)/(0.2)=\boxed{5\text{ Hz}}`

b. Since one rotation, or period, is completed in 0.2 seconds, divide the amount of time (7 seconds) by the time it takes to complete one revolution (0.2 seconds):

`(7)/(0.2)=\boxed{35 \text{ rotations}}`