Question

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

Answer 1

Answer:

a. 5 Hertz

b. 35 rotations

Explanation:

a. Frequency is given by $f=\frac{1}{T}$ where $T$ is the period, in seconds. Given that $T=0.2$, the frequency of this object's rotation is:

$f=\frac{1}{T}=\frac{1}{0.2}=\boxed{5\text{ Hz}}$

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):

$\frac{7}{0.2}=\boxed{35 \text{ rotations}}$