Question

An object completes 50 cycles in 150 s.

a. What is the period of its rotation?


b. What is the frequency of its rotation?

Answer 1

a. 3 seconds

b. 0.33 Hz

Step-by-step explanation:

a. Period is defined by how long, in seconds, it takes for an object to complete one revolution, or cycle. If the object completes 50 cycles in 150 seconds, then it must complete one cycle every 150/50 = 3 seconds. Therefore, the period of the object is
`\boxed{3\text{ seconds}}`.

b. Frequency is given by
`f=(1)/(T)` where
`T` is the period, in seconds. Since we just found that the period is 3 seconds, plug in
`T=3`:

`f=(1)/(3)\approx \boxed{0.33\text{ Hz}}`