What is the Angular Displacement during a Time Interval?

A child on a merry-go-round takes 3.1 s to go around once.

What is his angular displacement during a 1.0 s time interval?

“The period (T) is the duration of one cycle in a repeating event”

Known Variables:

Period: T=3.1 seconds

Time: t= 1.0 second

In order to find Angular displacement(Δθ), we need angular speed.

First step is to find Angular speed (ω).

ω=2π/T

2π/3.1= 2.02 rads/sec

Angular displacement(Δθ)

Δθ= ω×t

2.02 × 1.0= 2.0 rad

Δθ= 2.0 rad