## 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**

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