Question

1. given: radius (r): 0.6 m angular velocity (ω): 40.0 rad/s wanted: linear velocity (v) in m/s? 21.1 m/s 24.0 m/s 27.1 m/s 28.8 m/s

Explanation:

Step1: Recall the formula for linear velocity

The formula for linear velocity \(v\) in terms of angular velocity \(\omega\) and radius \(r\) is \(v = r\omega\).

Step2: Substitute the given values

Given \(r = 0.6\space m\) and \(\omega=40.0\space rad/s\), substitute into the formula: \(v=(0.6)(40.0)\).

Step3: Calculate the value

\(v = 24.0\space m/s\)

Answer:

24.0 m/s