Question

1. given: radius (r): 0.9 m angular velocity (ω): 7.00 rad/s wanted: linear velocity (v) in 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

Substitute \(r = 0.9\space m\) and \(\omega=7.00\space rad/s\) into the formula. So \(v=(0.9)(7.00)\).

Step3: Calculate the value

\(v = 6.30\space m/s\)

Answer:

\(6.30\space m/s\)