Question

given:
change in angle (δθ): 200 rad
change in time (δt): 6.00 s
wanted: angular velocity (ω) in rad/s?
31.3 rad/s
33.3 rad/s
35.3 rad/s
40.7 rad/s

Explanation:

Step1: Recall the formula for angular velocity

Angular velocity \(\omega=\frac{\Delta\theta}{\Delta t}\)

Step2: Substitute the given values

Given \(\Delta\theta = 200\) rad and \(\Delta t=6.00\) s. Then \(\omega=\frac{200}{6.00}\)

Step3: Calculate the value

\(\omega=\frac{200}{6.00}\approx33.3\) rad/s

Answer:

33.3 rad/s