Question

moving to another question will save this response. question 6 what is the angular speed in rad/s of the second hand of a watch? 6.28 rad/s 0.10 rad/s 0.02 rad/s 60 rad/s 1.7 × 10^{-3} rad/s

Explanation:

Step1: Recall the formula for angular speed

The formula for angular speed \(\omega=\frac{\Delta\theta}{\Delta t}\). For a second - hand of a watch, it makes a full - circle (\(\Delta\theta = 2\pi\) radians) in \(t = 60\) seconds.

Step2: Calculate the angular speed

Substitute \(\Delta\theta=2\pi\) and \(\Delta t = 60\) into the formula \(\omega=\frac{2\pi}{60}\). Since \(\pi\approx3.14\), then \(\omega=\frac{2\times3.14}{60}=\frac{6.28}{60}\approx0.10\) rad/s.

Answer:

\(0.10\) rad/s