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What is the angular speed in radians per second (rad/s) of the minute hand on a clock? A. 1.7 x...

Question:

What is the angular speed in Radians per second (rad/s) of the minute hand on a clock?

A. 1.7 x 10-3 rad/s

B. 3.5 x 10-3 rad/s

C. 0.10 rad/s

D. 0.0167 rad/s

Rotational motion

We have to use the concept and equation of the rotational motion to find the solution to this problem. We have to use the rotational kinematics equation to establish the relation between the angular displacement, time and angular velocity

Answer and Explanation:

Time period to cover one rotation (t) = 60 s

Now the angular frequency is given by

{eq}\displaystyle w = \frac{2\pi }{t} \\ w = \frac{2\pi}{60} \\ w = 0.105 \ rad/s {/eq}

Hence the correct option is "C"


Learn more about this topic:

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Practice Applying Rotational Motion Formulas

from Physics 101: Help and Review

Chapter 17 / Lesson 15
870

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