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Chapter 5: Problem 3

Find the average angular speed of the second hand of a clock.

Short Answer

Expert verified
Answer: The average angular speed of the second hand of a clock is 6 degrees per second.

Step by step solution

01

Identify the total angle

We know that the second hand of a clock completes one full rotation, which corresponds to a total angle of 360 degrees.
02

Identify the time taken

As the second hand moves around the full circle once every minute, that means the time taken for one full rotation is 60 seconds.
03

Calculate the average angular speed

The average angular speed (\(\omega\)) is the total angle traversed divided by the total time taken. In this case, \(\omega = \frac{360 \text{ degrees}}{60 \text{ seconds}}\). Calculate the average angular speed: \(\omega = \frac{360}{60} = 6\) degrees per second. The average angular speed of the second hand of a clock is 6 degrees per second.

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Most popular questions from this chapter

A \(0.700-\mathrm{kg}\) ball is on the end of a rope that is \(1.30 \mathrm{m}\) in length. The ball and rope are attached to a pole and the entire apparatus, including the pole, rotates about the pole's symmetry axis. The rope makes an angle of \(70.0^{\circ}\) with respect to the vertical. What is the tangential speed of the ball?
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