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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 child swings a rock of mass \(m\) in a horizontal circle using a rope of length \(L\). The rock moves at constant speed \(v\). (a) Ignoring gravity, find the tension in the rope. (b) Now include gravity (the weight of the rock is no longer negligible, although the weight of the rope still is negligible). What is the tension in the rope? Express the tension in terms of \(m, g, v, L,\) and the angle \(\theta\) that the rope makes with the horizontal.
A pendulum is \(0.80 \mathrm{m}\) long and the bob has a mass of 1.0 kg. At the bottom of its swing, the bob's speed is \(1.6 \mathrm{m} / \mathrm{s} .\) (a) What is the tension in the string at the bottom of the swing? (b) Explain why the tension is greater than the weight of the bob.
A roller coaster has a vertical loop with radius \(29.5 \mathrm{m}\) With what minimum speed should the roller coaster car be moving at the top of the loop so that the passengers do not lose contact with the seats?
A curve in a stretch of highway has radius \(R .\) The road is unbanked. The coefficient of static friction between the tires and road is \(\mu_{s} .\) (a) What is the fastest speed that a car can safely travel around the curve? (b) Explain what happens when a car enters the curve at a speed greater than the maximum safe speed. Illustrate with an FBD.
A soccer ball of diameter \(31 \mathrm{cm}\) rolls without slipping at a linear speed of \(2.8 \mathrm{m} / \mathrm{s} .\) Through how many revolutions has the soccer ball turned as it moves a linear distance of \(18 \mathrm{m} ?\)
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