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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 person rides a Ferris wheel that turns with constant angular velocity. Her weight is \(520.0 \mathrm{N}\). At the top of the ride her apparent weight is \(1.5 \mathrm{N}\) different from her true weight. (a) Is her apparent weight at the top \(521.5 \mathrm{N}\) or \(518.5 \mathrm{N} ?\) Why? (b) What is her apparent weight at the bottom of the ride? (c) If the angular speed of the Ferris wheel is \(0.025 \mathrm{rad} / \mathrm{s},\) what is its radius?
Convert these to radian measure: (a) \(30.0^{\circ},\) (b) \(135^{\circ}\) (c) \(\frac{1}{4}\) revolution, (d) 33.3 revolutions.
You place a penny on a turntable at a distance of \(10.0 \mathrm{cm}\) from the center. The coefficient of static friction between the penny and the turntable is \(0.350 .\) The turntable's angular acceleration is $2.00 \mathrm{rad} / \mathrm{s}^{2} .$ How long after you turn on the turntable will the penny begin to slide off of the turntable?
Grace is playing with her dolls and decides to give them a ride on a merry-go- round. She places one of them on an old record player turntable and sets the angular speed at 33.3 rpm. (a) What is their angular speed in rad/s? (b) If the doll is \(13 \mathrm{cm}\) from the center of the spinning turntable platform, how fast (in \(\mathrm{m} / \mathrm{s}\) ) is the doll moving?
Centrifuges are commonly used in biological laboratories for the isolation and maintenance of cell preparations. For cell separation, the centrifugation conditions are typically \(1.0 \times 10^{3}\) rpm using an 8.0 -cm-radius rotor. (a) What is the radial acceleration of material in the centrifuge under these conditions? Express your answer as a multiple of \(g .\) (b) At $1.0 \times 10^{3}$ rpm (and with a 8.0-cm rotor), what is the net force on a red blood cell whose mass is \(9.0 \times 10^{-14} \mathrm{kg} ?\) (c) What is the net force on a virus particle of mass \(5.0 \times 10^{-21} \mathrm{kg}\) under the same conditions? (d) To pellet out virus particles and even to separate large molecules such as proteins, superhigh-speed centrifuges called ultracentrifuges are used in which the rotor spins in a vacuum to reduce heating due to friction. What is the radial acceleration inside an ultracentrifuge at 75000 rpm with an 8.0 -cm rotor? Express your answer as a multiple of \(g\).
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