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Chapter 8: 8-19Q (page 198)

In what direction is the Earth’s angular velocity vector as it rotates daily about its axis, north or south?

Short Answer

Expert verified

The angular velocity of the Earth is in the north direction.

Step by step solution

01

Understanding the right-hand rule

According to the right-hand rule, when you roll your fingers in the direction of the object's movement, the thumb will indicate the rotation direction.

02

Direction of the Earth’s angular velocity

On applying the right-hand rule, if the fingers point toward the Earth’s rotation direction, which is from west to east, the thumb will point in the north direction. So, the angular velocity is directed along its axis of rotation, which is north.

Thus, the Earth’s angular velocity vector is toward the north.

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Most popular questions from this chapter

Bicycle gears: (a) How is the angular velocity\({{\bf{\omega }}_{\bf{R}}}\) of the rear wheel of a bicycle related to the angular velocity\({{\bf{\omega }}_{\bf{F}}}\)of the front sprocket and pedals? Let \({{\bf{N}}_{\bf{F}}}\) and \({{\bf{N}}_{\bf{R}}}\) be the number of teeth on the front and rear sprockets, respectively, Fig. 8–58. The teeth are spaced the same on both sprockets and the rear sprocket is firmly attached to the rear wheel. (b) Evaluate the ratio when the front and rear sprockets have 52 and 13 teeth, respectively, and (c) when they have 42 and 28 teeth.

Two blocks, each of mass m, are attached to the ends of a massless rod which pivots as shown in Fig. 8–43. Initially the rod is held in the horizontal position and then released. Calculate the magnitude and direction of the net torque on this system when it is first released.

The Moon orbits the Earth such that the same side always faces the Earth. Determine the ratio of the Moon’s spin angular momentum (about its own axis) to its orbital angular momentum. (In the latter case, treat the Moon as a particle orbiting the Earth.)

Determine the net torque on the 2.0-m-long uniform beam shown in Fig. 8–45. All forces are shown. Calculate about (a) point C, the CM, and (b) point P at one end.

The tires of a car make 75 revolutions as the car reduces its speed uniformly from 95 km/h to 55 km/h. The tires have a diameter of 0.80 m. (a) What was the angular acceleration of the tires? If the car continues to decelerate at this rate, (b) how much more time is required for it to stop, and (c) how far does it go?
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