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Chapter 8: 8-19Q (page 198)

In what direction is the Earth鈥檚 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鈥檚 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鈥檚 angular velocity vector is toward the north.

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Most popular questions from this chapter

A wheel of mass M has radius R. It is standing vertically on the floor, and we want to exert a horizontal force F at its axle so that it will climb a step against which it rests (Fig. 8鈥�60). The step has height h, where h < R. What minimum force F is needed?

A rotating merry-go-round makes one complete revolution in 4.0 s (Fig. 8鈥�41). (a) What is the linear speed of a child seated 1.2 m from the center? (b) What is her acceleration (give components)?

FIGURE 8-41 Problem 10

I) Water drives a waterwheel (or turbine) of radius R = 3.0 m as shown in Fig. 8鈥�66. The water enters at a speed\({v_1} = 7.0\;{\rm{m/s}}\)and exits from the waterwheel at a speed\({v_2} = 3.8\;{\rm{m/s}}\). (a) If 85 kg of water passes through per second, what is the rate at which the water delivers angular momentum to the waterwheel? (b) What is the torque the water applies to the waterwheel? (c) If the water causes the waterwheel to make one revolution every 5.5 s, how much power is delivered to the wheel?

Can a small force ever exert a greater torque than a larger force? Explain.

A merry-go-round with a moment of inertia equal to \({\bf{1260}}\;{\bf{kg}} \cdot {{\bf{m}}{\bf{2}}}\) and a radius of 2.5 m rotates with negligible friction at \({\bf{1}}{\bf{.70}}\;{{{\bf{rad}}} \mathord{\left/ {\vphantom {{{\bf{rad}}} {\bf{s}}}} \right. \\{\bf{s}}}\). A child initially standing still next to the merry-go-round jumps onto the edge of the platform straight toward the axis of rotation, causing the platform to slow to \({\bf{1}}{\bf{.35}}\;{{{\bf{rad}}} \mathord{\left/{\vphantom {{{\bf{rad}}} {\bf{s}}}} \right.

\\{\bf{s}}}\). What is her mass?
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