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# The axis of Earth makes a 23.5° angle with a direction ISBN: 9780130606204 3

## Solution for problem 48PE Chapter 10

Physics: Principles with Applications | 6th Edition

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Problem 48PE

The axis of Earth makes a 23.5° angle with a direction perpendicular to the plane of Earth’s orbit. As shown in Figure 10.41, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a single force (it is not) acting at the most effective point on the equator, what would its magnitude be?

Step-by-Step Solution:

Step-by-step solution Step 1 of 9 The change in angular momentum in half its time is calculated as, Here is the angular momentum of the earth about its axis, is the moment of inertia of the Earth and is the angular velocity of the axis.

Step 2 of 9

Step 3 of 9

##### ISBN: 9780130606204

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The axis of Earth makes a 23.5° angle with a direction