(a)
The period of the Moon’s rotation in seconds.
(a)
Answer to Problem 6SSC
The period of the Moon’s rotation is
Explanation of Solution
Given:
The time taken for the Moon rotates once on its axis is
The radius of the Moon is
Formula used:
To convert time from days to seconds, multiply by
Calculation:
The period of the Moon’s rotation in seconds as follows:
Conclusion:
Therefore, the period of the Moon’s rotation is
(b)
The frequency of the Moon’s rotation in
(b)
Answer to Problem 6SSC
The frequency of the Moon’s rotation is
Explanation of Solution
Given:
The time taken for the Moon rotates once on its axis is
The radius of the Moon is
Formula used:
The expression for the frequency as follows:
Here,
Calculation:
From part (a), the period of the Moon’s rotation is
The frequency of the Moon’s rotation is,
Conclusion:
Therefore, the frequency of the Moon’s rotation is
(c)
The linear speed of the rock on the surface at the Moon’s equator due to the Moon’s rotation.
(c)
Answer to Problem 6SSC
The linear speed of the rock on the surface at the Moon’s equator due to the Moon’s rotation is
Explanation of Solution
Given:
The time taken for the Moon rotates once on its axis is
The radius of the Moon is
Formula used:
The expression for the linear velocity as follows:
Here,
Calculation:
From part (b), the frequency of the Moon’s rotation is
The linear speed of the rock on the surface at the Moon’s equator due to the Moon’s rotation is
Conclusion:
Therefore, the linear speed of the rock on the surface at the Moon’s equator due to the Moon’s rotation is
(d)
To compare:The speed of the rock on the surface at the Moon’s equator due to the Moon’s rotation with the speed of a person at Earth’s equator due to the Earth’s rotation.
(d)
Answer to Problem 6SSC
The speed of a person at Earth’s equator due to the Earth’s rotation is
Explanation of Solution
Given:
The time taken for the Moon rotates once on its axis is
The radius of the Moon is
Formula used:
The expression for the frequency as follows:
Here,
The expression for the linear velocity as follows:
Here,
Calculation:
Consider the time taken for the Earth rotates once on its axis is
Consider the radius of the Earth is
From part (c), the linear speed of the rock on the surface at the Moon’s equator due to the Moon’s rotation is
The period of the Earth’s rotation in seconds is
The frequency of the Earth’s rotation is
The linear speed of a person at Earth’s equator due to the Earth’s rotation as follows:
By comparing the speed of the rock on the surface at the Moon’s equator due to the Moon’s rotation with the speed of a person at Earth’s equator due to the Earth’s rotation, the speed of a person at Earth’s equator due to the Earth’s rotation is
Conclusion:
Therefore, the speed of a person at Earth’s equator due to the Earth’s rotation is
Chapter 8 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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