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The Earth's rate of rotation is constantly decreasing,

Chapter 10, Problem 23P

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QUESTION:

Problem 23P

The Earth's rate of rotation is constantly decreasing, causing the day to increase in duration. In the year 2006 the Earth took about 0.840 s longer to complete 365 revolutions than it did in the year 1906. What was the average angular acceleration of the Earth during this time? Give your answer in rad/s.

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QUESTION:

Problem 23P

The Earth's rate of rotation is constantly decreasing, causing the day to increase in duration. In the year 2006 the Earth took about 0.840 s longer to complete 365 revolutions than it did in the year 1906. What was the average angular acceleration of the Earth during this time? Give your answer in rad/s.

ANSWER:

Step 1 of 5

The angular speed of earth  at time  is given by,

Implies, the angular acceleration of earth,

..................(1)

Where,  is the initial angular speed.

 is the final angular speed.

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