Calculate the average speed of the moon around the earth. the moon has a period of revolution of 27.3 days and an average distance from the earth of 3.84 × 108 m. 1. 2054.6 m/s 2. 2045.8 m/s 3. none of these 4. 8.83789 × 107 m/s 5. 3688.5 m/s 6. 3.68245 × 106 m/s 7. 1022.9 m/s 8. 584000 m/s 9. 61374.2 m/s

Average speed, v =1022.90 m/s

Explanation:

Given that,

The average distance between the moon and the earth is,

The period of revolution of the Moon,

To find,

The average speed of the Moon around the Earth.

Solution,

If T is the orbital period and r is the orbital speed of the moon. The average speed is given by :

Where

is the angular speed

Since, 1 day = 86400 seconds

27.3 days = 2358720 seconds

v = 1022.90 m/s

or

So, the average speed of the Moon around the Earth is 1022.90 m/s.

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