Question

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

Answer 1

Average speed, v =1022.90 m/s

Step-by-step explanation:

Given that,

The average distance between the moon and the earth is,
`r=3.84* 10^8\ m`

The period of revolution of the Moon,
`T=27.3\ days`

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 :

`v=r* \omega`

Where

`\omega` is the angular speed

`v=r* (2\pi r)/(T)`

Since, 1 day = 86400 seconds

27.3 days = 2358720 seconds

`v=r* (2\pi)/(T)`

`v=(2\pi * 3.84* 10^8)/(2358720)`

v = 1022.90 m/s

or

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