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Chapter 6: Q. 105 (page 366)

The mean distance of the moon from Earth is 2.39脳105 miles. Assuming that the orbit of the moon around Earth is circular and that 1 revolution takes 27.3 days, find the linear speed of the moon. Express your answer in miles per hour.

Short Answer

Expert verified

The linear speed of the moon is 2290.781 miles per hour.

Step by step solution

01

Given information.

Let us consider that, the earth is the center and the moon is revolving around the earth in a circular shape.

So that, radius of the circular path (r)=2.39脳105miles.

And 1 revolution takes 27.3 days.

02

Calculate the linear speed.

We have to find how many miles the moon needs to go to make a whole circle, that means the perimeter of the circle.

Circumference=2蟺谤=2脳3.14脳2.39脳105=1500920miles

Thus, the moon travels 1500920 miles, and given that makes a revolution in 27.3 days.

Since Linearspeed=Distancetime

27.3days=27.3脳24=655.2hours

Therefore, the linear speed is computed as,

Linearspeed=1500920655.2Linearspeed=2290.781milesperhour

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