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Tidal friction is slowing the rotation of the Earth. As a result, the orbit of the Moon is increasing in radius at a rate of approximately4 c³¾/²â±ð²¹°ù. Assuming this to be a constant rate, how many years will pass before the radius of the Moon’s orbit increases by3.84×106 m(1%) ?

Short Answer

Expert verified

9.6×107 y

Step by step solution

01

Given Data

  • Speed=4 c³¾/²â=0.04″¾/²â
  • Total radius = 3.84×106 m
02

Time is taken to increase the 1% radius of the moon

Speed can be calculated as the distance that is traveled by an object in a time period.

Speed =DistanceTime

It is a scalar quantity.

The time taken can be calculated as:

Time=DistanceSpeed

Substituting the values in the above expression, we get:

T=3.84×106″¾0.04″¾/²â=96,000,000 y

Hence,9.6×107 y is needed to increase the radius of the moon by 1%.

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