College Physics Problem 2.10

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 approximately 4 cm/year. Assuming this to be a constant rate, how many years will pass before the radius of the Moon’s orbit increases by 3.84\times 10^{6}(1%)?


\Delta t=\frac{3.84\times 10^6\:m}{4\:\frac{cm}{yr}}\times \frac{100\:cm}{1\:m}

\Delta t=96000000 years

\Delta t=9.60\times 10^7\:years

It will take about 960 million years.

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