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Home Q & A Board Science-Related Homework Help Physics
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rjlene rjlene
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11 years ago
Compute the ratio of the magnitudes of the Earth's orbital angular momentum and its rotational angular momentum.

Are these momenta in the same direction?
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#1
11 years ago
Angular momentum L = m*r*? = m*r*2?/T

Let r1 = orbital radius = 1.50x10^11m and T1 = 365day*24*3600 = 3.154x10^7s

r2 = Earth's radius = 6.38x10^6m  and T2 = 24*3600 = 86400s

So L1/L2 = (r1/T1)/(r2/T2) = r1*T2/(r2*T1) = 1.50x10^11*86400/(6.38x10^6*3.154x10^7) =

= 64.4  They are in the same direction
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