Distance between earth and moon r = 3.85 x10 8 m
Mass of earth M = 5.98x10 24 kg
Required period T = 2[r 3/GM]
Where G = Gravitational constant = 6.67x10 -11 Nm 2/kg 2
Substitute values you get,
T = 2(3.1415) [(3.85 x10 8) 3 /(6.67x10 -11)(5.98x10 24)]
= 6.283 [1.43x10 11]
= 6.283 (378.248x10 3)
= 2.376x10 6 s
= [(2.376x10 6) /3600 ] hr Since 1 hr = 3600 s
= 660.168 hrs
= (660.168/24) days Since 1 day = 24 hrs
= 27.5 days
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