If the moon is travelling at at a speed of V ms^-1 at a distance r from the centre of the earth, give an equation for its periodic time in terms of pi, r and v?

1 Answer
Jan 8, 2018

The periodic time is #=((2pir)/v)s#

Explanation:

The speed of the moon is #=vms^-1#

The period of the moon is #=Ts#

The distance from the center of the earth is #=rm#

The angular velocity is

#omega=v/r rads^_1#

The period is

#T=(2pi)/omega=(2pi)/(v/r)=(2pir)/vs#