Answer:
The centripetal acceleration is given by a=
6
v
2
This expression explicity depends on Moon's speed which i s non trivial . we can work with the formula w
2
R
m
=a
m
Since,
a
m
→ centrifugal acceleration of the moon due to earth's gravity
w→ angular velocity
R
m
=60R=60×6.4×10
6
=384×10
6
m is the distance between earth and the moon, which is 60 times the radius of the earth.
w=
T
2π
angular velocity w=
T
2π
.
and T=27.3days=27.3×24×60×60
Seconds=2.358×10
6
sec
putting these values in the formula for acceleration
a
m
=
(2.358×10
6
)
2
(4π
2
)(384×10
6
)
=
Explanation:
