The moon revolves around the earth once every 27.3 days. Calculate the angular velocity of the moon.
albs TIS ..
a. 2.0 x 10-5 rad/s
elbst Ad
b. 4.2 x 10-6 rad/s
albs7 TE
c. 3.3 x 10-5 rad/s
albs Tab
d. 2.7 x 10-6 rad/s
diboley sitranslatai JSW.01
n of tho moon

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:

the average speed is 24.57 km/hr