Question

Calculate the orbital velocity of artificial satellite, required moving around the Earth if radius of Earth is
6x106m and the value of centripetal acceleration is 10 m/s2​

Answer 1

Answer:

Orbital velocity, v=

g

′

r

where r is the radius of the orbit and g

′

is the acceleration due to gravity in that orbit.

Thus, ν=

gR

Where R is the radius of Earth

As g

′

=g[1+

R

h

]

−2

Now, at h=R/2⟹g

′

=g[

3

2

]

2

Thus ν

′

=

g[

3

2

]

2

2

3R

⟹ν

′

=ν

3

2