Question

A satellite is revolving round the earth in a
circular orbit at a distance of 104 km. What
distance will it cover in revolving through 60°?
Find the angle between the minute & hour hand​

Answer 1

Answer:

Step-by-step explanation:

ANSWER

Let ω be the actual angular velocity of the satellite from east to west and ω  

e

​  

 be the angular speed of the easth(west to east).

Then ω  

relative

​  

=ω−(−ω  

e

​  

)=ω+ω  

e

​  

 

⇒ω=ω  

rel

​  

−ω  

e

​  

 

By the dynamics of circular motion

R  

2

 

GMm

​  

=mω  

2

R

or ω  

2

=  

R  

3

 

gR  

2

 

​  

          (∵GM=gR  

e

3

​  

)

⇒ω=  

R  

3

 

gR  

e

3

​  

 

​  

 

​  

 

∴ω  

rel

​  

=  

R  

3

 

gR  

e

3

​  

 

​  

 

​  

+ω  

e

​  

 

⇒ω  

rel

​  

=  

2  

3

×10  

21

 

10×6.4  

2

×10  

12

 

​  

 

​  

+7.27×10  

−5

 

(∵ω  

e

​  

=  

86400

2π

​  

=7.27×10  

−5

)

⇒ω  

rel

​  

=22.6×10  

−5

+7.27×10  

−5

=30×10  

−5

rads  

−1

 

∴Γ=  

ω  

rel

​  

 

2π

​  

=  

30×10  

−5

 

2π

​  

=2.09×10  

4

s=5h48min