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Q.

If an artificial satellite moves in a circular orbit of radius 42250 km, calculate the speed if it takes 24 hours to complete one revolution.


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a

2.36 km /s

b

5.32 km /s

c

3.07 km /s

d

11065.4 km /s 

answer is C.

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Detailed Solution

The speed will be 3.07 km /s.
Given:
We know that the speed of the object moving in the circular orbit is given by the formula,
v=2πrt
Now using the given credentials, we have
π=227
Radius r = 42250 km
Time t = 24 h
speed =2×22×422507×24
Therefore v = 11065.4 km/h
Since we need the answers in seconds
v=11065.460×60
v= 3.07 km/s
 
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