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Q.

An artificial satellite is moving in a circular orbit of radius 42250 km. What is its speed, if it takes 24 h to revolve around the earth?


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a

11065.48 km/h

b

11165.48 km/h

c

11265.48 km/h

d

11365.48 km/h 

answer is A.

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Detailed Solution

It speed is 11065.48 km/h.
Given: radius of the orbit, y=42250 km, time taken t=24 h.
Since the orbit is circular, the total distance travelled is equal to the circumference of the orbit.
Therefore, distance covered in one revolution, d=2πr(circumference of the orbit)
 d=2×227×42250
d=265571.43 km
It is known that the speed is the rate of change of ditance of the object. Mathematically,
speed of satellite=DistanceTime 
On substituting the given values, we get the speed as
speed of satellite= 265571.4324
speed of satellite=11065.48 km/h
Hence the speed of the satellite is 11065.48 km/h
 
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