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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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11065.48 km / h

11165.48 km / h

11265.48 km / h

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 = 2 πr

(circumference of the orbit)

\Rightarrow d = 2 \times \frac{22}{7} \times 42250

\Rightarrow d = 265571.43 km

It is known that the speed is the rate of change of ditance of the object. Mathematically,

speed of satellite = \frac{Distance}{Time}

On substituting the given values, we get the speed as

\Rightarrow speed of satellite = \frac{265571.43}{24}

\Rightarrow speed of satellite = 11065.48 km / h

Hence the speed of the satellite is

11065.48 km / h

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