An artificial satellite is moving in a circular orbit of radius 42250, km . Calculate its speed (in

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7. MOTION

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An artificial satellite is moving in a circular orbit of radius $42250\, km$. Calculate its speed (in $m s ^{-1}$) if it takes $24 $ hours to revolve around the earth.

A

$1026$

B

$3074$

C

$2096$

D

$4064$

Solution

Radius of the circular orbit, $r =42250\, km$

Time taken to revolve around the earth, $t =24 \,h$

Speed of a circular moving object, $v =(2 \pi r ) / t$

$=[2 \times(22 / 7) \times 42250 \times 1000] /(24 \times 60 \times 60)$

$=(2 \times 22 \times 42250 \times 1000) \,/\,(7 \times 24 \times 60 \times 60) \,m s ^{-1}$

$=3073.74\,m s ^{-1}$

Standard 9

Science

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