An artificial satellite is moving in a circular orbit of radius nearly 42.250 ,km . Calculate its li

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7. MOTION

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An artificial satellite is moving in a circular orbit of radius nearly $42.250 \,km .$ Calculate its linear velocity, if it takes $24$ hour to revolve round the earth.

Option A

Option B

Option C

Option D

Solution

Given $r=42.250 km , T =24$ hours $=86400 s$

The linear velocity is given by the expression

$v=\frac{2 \pi r}{ T }=\frac{2 \times 3.14 \times 42250}{86400}=3.07 \approx 3.1 km s ^{-1}$

Standard 9

Science

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