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.

Vedclass pdf generator app on play store
Vedclass iOS app on app store

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

The linear velocity is given by the expression

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

Similar Questions

What type of motion is represented by the following graphs ?

From the given $v -t$ graph (Fig.), it can be inferred that the object is

If the acceleration of the particle is constant in magnitude but not in direction, what type of path does the particle follow ?

A train is travelling at a speed of $90\, km h ^{-1}$. Breaks are applied so as to produce a uniform acceleration of $0.5\, m s ^{-2}$. Find how far the train will go before it is brought to rest.

How can you find the following ?

$(i)$ Velocity from a displacement$-$time graph.

$(ii)$ Acceleration from velocity$-$time graph.

$(iii)$ Displacement from velocity$-$time graph.

$(iv)$ Velocity from acceleration$-$time graph.