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

2.07 km/s

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3.07 km/s

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4.21 km/s

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1.28 km/s

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Solution

The correct option is B
3.07 km/s

Speed $= \frac{C i r c u m f e r e n c e o f o r b i t}{T i m e p e r i o d}$

$= \frac{2 π R}{T}$

$= \frac{2 \times π \times 42250}{24 \times 3600} k m s^{- 1}$
$[∵ 1 h r = 60 \times 60 = 3600 s]$

$= 3.07 k m s^{- 1}$

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Calculate it's speed if takes 24 hours to revolve around the earth

An artificial satellite is moving in a circular orbit of radius 42250 km calculate it's speed if it takes 24 hrs to revolve around the earth

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

The correct option is B 3.07 km/s Speed =Circumference of orbitTime period =2πRT =2×π×4225024×3600kms−1 [∵1hr=60×60=3600 s] =3.07kms−1

The correct option is B
3.07 km/s

Speed $= \frac{C i r c u m f e r e n c e o f o r b i t}{T i m e p e r i o d}$

$= \frac{2 π R}{T}$

$= \frac{2 \times π \times 42250}{24 \times 3600} k m s^{- 1}$
$[∵ 1 h r = 60 \times 60 = 3600 s]$

$= 3.07 k m s^{- 1}$