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Find the angular velocity of satellite …

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Find the angular velocity of satellite which revolves in a circular orbit of radius 35000 kilometre and completes one round in 12 hour.
  • 1 answers

Yogita Ingle 4 years, 1 month ago

Radius of the circular orbit = 35,000 km.
Time taken to complete one round = 12 hours.
Angle subtended at the centre = 360° [ ∵ Earth is approx circular].
∵ 360° = 2π rad.
∴ Angle subtended at the centre = 2π

Now, Using the Formula,
Angular Velocity (ω) = Angle subtended at the centre in radians/Time taken to complete 1 round.
∴ ω = 2π/12
⇒ ω =(44/7) ÷ 12
⇒ ω = 0.524 rad/hr.
∴ Angular velocity of the satellite is 0.524 rad/hr.

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