Question

Find the angular velocity of a satellite which revolves in a circular orbit of radius 35000 km and completes one round in 12 hours​

Answer 1

Given Conditions ⇒

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.

Hope it helps.

Answer 2

Answer:

Angular velocity ( W ) :

the rate of change of angular position of a rotating body

W = angular distance / Timer period

angular distance = R× angle converd = 3500×10^3 × 2π

W = 3500 × 10^3 × 2π / 12 × 60 ×60

= 508.79 radian / sec