For a geostationary satellite the angular speed in units of radians per hour is:

  1. π/12
  2. π/6
  3. π/2
  4. π

Answer (Detailed Solution Below)

Option 1 : π/12
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Detailed Solution

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The correct answer is option 1) i.e. π/12.

CONCEPT:

  • A geostationary satellite is an earth-orbiting satellite that revolves around the earth at the same time as the earth rotates along its axis.
    • Due to the same time of the revolution, it appears stationary from the Earth, and hence it is called geostationary. 
    •  The geostationary satellite is placed at about 35,800 km from the equator of Earth.

CALCULATION:

Time is taken by Earth to rotate = Time taken by geostationary satellite to revolve = 24 hours.

One revolution = 360∘ 

Angular speed\(\frac{angular\: distance}{time \: taken} \)

\(= \frac{360^{\circ}}{24} = \frac{2π}{24} = \frac{π}{12}\) rad/hr (∵ 360 = 2π radians)

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