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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionMedium2 minPYQ_2022

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A geostationary satellite is revolving around the earth. If radius of the earth is ' $R$ ' and the angular speed about its own axis is ' $ω$ ' then the radius of the orbit of the geostationary satellite is ( $g =$ acceleration due to gravity)

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Answer:

Solution:

Considering force balance: Centrifugal force $=$ Gravitation force, $∴ m ω^{2} r = \frac{GM m}{r ^{2}} \Rightarrow r = {\frac{GM}{ω ^{2}}}^{1/3}$ We know, $g = \frac{GM}{R ^{2}}$ $\Rightarrow r = (\frac{R ^{2} g}{ω ^{2}})^{1/3}$

Stream:MHT_CETSubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2022

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