An artificial satellite is moving in a circul | vedclass

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Question

(A) Given:Radius $r = 42,250 \, km = 42,250,000 \, m$Time period $T = 24 \, 	ext{hours} = 24 	imes 60 	imes 60 \, s = 86,400 \, s$The linear veloci

Vedclass · Accepted Answer

$3.07$

Vedclass · Answer

(A) Given:Radius $r = 42,250 \, km = 42,250,000 \, m$Time period $T = 24 \, 	ext{hours} = 24 	imes 60 	imes 60 \, s = 86,400 \, s$The linear velocity $v$ of an object moving in a circular path is given by the formula:$v = \frac{2 \pi r}{T}$Substituting the values:$v = \frac{2 	imes 3.14159 	imes 42,250 \, km}{86,400 \, s}$$v \approx \frac{265,464}{86,400} \, km/s$$v \approx 3.07 \, km/s$Thus, the linear velocity of the satellite is approximately $3.07 \, km/s$.

An artificial satellite is moving in a circular orbit of radius nearly $42,250 \, km$. Calculate its linear velocity, if it takes $24 \, \text{hours}$ to revolve around the Earth. (in $ km/s$)

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