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An artificial satellite is moving in a circular orbit of radiu... - Science
Question
An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its speed if it takes 24 hours to revolve around the earth.
Answer
Given:
Radius of orbit (r) = 42250 \text{ km}
Time taken (t) = 24 \text{ hours}= 24 \times 60 \times 60 = 86400 \text{ s}
Formula:
Speed (v) = \frac{2\pi r}{t}
Calculation:
v = \frac{2 \times 3.14 \times 42250}{86400}v = \frac{265330}{86400}v = 3.07 \text{ km/s}
Answer: The speed of the satellite is 3.07 \text{ km/s}.