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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. |
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Answer» The speed of an object moving in a circular orbit (or circular path) is given by the formula : `" "v= (2pir)/(t)` Here, `" "` Speed, `v` = ? `" "` (To be calculated) `" ""Pi",pi=(22)/(7)" "` (It is constant) `" "` Radius, r = 42250 km And, `" "` Time, `t` = 24 h Now, putting these values in the above formula, we get : `" "` Speed, `v = (2xx22xx42250)/(7xx24)` `" "v= 11065.4" km "h^(-1)` We can convert this speed from kilometres per hour to kilometres per second by dividing it by the number of seconds in 1 hour (which is 60 `xx` 60 s). Thus : `" "v= (11065.4)/(60xx60)"km "s^(-1)` `" "v= 3.07" km"s^(-1)` |
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