What should be the angular speed of earth so that body lying on equator may appear weightlessness
(g=10m/s , R=6400 km)
1) 1/800 rad/s
2) 1/400 rad/s
3) 1/600 rad/s
4) 1/100 rad/s

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Solution

Equating centrifugal force to weight
mv²/r = mg
v²/r = g
v=(gr)^0.5 = 8000 m/s = rw
w= 8000/6400000 = 1/800 rad/sec

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What should be the angular speed of earth so that body lying on equator may appear weightlessness(g=10m/s , R=6400 km)1) 1/800 rad/s2) 1/400 rad/s3) 1/600 rad/s4) 1/100 rad/s

Equating centrifugal force to weight mv2/r = mg v2/r = g v=(gr)0.5 = 8000 m/s = rw w= 8000/6400000 = 1/800 rad/sec

What should be the angular speed of earth so that body lying on equator may appear weightlessness
(g=10m/s , R=6400 km)
1) 1/800 rad/s
2) 1/400 rad/s
3) 1/600 rad/s
4) 1/100 rad/s

Equating centrifugal force to weight
mv²/r = mg
v²/r = g
v=(gr)^0.5 = 8000 m/s = rw
w= 8000/6400000 = 1/800 rad/sec