Q.

What should be the angular speed of earth, so that body lying on equator may appear weightlessness (g=10 m/s2,  R=6400 km)

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a

1800rad/s

b

1400rad/s

c

1600rad/s

d

1100rad/s

answer is A.

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Detailed Solution

g'=g−ω2Rcos2λFor weightlessness at equator  λ=0° and  g'=0∴0=g−ω2R⇒ω=gR=1800radsec
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What should be the angular speed of earth, so that body lying on equator may appear weightlessness (g=10 m/s2,  R=6400 km)