Suppose the earth increases it speed of rotation. At what new time period will the weight of a body on the equator becomes zero ? (Take, g = 10 ms^(-2) and radius of earth R = 6400 km)
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The weight will become zero, when
g'=0 or g−Rω2=0 (on the equater g'=g−Rω2)
or ω=gR−−√
∴2πT=gR−−√orT=2πgR−−√
Substitution the values, T=2π6400×10310−−−−−−√3600h
or T=1.4h
Thus, the new time period should e 1.4h instead of 24h for the weight of a dody to de zero on the equater .
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Answer:
1.4h instead of 24 h
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