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+1 vote
7.1k views
in Physics by (51.1k points)

The rotation of the earth about its axis speeds up such that a man on the equator becomes weightless. In such a situation, what would be the duration of one day?

(a) 2πR/g

(b) 1/2πR/g

(c) 2πRg

(d) 1/2πRg

1 Answer

+1 vote
by (50.3k points)
selected by
 
Best answer

Correct Answer is: (a) 2πR/g

Let ω = angular velocity of the earth about its axis. 

mg - N = mω 2R

For N = 0,  ω2 = g/R.

T = 2π/ω = 2πR/g.

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