Suppose that the rotation of the earth was increased such that the centripetal acceleration was equal to the gravitational acceleration at the equator (i) Find the speed of a person standing at the equator and (ii) How long would a day be ?

Suppose that the rotation of the earth was increased such that the cen

1.	Suppose that the rotation of the earth was increased such that the centripetal acceleration was equal to the gravitational acceleration at the equator (i) Find the speed of a person standing at the equator and (ii) How long would a day be ?
Answer» Solution :`v^(2)//r =G, v= sqrt(rg) = sqrt(6400 xx 10^(3) xx 9.8) = 7.9 km//s, T = 2pir//v = 2PI xx 6400 xx 10^(3)//7.9 xx 10^(3) = 5070 s`