Question

The angular velocity of the earth about its polar axis so that the weight of the body at the equator will be zero

Answer 1

gravitational acceleration at equator = g - Rω²

given g at equator is zero

0 = g - Rω²

Rω² = g

ω² = g ÷ R

ω = √g ÷ R

ω =1.25 × 10³ rad/sec