Question

If the angular speed of the earth is 7.26 x 10^–5 rad/s and radius of the earth is 6,400 km,
calculate the change in weight of 1 kg of mass taken from equator to pole.

Answer 1

Given: R = 6.4 x 10⁶ m, ω = 7.26 x 10^–5 rad/s
To find: Change in weight (ΔW)

formulae:

`Deltag=g_p-g_(eq)=Romega^2`

`Delta W=mDeltag`

Calculation: From formula (i) and (ii),
ΔW = m(Rω²)

=`1xx6.4xx10^6xx(7.26xx10^-5)^2`

=`3373xx10^-5 N`