Question

A train is traveling directly north at 110km/hr. Estimate it's angular velocity with respect to the centre of the earth. ​

Answer 1

Given that,

Velocity = 110 km/hr

We know that,

Radius of earth =6378 km

Angular velocity :

Angular velocity is equal to the linear velocity divided by the radius.

In mathematically,

$\omega=\dfrac{v}{r}$

Where, v = linear velocity

r = radius

We need to calculate the angular velocity with respect to the center of earth

Using formula of angular velocity

$\omega =\dfrac{v}{r}$

Put the value into the formula

$\omega=\dfrac{110\times\dfrac{5}{18}}{6378\times10^3}$

$\omega= 4.7\times10^{-6}\ s^{-1}$

Hence, The angular velocity with respect to the center of earth is $4.7\times10^{-6}\ s^{-1}$