Angular speed of rotation of earth is  ${\omega }_0$. A train is running along the equator at a speed “v” from west to east. A very sensitive balance inside the train shows the weight of the object has  $W_1$. During the return journey when the train is running at same speed from east to west the balance shows the weight of the object to be  $W_2$. Weight of the object shown by the balance at the poles is   $W_0$. The value of  $|W_2-W_1|$  was found out to be  $\frac{p{W}_0{\omega }_{0}v}{g}$  (‘g’ is the acceleration due to gravity on the surface of the earth at poles. Assume earth is like a solid sphere). Find the value of ‘p’