A body of mass 20 kg is placed at a latitude of 45° on earth of radius R and angular speed ω. The change in weight of the body (if earth stops…

A body of mass $\displaystyle 20$ kg is placed at a latitude of $\displaystyle 45$° on earth of radius $\displaystyle R$ and angular speed $\displaystyle \omega$. The change in weight of the body (if earth stops rotating) is $\displaystyle x R \omega^2$. The value of $\displaystyle x$ is \_\_\_\_.