Answer to Question #141542 in Mechanics | Relativity for Tary

Question

An object of mass 4kg moves round a circle of radius 6m with a constant speed of 12m/s. Calculate (i) the angular speed (ii) the force towards the center.

Answer 1

Answer

Angular speed

$\omega =\frac{v}{r}\\=\frac{12}{6}\\=2rad/s$

Force towards center

$F=\frac{mv^2}{r}\\F=\frac{4\times12^2}{6}\\F=96N$