Answer to Question #161847 in Classical Mechanics for Rashinda

Question

An object of mass 4kg moves round a circle of radius 6m with a constant speed of 12m/s. Calculate

(1) the angular velocity and the force towards the center

Answer 1

$\omega=\frac vr,~$ $\omega=\frac{12}{6}=2~\frac{\text{rad}}{\text{s}}.$

$F=m\omega^2 r,~$ $F=4\cdot2^2\cdot 6=96~\text{N}.$