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
ω=vr, \omega=\frac vr,~ω=rv, ω=126=2 rads.\omega=\frac{12}{6}=2~\frac{\text{rad}}{\text{s}}.ω=612=2 srad.
F=mω2r, F=m\omega^2 r,~F=mω2r, F=4⋅22⋅6=96 N.F=4\cdot2^2\cdot 6=96~\text{N}.F=4⋅22⋅6=96 N.
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