All Problems

Kinematics

Problem 1.43

A particle \(A\) moves along a circle of radius \(R=50 \mathrm{~cm}\) so that its radius vector relative to the point \(O\) (Fig. 1.5 ) rotates with the constant angular velocity \(\omega=0.40 \mathrm{rad} / \mathrm{s} .\) Find the modulus of the velocity of the particle, and the modulus and direction of its total acceleration.

Reveal Answer
v=2Rω=0.40 m/s,w=4Rω2=0.32 m/s2v=2 R \omega=0.40 \mathrm{~m} / \mathrm{s}, w=4 R \omega^{2}=0.32 \mathrm{~m} / \mathrm{s}^{2}