All Problems

Kinematics

Problem 1.43

A particle AA moves along a circle of radius R=50 cmR=50 \mathrm{~cm} so that its radius vector relative to the point OO (Fig. 1.5 ) rotates with the constant angular velocity ω=0.40rad/s.\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}