A particle A moves along a circle of radius R = 50 cm so that its radius vector r relative to the point O (figure) rotates with the constant angular velocity ω = 0.40 rad/s. Then modulus of the velocity of the particle, and the modulus of its total acceleration will be

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G1 Physics · Accepted Answer

The line OA is a chord subtending twice its angular rate at the centre. Thus the particle angular speed about C is 2ω=0.8 rad/s. Hence v=R(0.8)=0.4 m/s and a=R(0.8)²=0.32 m/s². Hence D.