Circular MotionHardBloom L3

Question

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

Options

A.v= 0.4 m/s, a = 0.4 m/s2
B.

v = 0.32 m/s, a = 0.32 m/s2


C.v = 0.32 m/s, a = 0.4 m/s2
D.v = 0.4 m/s, a = 0.32 m/s2

Solution

Sol. About centre of circle :

ωC = 2ω = 0.8 rad/sec

v = ωC·R = 0.4 m/s

aC = ωC2R = 0.32 m/sec

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