Q.

A particle moves along a circle of radius R = 1 m so that its radius vector r relative to a point on its circumference rotates with the constant angular velocity ω = 2 rad/s. The linear speed of the particle is

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a

4 m/s

b

2 m/s

c

1 m/s

d

0.5 m/s

answer is A.

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Detailed Solution

Angular velocity about center = 2 (angular velocity about any point on its circumference)or      ω = 2(2) rad/sor ω = 4 rad/snow v = rω = (1) (4) = 4 m/s
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A particle moves along a circle of radius R = 1 m so that its radius vector r relative to a point on its circumference rotates with the constant angular velocity ω = 2 rad/s. The linear speed of the particle is