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

Question

A particle moves along a circle of radius R = 1 m so that its radius vector vecr relative to a point on its circumference rotates with the constant angular velocity ω=2 rad/s. The linear speed of the particle is (A) 4 m/s (B) 2 m/s (C) 1 m/s (D) 0.5 m/s

Tardigrade Admin · Accepted Answer

Angular velocity about center = 2 (angular velocity about any point on its circumference) or ω=2 (2) rad/s or ω=2 rad/s now v = r ω = (1) (4) = 4 m/s

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 $ω = 2 r a d / s$ . The linear speed of the particle is

4 m/s

2 m/s

1 m/s

0.5 m/s

Angular velocity about center $= 2$ (angular velocity about any point on its circumference)

or $ω = 2 (2)$ rad/s

or $ω = 2$ rad/s

now $v = r ω = (1) (4) = 4 m / s$

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