If a car moves with a uniform speed of 2 ms-1 in a circle of radius 0.4. Its angular speed is______________?
Correct answer: B. 5 rad. S-1
- A. 4 rad. S-1
- B. 5 rad. S-1
- C. 1.6 rad. S-1
- D. 2.8 ms-1
Explanation
Linear speed and angular speed are related by v = rω. Hence, ω = v/r = 2 m/s ÷ 0.4 m = 5 rad/s. The likely mistake is choosing 4 rad/s by multiplying 2 m/s by 0.4 m instead of dividing by the radius.
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About Angular Velocity
Angular velocity describes how quickly angular displacement changes with time, with ω = Δθ/Δt and units of radians per second. Questions relate angular and linear motion through v = rω, use the direction given by the right hand rule, and distinguish angular velocity from angular acceleration and ordinary frequency.
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