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 rads^-1
- A. 4 rads^-1
- B. 5 rads^-1
- C. 1.6 rads^-1
- D. 2.8 rads^-1
Explanation
The given data is; Speed, v = 2m/s Radius, r = 0.4m Angular speed, w, is required. The relation between linear and angular velocities is given by; v = r w Or w = v/r w = 2ms^-1 / 0.4 m w = 5 rad/s
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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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