A wheel rotating at 300 revolutions per minute has an angular speed of about
Correct answer: B. 31.4 radians per second
- A. 5 radians per second
- B. 31.4 radians per second
- C. 300 radians per second
- D. 1885 radians per second
Explanation
300 revolutions per minute is 5 revolutions per second, and each revolution is 2 pi radians, so omega is 5 times 2 pi, which is 31.4 radians per second. Forgetting to convert revolutions into radians leaves the answer as 5, the commonest error here. The value 1885 comes from using minutes rather than seconds.
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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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