The shaft of a motor rotates at a constant angular speed of 360rev/min. Angle turned through in 1 sec in radian is which of the following?
Correct answer: D. 12π
- A. π
- B. 3π
- C. 6π
- D. 12π
Explanation
One revolution is equal to 2π radians. Therefore, the angle turned through 1 second is:360 revolutions/minute x 2π radians/revolution x 1 minute/60 seconds = 12π radians/secondSo the correct option is 12π.
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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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