The shaft of a motor rotates at a constant angular speed of 360rev/min. Angle turned through in 1 sec in radian is________________?
Correct answer: D. 12π
- A. π
- B. 3π
- C. 6π
- D. 12π
Explanation
A rate of 360 revolutions per minute is 360/60 = 6 revolutions per second. In 1 second, the angle turned is 6 × 2π = 12π rad, so option d follows. Students may choose 6π rad by using π rad for each revolution instead of the correct 2π rad.
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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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