A flywheel gains a speed of 540 rpm in 6 seconds. Its angular acceleration is:
Correct answer: A. 3π rads2
- A. 3π rads2
- B. 6π rads-2
- C. 9π rads2
- D. 12π rads2
Explanation
The angular acceleration of the flywheel is calculated by converting the given angular velocity from rpm to radians/second and then using the formula: Angular acceleration (α) = (Change in angular velocity) / (Change in time). The correct calculation results in an angular acceleration of 3π radians/second², making Option A the correct answer. The other options are incorrect as they do not correctly calculate the angular acceleration.α = Δω / Δt = (540 * 2π) / (60 * 6) = (540 * 2π) / 360 = 3π rad/s²
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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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