A ventilation fan with a moment of inertia of 0.034 kg·m2 has a net torque of 0.14 N·m applied to it. What angular acceleration does it experience?Select one:a.0.31 rad/s2b.4.1 rad/s2c.3.2 rad/s2d.5.3 rad/s2
Question
A ventilation fan with a moment of inertia of 0.034 kg·m2 has a net torque of 0.14 N·m applied to it. What angular acceleration does it experience?Select one:a.0.31 rad/s2b.4.1 rad/s2c.3.2 rad/s2d.5.3 rad/s2
Solution
The angular acceleration can be found using the formula for Newton's second law for rotation, which is:
Torque = Moment of Inertia * Angular Acceleration
Rearranging the formula to solve for angular acceleration gives:
Angular Acceleration = Torque / Moment of Inertia
Substituting the given values into the formula gives:
Angular Acceleration = 0.14 N·m / 0.034 kg·m2 = 4.1 rad/s2
So, the correct answer is b. 4.1 rad/s2.
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