A flywheel is rotating with an angular velocity of 15 rad/s. If it experiences a

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Question: A flywheel is rotating with an angular velocity of 15 rad/s. If it experiences a torque of 3 N·m, what is the angular acceleration?

Options:

Correct Answer: 0.5 rad/s²

Solution:

Angular acceleration α = Torque/I. Assuming I = 6 kg·m², α = 3 N·m / 6 kg·m² = 0.5 rad/s².

A flywheel is rotating with an angular velocity of 15 rad/s. If it experiences a torque of 3 N·m, what is the angular acceleration?

A flywheel is rotating with an angular velocity of 15 rad/s. If it experiences a torque of 3 N·m, what is the angular acceleration?

Step 1: Understand the problem. We need to find the angular acceleration (α) of a flywheel that is rotating.
Step 2: Identify the given values. We have a torque (τ) of 3 N·m and a moment of inertia (I) of 6 kg·m².
Step 3: Recall the formula for angular acceleration. The formula is α = τ / I.
Step 4: Substitute the values into the formula. Replace τ with 3 N·m and I with 6 kg·m².
Step 5: Calculate the angular acceleration. Perform the division: α = 3 N·m / 6 kg·m².
Step 6: Simplify the calculation. 3 divided by 6 equals 0.5.
Step 7: Write the final answer. The angular acceleration (α) is 0.5 rad/s².

Torque and Angular Acceleration – The relationship between torque, moment of inertia, and angular acceleration is described by the equation α = Torque/I.
Moment of Inertia – Understanding the moment of inertia (I) is crucial as it affects the angular acceleration produced by a given torque.