THE PRACTICE STUDIO
Go slowly. Ask why. Make it yours.
PRACTICE / Rotational dynamics
A torque starts a flywheel
A flywheel with moment of inertia 0.80 kg·m² experiences a net torque of 4 N·m.
Find its angular acceleration.
Organize the givens & assumptions
- I = 0.80 kg·m²
- τ = 4 N·m
Rigid flywheel about a fixed principal axis; stated torque is net torque; moment of inertia constant.
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Problem: A torque starts a flywheel
A flywheel with moment of inertia 0.80 kg·m² experiences a net torque of 4 N·m.
Question: Find its angular acceleration.
Givens:
- I = 0.80 kg·m²
- τ = 4 N·m
Assumptions: Rigid flywheel about a fixed principal axis; stated torque is net torque; moment of inertia constant.
Choices (LaTeX):
A. 0.2\ \mathrm{rad\,s^{-2}}
B. 4\ \mathrm{rad\,s^{-2}}
C. 5\ \mathrm{rad\,s^{-2}}
D. 3.2\ \mathrm{rad\,s^{-2}}
Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.
Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.Start with the smallest hint.
Work through it with me.
One decision at a time. Pause, predict, then unpack the algebra.
Divide the net torque by the inertia about the same axis.
Choose a physical relation
Net torque changes angular velocity, with moment of inertia measuring resistance to angular acceleration.
Isolate what is asked
Divide the net torque by the inertia about the same axis.
Why is this step valid?
Divide N·m by kg·m² to get inverse seconds squared, conventionally rad/s².
Substitute and interpret
Angular acceleration is 5 rad/s²; angular velocity would require an initial value and elapsed time.
The inferred angular acceleration requires exactly the applied net torque.
TRY THE IDEA AGAIN
If net torque vanishes while it is already spinning, must the flywheel stop?
YOUR LEARNING NOTE
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