Key relationship
τ = Iα; ω = ω₀+αt; θ = ω₀t+½αt².
Physics · Class 11
Accelerate a rotating wheel
A constant net torque gives constant angular acceleration for a body with fixed inertia. The rotational equations mirror constant-acceleration linear motion, with torque replacing force and inertia replacing mass.
Open the interactive experiment →Accelerate a rotating wheel
நிலைமத் திருப்புத்திறன் மாறாதபோது நிலையான திருப்புவிசை நிலையான கோண முடுக்கத்தை உருவாக்கும்.
Key notes, relationships and model limits
Remember
A constant net torque gives constant angular acceleration for a body with fixed inertia. The rotational equations mirror constant-acceleration linear motion, with torque replacing force and inertia replacing mass.
Common trap
The linear acceleration of a rim point also includes centripetal acceleration.
Model limits
Fixed rotation axis and constant inertia; constant net torque. Angular variables are in radians, with positive and negative rotation allowed.
What you will learn
Use rotational equations and relate torque to angular acceleration.
Try the experiment
Try both scenarios, change one control, and predict the result before checking the graph and readouts.
Think of it this way
Change one input while keeping the others fixed, as you would in a controlled experiment.
Worked example
With ω₀=1 rad/s, after 3 s the wheel has ω=7 rad/s and θ=1×3+½×2×9=12 rad.
Why this matters
The model connects accelerate a rotating wheel with an observable reading. Check the equation and assumptions before applying it.
Before you start
SI units · algebra · graph reading
Check your understanding
What angular acceleration comes from 4 N·m on I=2 kg·m²?
- 0.5 rad/s²
- 2 rad/s²
- 8 rad/s²
Read the explanation
α=τ/I=4/2=2 rad/s².
Course connection: Class XI Chapter 6. Consult the roadmap for CBSE, NEET, JEE Main and Advanced scope.