Rotational Motion Calculators: Torque, Inertia and Angular Speed

This collection of rotational motion calculators helps you solve problems involving spinning and rotating objects in physics. Whether you are working on homework, lab reports, or engineering estimates, these tools quickly compute the key quantities of circular motion and rotation.

Calculate Torque, Moment of Inertia, and Angular Acceleration for rotating bodies.
Find Angular Velocity, Angular Momentum, and Rotational Kinetic Energy.
Analyze circular motion with the Centripetal Force and Banked Curve calculators.

Each calculator shows the formula used, so you can check your work step by step. They are ideal for high school and university physics students, teachers preparing examples, and engineers estimating the dynamics of wheels, flywheels, and rotating machinery.

Torque

Calculate torque, force, or lever arm length using τ = r · F · sin(θ). Enter any two quantities plus the angle, and get the result in N·m, lb·ft, or kgf·m.

Rotational Kinetic Energy

Calculate the rotational kinetic energy of a spinning object or flywheel from its moment of inertia and angular velocity, or from the mass and radius of a solid disk. Optionally add translational kinetic energy for rolling objects.

Moment of Inertia

Calculate the mass moment of inertia for rods, disks, hoops, spheres, plates and point masses. Pick a shape and axis, enter mass and dimensions, and get I in kg·m² plus the radius of gyration.

Banked Curve

Calculate the ideal speed for a banked curve from its radius and banking angle, plus the maximum and minimum safe speeds when tyre friction is included. Enter radius, angle and friction coefficient to get results in km/h, mph and m/s.

Angular Acceleration

Calculate angular acceleration (α) from the change in angular velocity over time, or from torque and moment of inertia. Enter your values in any unit and get the result in rad/s², rpm/s and more.

Centripetal Force

Calculate centripetal force, mass, velocity, or radius for an object in circular motion. Enter the known values, choose the variable to solve for, and get an instant result in SI units.

Angular Momentum

Calculate angular momentum L from moment of inertia and angular velocity, or from point-mass data (mass, velocity, radius). Enter your values in any unit and get L in kg·m²/s (J·s).

Angular Velocity

Compute angular velocity from angular displacement and time or from linear speed and radius. Enter your values and get results in rad/s, rpm, degrees per second, period and frequency.