Energy, Rotation & Gravity

Work, energy, power, torque, circular motion, gravity and springs.

• Angular Acceleration Calculator Angular acceleration from a change in rotation rate, with the turns made and the torque needed.
• Angular Velocity and Circular Period Calculator Angular velocity in rad/s from rpm, an angle and time, a period or a speed, with the period and edge speed.
• Centripetal Force and Acceleration Calculator Centripetal acceleration and force for circular motion, from speed or period, with the period and rpm.
• Efficiency Calculator Efficiency as a percentage from useful output and total input, of energy or power.
• Escape Velocity Calculator The speed needed to escape a planet’s gravity from its surface or from any altitude.
• Gravitational Force Calculator Newton’s law of gravitation: the attraction between two masses at a given distance.
• Hooke’s Law and Spring Constant Calculator Find spring force, spring constant or extension from the other two.
• Kinetic Energy Calculator Find kinetic energy, mass or speed from the other two.
• Mechanical Energy Calculator Total kinetic and potential energy, and the speed at another height if no energy is lost.
• Moment of Inertia Calculator Moment of inertia of common shapes, with an optional shift of the axis.
• Orbital Velocity and Period Calculator The speed and period of a circular orbit at any altitude around a planet, the Moon or the Sun.
• Potential Energy Calculator Gravitational potential energy: find energy, mass or height from the other two.
• Power Calculator (Work and Force × Speed) Mechanical power from work done over a time, or a force moving at a speed, in watts and horsepower.
• Rotational Kinetic Energy Calculator The energy of a spinning object, with the total if it is also moving along.
• Simple Harmonic Motion Calculator Position, velocity and acceleration at any time, from amplitude and frequency or a mass on a spring.
• Simple Pendulum Calculator Pendulum period from length, or the length for a given period, with the correction for wide swings.
• Spring Potential Energy Calculator Energy stored in a spring: find energy, spring constant or compression, and the launch speed of a mass.
• Torque Calculator (Force × Lever Arm) Torque from a force, the length of the lever and the angle between them.
• Work Calculator (Force × Distance) The work done by a force over a distance, at any angle to the motion.