Kinetic Energy Calculator

Kinetic Energy Calculator

Select your desired parameter and enter the values. The tool will instantly calculate the kinetic energy (linear or rotational) due to the motion of a given mass, along with other related values.

Linear

Rotational

To Calculate:

Mass Kinetic Energy Time

Kinetic Energy:

kg ▾

Time:

miles/s ▾

The kinetic energy calculator with solution computes the kinetic energy possessed by an object due to its motion.

Kinetic Energy (KE):

“Kinetic energy is the energy possessed by an object due to its motion.”

It can be defined as the work required to accelerate a body of a given mass from rest to a specific velocity.

Kinetic Energy Formula:

The kinetic energy formula relates the mass of an object to its velocity:

$$KE = \frac{1}{2}mv^2$$

Where:

m = Mass of the object (in kilograms)
v = Velocity of the object (in meters per second)

The Kinetic Energy Calculator uses this formula to calculate KE, meaning kinetic energy equals one-half of the mass multiplied by the square of the velocity.

Find Mass (m) Given KE and Velocity (v):

To calculate m when KE and velocity are known:
Use the formula: Mass = 2 × KE ÷ v²
Kinetic and potential energy are interconvertible depending on the system.

$$m = \frac{2KE}{v^2}$$

Find Velocity (v) Given KE and Mass (m):

To calculate v when KE and mass are known:
Use the formula: Velocity = √(2 × KE ÷ m)
The object’s velocity depends on its kinetic energy at that moment.

$$v = \sqrt{\frac{2KE}{m}}$$

How to Calculate Rotational Kinetic Energy?

Rotational kinetic energy accounts for objects rotating about an axis. The formula is:

KE_rotational = 1/2 I ω²

Enter the Moment of Inertia (I) and Angular Velocity (ω) into a rotational kinetic energy calculator to determine the energy of rotating objects.

Example:

Find the kinetic energy of an object with a mass of 23 kg moving at a velocity of 23 m/s.

Given:

Mass (m) = 23 kg
Velocity (v) = 23 m/s
Kinetic Energy = ?

Solution:

K.E = 1/2 × m × v²

K.E = 1/2 × 23 × 23²

K.E = 1/2 × 23 × 529

K.E = 6083.5 Joules

References:

From Wikipedia: The kinetic energy (KE) – History and Overview.
From WikiHow: How to Calculate Kinetic Energy – Recently updated, co-authored by wikiHow Staff.