Table of Contents

- 1 What is the ratio of rotational and translational kinetic energy?
- 2 What would be the ratio of the rotational kinetic energy and translational kinetic energy of the rolling solid cylinder?
- 3 Are translational and rotational kinetic energy the same?
- 4 What is the ratio of rotational ke to translational ke?
- 5 What is the formula of translational kinetic energy?
- 6 How much of its kinetic energy is rotational energy?
- 7 How do you calculate kinetic energy from translational kinetic energy?

## What is the ratio of rotational and translational kinetic energy?

The ratio of translational energy to rotational kinetic energy is only 0.380.

## What would be the ratio of the rotational kinetic energy and translational kinetic energy of the rolling solid cylinder?

So, the ratio is 1:2.

**How are the translational kinetic energy and rotational kinetic energy of the disc related?**

If an object is rolling without slipping, then its kinetic energy can be expressed as the sum of the translational kinetic energy of its center of mass plus the rotational kinetic energy about the center of mass.

### Are translational and rotational kinetic energy the same?

The only difference between rotational and translational kinetic energy is that translational is straight line motion while rotational is not. An example of both kinetic and translational kinetic energy is found in a bike tire while being ridden down a bike path.

### What is the ratio of rotational ke to translational ke?

0.380

The ratio of translational energy to rotational kinetic energy is only 0.380.

**How much fraction of the kinetic energy of rolling is purely translational and rotational?**

When a body is under pure rolling, the fraction of its total kinetic energy which is the purely rotational is 2/5.

#### What is the formula of translational kinetic energy?

Equations

Equation | Symbols | Meaning in words |
---|---|---|

K = 1 2 m v 2 K = \dfrac{1}{2}mv^2 K=21mv2 | K K K is translational kinetic energy, m is mass, and v is the magnitude of the velocity (or speed) | Translational kinetic energy is directly proportional to mass and the square of the magnitude of velocity. |

#### How much of its kinetic energy is rotational energy?

A rotating object also has kinetic energy. When an object is rotating about its center of mass, its rotational kinetic energy is K = ½Iω2. Rotational kinetic energy = ½ moment of inertia * (angular speed)2. When the angular velocity of a spinning wheel doubles, its kinetic energy increases by a factor of four.

**How much fraction of kinetic energy of rolling is purely translational and rotational?**

## How do you calculate kinetic energy from translational kinetic energy?

Therefore the total kinetic energy of the object can be found by summing up the two types of kinetic energy. Recall that translational kinetic energy is given by the product of the mass of the object and the square of the objects linear velocity (about its center of mass) and dividing the result by two.