What is the ratio of the rotational kinetic energy to the total kinetic energy?

The ratio of the translational to the rotational kinetic energy is Etrans/Erot = mr2/I. If two rolling object have the same total kinetic energy, then the object with the smaller moment of inertia has the larger translational kinetic energy and the larger speed.

What is the ratio of kinetic energy of a rolling ball is rotational and translational energy?

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

How do you find kinetic energy with rotational kinetic energy?

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What is the rotational kinetic energy of a sphere?

Relevant equations Inertia of solid sphere = 2/5 mR^2 (where R is the radius and m is the mass) Rotational energy = 1/2Iw^2 (where I is the inertia and w is the angular velocity) Kinetic/ Transitional energy = 1/2mv^2 These are the only equations I know of, that are relevant to this – along with the conversion from …

What is the rotational kinetic energy K of the rotating wheel?

The rotational kinetic energy K of the rotating wheel is 1353.96 J.

What is the total translational and rotational?

Translational degree of freedom = 3, and rotational degree of freedom = 2, so. Translational energy, ET=32RT,Rotational energy, ER=RT. Here, Temperature T=300 K, R=8.314 J mol−1 K−1. Etotal=32RT+RT=52RT=52×8.314×300=6235.5 J.

How is rotational kinetic energy different from the linear kinetic energy?

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.

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 total kinetic energy of solid sphere?

And the total energy of the sphere will be the sum of rotational kinetic energy and translational kinetic energy. Where m is the mass and v is velocity. Now the contribution of translational kinetic energy in total kinetic energy can be found dividing the translational kinetic energy by total kinetic energy.