Question

What is the difference between total kinetic energy and translational kinetic energy?

Answer 1

Hint:To answer this theoretical question one must have a basic concept of kinetic energy, here we will understand all the concepts of kinetic energy and will determine the answer. The type of energy that an item or particle has as a result of its movement is known as kinetic energy. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity.

Complete answer:

Translational Kinetic Energy	Total Kinetic Energy
Translation simply means when movement is done along the path from one location to another, rotation around an axis.	The total kinetic energy of a body or a system is defined as equal to the sum of all the kinetic energy from each type of motion.
Formula for translational kinetic energy is the square of its velocity and half the product of its mass, or \[\dfrac{1}{2}m{v^2}\].	Formula for total kinetic energy is the sum of both rotational and translation i.e., $\dfrac{1}{2}I{\omega ^2} + \dfrac{1}{2}m{v^2}$
There is no rotational part as there is only translational part.	For a rotating body, the mass of the body is corresponding to the moment of inertia, $I$ , and the linear velocity is corresponding to angular velocity which is denoted by (omega), $\omega $ , or translational, velocity. Accordingly, a body's rotational kinetic energy is half the product of the moment of inertia and the square of its angular velocity, or $\dfrac{1}{2}I{\omega ^2}$

Note:The joule is the energy unit in the metre-kilogram-second system. The kinetic energy of a two-kilogram mass (something weighing 4.4 pounds on Earth) moving at one metre per second (little more than two miles per hour) is one joule. The erg, or 107 joules, is the kinetic energy of a mosquito in flight in the centimetre-gram-second system. In some cases, other energy units, such as the even smaller electron volt on the atomic and subatomic scales, are used.