Question #290025

What is difference between rotational kinetic energy and linear kinetic energy. Write down their formulas and compare them.

1
Expert's answer
2022-01-25T06:51:40-0500

Explanation


  • Kinetic energy is the energy associated with the motion of a body.
  • Linear kinetic energy describes the energy of an object that moves in linearly.
  • Whereas rotational kinetic energy is the energy, related to an object that spins about an axis.
  • The Linear kinetic energy is given by

Ek=12mv2\qquad\qquad \begin{aligned} \small E_k&=\small \frac{1}{2}mv^2 \end{aligned}

  • That for the rotational motion is

Ekr=12Iω2\qquad\qquad \begin{aligned} \small E_{k-r}&=\small \frac{1}{2}I \omega^2 \end{aligned}

  • Yet the 2 formulas are analogous and hence I    m,ω    v\small I \implies m,\quad \omega\implies v .

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