Question

A rod of length 1 m and mass `1/2` kg rotates at an 2 angular speed of 6 rad s^-1 about one of its ends. The kinetic energy of the rod is ______.

Options

• 1 joule

• 2 joule

• 3 joule

• 4 joule

Answer 1

A rod of length 1 m and mass `1/2` kg rotates at an 2 angular speed of 6 rad s^-1 about one of its ends. The kinetic energy of the rod is 3 joule.

Explanation:

M.I. of rod about one end = `"ML"^2/3`

= `1/2 xx (1)^2/3 = 1/6`

` therefore "K.E.of the rod" = 1/2 "I" omega^2 = 1/2 xx 1/6 xx (6)^2 = 3` joule