Question

A particle performs uniform circular motion in a horizontal plane. The radius of the circle is 10 cm. If the centripetal force F is kept constant but the angular velocity is halved, the new radius of the path will be ______.

Options

• 10 cm

• 20  cm

• 40 cm 

• 5 cm

Answer 1

A particle performs uniform circular motion in a horizontal plane. The radius of the circle is 10 cm. If the centripetal force F is kept constant but the angular velocity is halved, the new radius of the path will be 40cm.

Explanation:

F = m`omega^2`R

∴ R `alpha  1/omega^2` (m and Fare constant)

If `omega` is halved, then radius will become 4 times i.e., `"R"_2 = 4"R"_1 = 4 xx 10 = 40 "cm"`