A 5  10^-⁶-kg dot of paint on the side of a rotating cylinder flies off when the angular speed of the cylinder reaches 5  10³ rad/s. The spin axis of the cylinder is vertical and its radius is 0.04 m. The force of adhesion between the paint and the surface is approximately A) 1 N. B) 1 mN. C) 5 mN. D) 5 kN. E) 5 N.

Question

Quizplus · Accepted Answer

The centripetal force required to keep the paint on the cylinder is:$$F_c = m\omega^2r = (5 	imes 10^{-6} 	ext{ kg})(5 	imes 10^3 	ext{ rad/s})^2(0.04 	ext{ m}) = 5 	ext{ N}$$

A 5  10-6-Kg Dot of Paint on the Side

A 5  10^-⁶-Kg Dot of Paint on the Side