Question

A standard carousel has a radius of 8 meters. A 75-kg merry-go-round worker stands on the ride's platform 5.8 m from the center, as shown in the figure below. The carousel makes 4 rotations per minute. Vworker Worker a. What is the centripetal acceleration of the worker? (2 pts) b. What is the force of friction (Ft) necessary to keep her from falling off the platform? (2 pts) (Show all work, including formulas and units for full credit)

Answer 1

given, f= 4 rpm Angular the velocity, 10) = 2 л = 2(3, 14) (4) rad/s 60 =) = 0.4187 rad/s (a) worker is at &= 5.8m from Center, Centripetal acceleration is a =awl a=15.8)(0.4167) (0,4187) > a = 1.02 m/s (b) force force of required to stay is here m= 75kg. of friction f=mrel = 75 (1,02) f = 76.25 N f = 76.2 N = is the amount of friction required.