circular motion?

Question

the carnival ride has a 2.0m radius and rotates once of a rider.
a)find the speed of a rider.
b)find the centripetal accleration of a rider
c)what produces this accleration?
d)when the floor drops down, riders are held up by friction. draw motion and free body diagrams of the situtation
e)what coefficient of static friction is needed to keep the riders from falling?

Answer 1

a) tangential speed
Vt= 2piR/t= 2 pi 2.0/.9
Vt=14 m/s

b) ac= Vt^2/R
ac= (14)^2/2= 98 m/s^2 (Wow! this is almost 10 g. Is it carnival ride from hell?)

c) Tangential inertia. The body want to continue on the motion tangential to the circular path.

d) m g=< u m ac

u= mg/mac=g/ac
u= 9.81/98=0.10