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THIS IS A CIRCULAR MOTION QUESTION Q#1 (A) At six flags over Georgia near Atlant

ID: 1672605 • Letter: T

Question

THIS IS A CIRCULAR MOTION QUESTION Q#1 (A) At six flags over Georgia near Atlanta, the weellie cariespassengers in a circular path with a radius of 7.7m. the ride makesa complete rotation every 4.0s (a ) what is a passengers angularvelocity due to the circular motion? (b) what acceleration does apassenger experienced? (B) A stunt driver drives a car so fast that it leave theground as it tops a hill. if the hill is approximated by a 165mradius vertical circle, what speed must the car exceed to leave theground at the top of the hill? THIS IS A CIRCULAR MOTION QUESTION Q#1 (A) At six flags over Georgia near Atlanta, the weellie cariespassengers in a circular path with a radius of 7.7m. the ride makesa complete rotation every 4.0s (a ) what is a passengers angularvelocity due to the circular motion? (b) what acceleration does apassenger experienced? (B) A stunt driver drives a car so fast that it leave theground as it tops a hill. if the hill is approximated by a 165mradius vertical circle, what speed must the car exceed to leave theground at the top of the hill?

Explanation / Answer

A) r = 7.7 m, T = 4.0 s a) = 2/T = 1.57 rad/s b) a = 2r = 19.0 m/s2 B) r = 165 m, at the top: mg = mv2/r, so v2 = gr at the ground, speed = u mu2/2 = mv2/2 + mg(2r) so u2 = 5gr u = (5gr) = 19.4 m/s