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As the large ring rotates, the operator can apply a breaking mechanism that binds the
Chapter 14, Problem C14-2(choose chapter or problem)
As the large ring rotates, the operator can apply a breaking mechanism that binds the cars to the ring, which then allows the cars to rotate with the ring. Assuming the passengers are not belted into the cars, determine the smallest speed of the ring (cars) so that no passenger will fall out. When should the operator release the brake so that the cars can achieve their greatest speed as they slide freely on the ring? Estimate the greatest normal force of the seat on a passenger when this speed is reached. Use numerical values to explain your answer.
Questions & Answers
QUESTION:
As the large ring rotates, the operator can apply a breaking mechanism that binds the cars to the ring, which then allows the cars to rotate with the ring. Assuming the passengers are not belted into the cars, determine the smallest speed of the ring (cars) so that no passenger will fall out. When should the operator release the brake so that the cars can achieve their greatest speed as they slide freely on the ring? Estimate the greatest normal force of the seat on a passenger when this speed is reached. Use numerical values to explain your answer.
ANSWER:
Step 1 of 3
The formula for the centripetal acceleration is given as
Where v is the velocity of the car, and r is the radius of the wheel.
Substitute the known values in the above expression as
Hence, the smallest speed of the car so that the passenger will not fall down is 