Question

Centripetal problems

I would appreciate anybody who answers them. Please show work. Thank you!

You find yourself on the Gravitron ride at the county fair. It consists of a circular room in which riders stand against the outmost wall(inside the ride) which spins. At some point, the floor is lowered and riders "stick" to the wall. The ride's radius is 6.0 m and is so popular that many standard human beings of mass 65 kg ride at a time.

(a). Find the minimum linear speed of the ride of the ride such that riders "stick" to the outermost wall.

(b). What is the minimum angular speed for part(a)?

(c). What is the centripetal force on the standard human standing against the outermost wall?

(d). What is the centripetal acceleration of the person in part (b)?

(e). Most standard humans begin to black out when acceleration reaches "4 g's ." At what linear speed would the ride need to rotate to produce this acceleration?

(f). Draw a picture of the circular ride and include vectors for F_c, a_c, and v_tangential.

Answer 1

You have not mention about any co efficient of friction which is necessary to solve the problem, so, I assume a minimum admissible value of 0.25. If you have another value then simply plug in in the equations to get the appropriate answer.