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Rotating Chamber

Rotating Chamber

Circular Motion Help – Centripetal forces?

Ok im having trouble with this question -
Q1. In the Gravitron ride, our class enters a cylindrical chamber which rotates rapidly, causing you to be pinned to the walls. This gravitron ride has a radius of 5.00m and rotates with a period of 2.50s. You have a mass of 60kg on the ride.
———-
a) Calculate your speed as you revolve on the ride
b) What is the magnitude of your centripetal acceleration?
c) Calculate the magnitude of the normal force thats act on you, from the wall of the gravitron
d) The rate of rotation of the ride is increased so that circle every 2.00 seconds. Calculate the normal force that acts on you now.

r = 5.00 m
T = 2.50 s
M = 60 kg

a)Speed v = 2*PI*r/T
Now you can calculate v.
Explanation: period means time taken to complete one revolution and distance of one revolution = 2*PI*r. Therefore v = 2*PI*r/T

b)Centripetal acceleration a = v^2/r
r is given. You calculated v in part (a). So you can calculate a.

c) Normal force = Ma
M is given. You calculated a in part (b). So you can calculate normal force.

d)T is different now. Calculate v for this value of T. Then use formula normal force = M*v^2/r

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