A company has asked you to design a new Gravitron ride. They have a motor that will spin the passengers at 26.1 m/s. How large the would the machine need to be in order for the passengers to feel 8g's of acceleration?

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Answer 1 · 2015-11-14T02:26:57

I found: #8.7m#

I would say that the acceleration (centripetal) #a_c# should be equal to:

#8g=8*9.9=78.4#

So:
#a_c=v^2/r=78.4#
and:
#r=v^2/78.4=(26.1)^2/78.4=8.68~~8.7m#