Question

On your first day at work for an appliance manufacturer, you are told to figure out what to do to the period of rotation during a washer spin cycle to triple the centripetal acceleration. You impress your boss by answering immediately.

Express in terms of T.

Equation I believe that needs to be used is a = 4π²r/T²?

Answer 1

a = v^2/r
v T = 2 pi r
so
v = 2 pi r/T
v^2 = (2 pi)^2 r^2/T^2
a = v^2/r = (2 pi)^2 r /T^2
divide T by sqrt 3
a' = (2 pi)^2 r / (T^2/3)

Answer 2

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