Dizziness. Our balance is maintained, at least in part, by the endolymph fluid i

Question

Dizziness. Our balance is maintained, at least in part, by the endolymph fluid in the inner ear. Spinning displaces this fluid, causing dizziness. Suppose a dancer (or skater) is spinning at a very fast 2.7 revolutions per second about a vertical axis through the center of his head.  Although the distance varies from person to person, the inner ear is approximately 7.0 cm from the axis of spin.

1.) What is the radical acceleration (in m/s^2) of the endolymph fluid?

a = ?

2.) What is the radical acceleration (in g's) of the endolymph fluid?

a = ?

I have no idea what I am doing here. Please show step by step with correct answers so I can try to understand.

THANK YOU!!

Explanation / Answer

a.radial acceleration = v^2/r = r*?^2 = 0.070m*(2.70*2?)^2 = 20.14 m/s^2

b.This in g's = 20.14/9.8 = 2.055g's

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