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 3.0 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.

A) What is the radial acceleration (in m/s2) of the endolymph fluid? Express your answer to two significant figures.

B) What is the radial acceleration (in g's) of the endolymph fluid? Express your answer to two significant figures.

Explanation / Answer

given data:

revolutions per second =3

the axis of spin =7cm

A) radial acceleration = v^2/r = r*^2 = 0.070m*(3*2)^2 = 24.84m/s^2

B)This = 24.84/9.8 = 2.53g's

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