Part A Dizziness. Our balance is maintained, at least in part, by the endolymph

Question

Part A 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 2.9 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. at is the radial acceleration in m/s2) of the endolymph fluid? Express your answer to two significant figures Value Units Submit My Answers Give Up Part B What is the radial acceleration (in g's) of the endolymph fluid? Express your answer to two significant figures. Submit My Answers Give Up Provid

Explanation / Answer

Here,

angular speed , w = 2.9 rev/s

w = 18.2 rad/s

r = 7 cm = 0.07 m

part A)

radial acceleration = w^2 * r

radial acceleration = 18.2^2 * 0.07

radial acceleration = 23.2 m/s^2

part B)
in g's

radial acceleration = 23.2/9.8 g's

radial acceleration = 2.37 g's

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