1-Our balance is maintained, at least in part, by the endolymph fluid in the inn
ID: 2117018 • Letter: 1
Question
1-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 2.6 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. part A What is the radial acceleration (in m/s^2 ) of the endolymph fluid? part B What is the radial acceleration (in g's) of the endolymph fluid? 2-A model of a helicopter rotor has four blades, each of length 4.00m from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 540rev/min . A-What is the linear speed of the blade tip? B-What is the radial acceleration of the blade tip expressed as a multiple of the acceleration of gravity, g?Explanation / Answer
A)
W =angular speed = 2.6*2*pi = 2.6*2*3.14 = 16.33 rad/s
radial acceleration,a = W^2*r = (2.6*2*3.14)^2*0.07 = 18.66 m/s2
B)
radial acceleration,a =a /g = 18.66/9.8 = 1.9g <---------answer
PART 2
A)
W = 540*2*pi
So, linear speed,v = W*r = (540*2*3.14/60)*4 = 226.1 m/s
B)
radial acceleration = v^2/r = 226.1^2/4 = 12778.04 m/s2 = 1303.9g <------answer
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