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A 5.0 g coin is placed 27 cm from the center of a turntable. The coin has static

ID: 1874179 • Letter: A

Question

A 5.0 g coin is placed 27 cm from the center of a turntable. The coin has static and kinetic coefficients offrictio the maximum angular speed at which the turntable can be rotated without the coin sliding off? with the turntable sur ace ofA .79 an hats x rad/s. Submit Answer Save Progress 12 points My Notes Ask Your Teache While at the county fair, you decide to ride the Ferris wheel. Having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. To take your mind off your stomach, you wonder about the motion of the ride. You estimate the radius of the big wheel to be 19 m, and you use your watch to find that each loop around takes 22 s. Note that your mass is 65 kg. (a) What is your "apparent weight" (i.e. the normal force the chair exerts upward on you) at the top of the ride? (b) What is your "apparent weight" at the bottom of the ride?

Explanation / Answer

maximum static frictional force is fs = mu_s*m*g


fs is balanced by centripetal force = m*r*w^2

then

mu_s*m*g = m*r*w^2

m cancels on both sides

0.79*9.8 = 0.27*w^2

w = sqrt((0.79*9.8)/0.27) = 5.35 rad/s

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