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23 Nov 2019

1) Suppose you are riding a stationary exercise bicycle,andthe electronic meter indicates that the wheel is rotating at9.62rad/s. The wheel has a radius of 0.440 m. If you ride the bikefor44.7 min, how far would you have gone if the bike couldmove?
2) A planet orbits a star, in a year of length 2.34x107 s, in a nearly circular orbit of radius 1.78x1011 m. With respect to the star,determine(a) the angular speed of theplanet,(b) the tangential speed of the planet,and(c) the magnitude and direction of theplanet'scentripetal acceleration.
3) A person is riding a bicycle, and its wheels have anangularvelocity of 15.8 rad/s. Then, the brakes are applied andthe bike isbrought to a uniform stop. During braking, the angulardisplacementof each wheel is 14.2 revolutions.(a) How muchtime does it take for the bike tocome to rest? (b)What is the anguar acceleration(in rad/s2) of eachwheel?

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