Cycling. For a touring bicyclist the drag coefficient C1ƒ = 1 CArv22 is 1.00, the frontal...

Cycling. For a touring bicyclist the drag coefficient C1ƒ = 1 CArv22 is 1.00, the frontal area A is 0.463 m^2, and the coefficient of rolling friction is 0.0045. The rider has mass 50.0 kg, and her bike has mass 12.0 kg. (a) To maintain a speed of 12.0 m/s (about 27 mi/h) on a level road, what must the rider’s power output to the rear wheel be? (b) For racing, the same rider uses a different bike with coefficient of rolling friction 0.0030 and mass 9.00 kg. She also crouches down, reducing her drag coefficient to 0.88 and reducing her frontal area to 0.366 m^2. What must her power output to the rear wheel be then to maintain a speed of 12.0 m/s? (c) For the situation in part (b), what power output is required to maintain a speed of 6.0 m/s? Note the great drop in power requirement when the speed is only halved. (For more on aerodynamic speed limitations for a wide variety of human-powered vehicles, see “The Aerodynamics of Human-Powered Land Vehicles,” Scientific American, December 1983.)

Expert Solution

genius_generous answered 9 months ago

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