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Please help me solve this complicated problem.? |
A cyclist intends to cycle up a 7.50 degrees hill whose vertical height is 120m. Assuming the mass of bicycle plus person is 75.0 kg, (a) Calculate how much work must be done against gravity. (b) If each complete revolution of the pedals move the bike 5.10m along its path, calculate the average force that must be exerted on the pedals tangent to their ciruclar path. Neglect work done by fiction and other losses. The pedals turn in a circle of diameter 36.0cm. a) W = mgh = 75kg * 9.8m/s^2 * 120m = 88 200 J b) 5.1 meter represent a height of Sin(7.5) * 5.1 = 0.666m Average work for one revolution is Wr = mgh = 75kg * 9.8m/s^2 * 0.666m = 489.5 J Average force is Work divided by distance Distance is circumference of one pedal rotation Fr = 489.5J / (3.14*0.36m) = 433.0 N a) Work = 75 * 120Sin7.5 b) compilcated |
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