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thulling
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Homework Statement
A cyclist intends to cycle up a 8.2^\circ hill whose vertical height is 180 m. The mass of the bike and the cyclist is 95kg.
If each complete revolution of the pedals moves the bike 4.7 m along its path, calculate the average force that must be exerted on the pedals tangent to their circular path. Neglect work done by friction and other losses. The pedals turn in a circle of diameter 39 cm.
Homework Equations
Work of person=Work of gravity
Work of gravity=mgsintheta(d)
Force of person(2pi(r))=mgsintheta(d)
Force of person= mgsintheta(d)/(2pi(r))
The Attempt at a Solution
I plugged the numbers into this final equation and it keeps saying try again. I converted 39cm to meters and took half of that as the radius.
(95*9.8*sin(8.2)*4.7)/(2pi(.0195)
I got 5100 (rounded sig figs) This is wrong.
Please help.