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Strontium90
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Homework Statement
The problem that I was working on and was not able to resolve. This is the problem straight from the book:
12.13) The sprocket wheel on the rear axle of a certain bicycle is 10 cm diameter, and the sprocket wheel to which the pedals are attached is 20 cm in diameter. The wheels of the bicycle are 65 cm in diameter. At how many revolutions per minute must the pedals be turned to travel at 5 m/s?
Homework Equations
This is a problem in a chapter dealing on how to analyze simple machines. Machines based on Classical Mechanics such as the lever, pulley and the inclined plane. The problem was from a sub-section that dealt with the topic of "Torque transmission". It had man of the same concepts as the rest of the chapter. One of the concepts was that of Ideal Mechanical Advantage. It is the quotient of d_out\d_in. Another concept that was illustrated was that of the ratio of angular velocities. This was said to be the inverse of the IMA. It is the following ω_out\ω_in.
The Attempt at a Solution
I used a previous example of a worked out problem to try to solve the problem and that did not yield the answer. Also, one thing that I saw was that if the problem was looking for the number of revolutions that one would make to get to or maintain a velocity of 5 m/s, you would have to make many revolutions each minute to keep this velocity.