A 21-speed bicycle has seven sprockets at the rear wheel

Chapter 2, Problem 7Q

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QUESTION:

Problem 7Q

A 21-speed bicycle has seven sprockets at the rear wheel and three at the pedal cranks. In which gear is it harder to pedal, a small rear sprocket or a large rear sprocket? Why? In which gear is it harder to pedal, a small front sprocket or a large front sprocket? Why?

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QUESTION:

Problem 7Q

A 21-speed bicycle has seven sprockets at the rear wheel and three at the pedal cranks. In which gear is it harder to pedal, a small rear sprocket or a large rear sprocket? Why? In which gear is it harder to pedal, a small front sprocket or a large front sprocket? Why?

ANSWER:

Step 1 of 3

The tension force in the cycle is assumed to be same at both front and rear sprockets

The force at each sprocket ,

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