A cyclist exerts 80N of energy pedalling. How much Work is done?

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Homework Help Overview

The problem involves a cyclist exerting a force of 80N while pedaling, with the diameter of the pedal circle being 36 cm. The question seeks to determine the work done during each stroke of the pedals.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the force exerted and the distance covered during a pedal stroke, with some questioning whether the circumference of the pedal circle is relevant to the work done. There are attempts to clarify how the downward force translates into work and whether centripetal motion factors into the calculations.

Discussion Status

The discussion is ongoing, with various interpretations of the problem being explored. Some participants have offered insights into the relationship between force and distance, while others express skepticism about the relevance of certain calculations, indicating a lack of consensus on the approach to take.

Contextual Notes

Participants are grappling with the definitions of distance in the context of work done and the implications of the downward force applied during the pedal stroke. There is also mention of the potential influence of centripetal forces, which remains unaddressed.

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Homework Statement


Cyclist pedals downward stroke with 80N of energy. The diameter of the circle traced by his pedals is 36 cm, how much work is done each stroke?

Homework Equations



W=F•d

The Attempt at a Solution



I figured that the force exerted downwards means half of the circle traced, which would mean that it would be 80 N per 18 centimetres. It was not so. does centripetal stuff have anything to do with this?
 
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The downward thing is just describing the stroke so I believe the problem is telling you that with one stroke, the rider produces 80 N of force forward, so if the diameter is 36 cm, the linear distance in one stroke would be 1 circumference.
 
Daaniyaal said:
I figured that the force exerted downwards means half of the circle traced, which would mean that it would be 80 N per 18 centimetres.
If you have ridden a conventional bicycle, you'll have noticed how while standing on the pedals you can force your foot DOWNWARDS for almost the whole depth of the circle traced by the pedals. You stand vertically, so your leg is exerting the main component force vertically downwards. (You do need to exert a small force tangentially to encourage the pedals to continue turning at the top & bottom of the path, but that tangential force is slight and does insignificant work in relation to that of the main downwards thrust.)

Work done = force • distance through which that force acts

(I've retained that dot you used, as it is very appropriate.)
 
I thank thee profusely, and I am honoured that my dot is appropriate. I bashed random buttons on my keyboard till it came out.
 
Daaniyaal said:

Homework Statement


Cyclist pedals downward stroke with 80N of energy. The diameter of the circle traced by his pedals is 36 cm, how much work is done each stroke?

Homework Equations



W=F•d

The Attempt at a Solution



I figured that the force exerted downwards means half of the circle traced, which would mean that it would be 80 N per 18 centimetres. It was not so. does centripetal stuff have anything to do with this?

You can use the equation for work: W=F * D where D is the distance.

Substitute for D: D = circumference = pi * d, where d is the 0.36 meter diameter. Now the rest of the calculations should be self explanatory.
 
As I indicated in bold, I do not believe circumference is the applicable distance in this problem.
 

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