Calculating Moment of Force on Bicycle Pedal

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Discussion Overview

The discussion revolves around calculating the moment of force on a bicycle pedal, specifically how the angle of the crank affects this calculation. Participants explore the relationship between the angle of the crank and the moment of force, as well as the definitions of variables involved in the calculations.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant has calculated the moment of force when the crank is horizontal but is uncertain about the calculation when the crank is at an angle below horizontal.
  • Another participant states that the horizontal distance from the pedal to the crankshaft is the necessary distance for the calculation.
  • There is contention regarding whether the moment of force remains constant as the crank is turned; some participants assert it does, while others argue it does not.
  • A participant suggests that the moment of force can be expressed as W L cos(angle), where W represents weight and L represents distance.
  • Clarifications are sought regarding the meanings of W and L, with some participants suggesting alternative interpretations.
  • One participant emphasizes the importance of self-directed learning and suggests looking up formulas for better understanding.

Areas of Agreement / Disagreement

Participants express conflicting views on whether the moment of force remains constant as the crank is turned. The discussion does not reach a consensus on this point.

Contextual Notes

There are unresolved assumptions regarding the definitions of variables W and L, as well as the implications of the angle on the moment of force calculation.

Googl
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Hi,

I have a practice question. I have managed to calculate part of it and one last bit I haven't been able to. Hoping you can give me some ideas.

I am given a bicycle pedal that is a some distance long and has been pushed downwards by a given force. Here I have been able to calculate the moment of force when the crank is horizontal but not when the crack us turned a certain degrees below the horizontal.
 
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Horizontal distance from pedal to crankshaft is the distance you need.
 
sophiecentaur said:
Horizontal distance from pedal to crankshaft is the distance you need.

So, the moment of force will remain the same no matter when the crack has been turned 65 degree below the horizontal?
 
Yes it will. The horizontal distance from the force of your weight gets less and less as the crank goes from the horizontal, 'till it gets to zero when you are at the bottom.
taking the angle from the horizontal, the moment will be W L cos(angle).
 
sophiecentaur said:
Yes it will.
I think you meant "No it won't."
 
Oh no it won't/ Oh yes it will. Durrr
I may be sleepy but the maths is correct! and no it won't. (Thanks)
 
sophiecentaur said:
Yes it will. The horizontal distance from the force of your weight gets less and less as the crank goes from the horizontal, 'till it gets to zero when you are at the bottom.
taking the angle from the horizontal, the moment will be W L cos(angle).

Thanks for the help.

What does W and L stand for?
 
W-the Weight or Force acting
L- IS the distance through which it acts at
cos (0) - the angle through L the weight is acting
 
Googl said:
What does W and L stand for?

If you want to learn about these things it's a good idea to read Wikipedia etc. and not just rely on these answers. Self help is good for you, which is why you often get 'partial' answers on this forum, initially.
 
  • #10
sophiecentaur said:
If you want to learn about these things it's a good idea to read Wikipedia etc. and not just rely on these answers. Self help is good for you, which is why you often get 'partial' answers on this forum, initially.

I have a good understanding and I am currently expanding on that knowledge, I am assuming this is why forums exist. I didn't expect to get the real answers just some clues. I study maths mostly W could stand for width and L could stand for length. So you can see my previous need to confirm this.

I actually had an idea for the answer but just wanted to confirm.
 
  • #11
Would it be too much to ask you to look up the formula and see just what my two letters could possibly stand for? I thought the cos(angle) was the only thing necessary to point out. Now . . . . what could the other two letters, in your wildest dreams, represent? (Bearing in mind we're discussing Moments.)
 

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