Question about a bicycle wheel going uphill

[homeylova223]

Homework Statement

it is a picture.

Relevant Equations

no equations needed

I have a question about 19 and 22.19. I am not sure what difference having a large or smaller wheel would make when pedaling a bicycle. I would assume a large a larger radius turning would require more force.
22. The correct answer is c. I think this is because point A travels a large circumference than point B but it makes fewer revolutions around the center of wheel compared to point B that is my reasoning.

 

[DaveC426913]

19. I am not sure what difference having a large or smaller wheel would make when pedaling a bicycle. I would assume a large a larger radius turning would require more force.

As the risk of sounding patronizing, is it a safe assumption that you have never been on a geared bicycle?
They are there for the very reason you mention.

22. The correct answer is c. I think this is because point A travels a large circumference than point B but it makes fewer revolutions around the center of wheel compared to point B that is my reasoning.

Point A and Point B are points on the belt, right? Literally, you could paint dots on the belt in the appropriate locations and label them, right? As the wheels turn, how do you think the two paints dots are related in terms of distance?

 

[homeylova223]

22. Well for one revolution around the center of the wheel point A would travel a greater distance because of the greater circumference.

 

[jbriggs444]

22. Well for one revolution around the center of the wheel point A would travel a greater distance because of the greater circumference.

Is point A affixed to the belt or to the wheel?
Is point B affixed to the belt or to the wheel?
Does it matter?

@DaveC426913 is trying very hard to get you to think correctly about this.

 

[Lnewqban]

19. I am not sure what difference having a large or smaller wheel would make when pedaling a bicycle. I would assume a large a larger radius turning would require more force.

There is no mention to a bicycle in question #19.
Are you referring to question #20 instead?

For either question, what you basically have, at any instant, are two levers of different length, interconnected by a belt or chain.
The advantage to gaining force is offset by the disadvantage of losing distance.
The advantage to gaining distance is offset by the disadvantage of losing force.

Please, see:
https://en.wikipedia.org/wiki/Mechanical_advantage

 

[haruspex]

If you do mean q20, not 19, note that the diagram "wheels" are sprockets, not the bicycle wheels. In each diagram, the bicycle wheel is coaxial with the rear sprocket (Y) and turns at the same angular rate as the sprocket. The front sprocket turns with the pedals.