Forces Acting on Cycling: Explaining Maximum Speed

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When a cyclist reaches maximum speed, the forces acting on the bike include the pedaling force and resistive forces such as friction and air resistance. As the cyclist pedals faster, these resistive forces increase until they equal the pedaling force, resulting in a state of equilibrium. At this point, the cyclist stops accelerating and maintains a constant velocity, known as terminal velocity. The balance of forces explains why no further acceleration occurs despite continued pedaling. Understanding these dynamics is essential for analyzing cycling performance.
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if a person pedals as fast as he can on a bike, and stops accelerating, and his speeds reaches maximum value. how do i explain it in terms of forces acting. can someone please provide me wth a model answer thx. ( by the way i know he reaches terminal velocity, but i don't know how to explain it in forces)
 
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can i say the force exterted equals the frictional force, and so she reaches a constant velocity? i noe i am liek retarded: anyway please help me asap=(
 
Yes that's basically it, except friction here includes the air resistance. Resistive forces get bigger as the speed increases and eventually reach the point where they balance the pedalling force, so no further acceleration
 

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