Calculate output forces of machines

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Calculating the output force of machines involves understanding the relationship between input and output torques, particularly in systems like bicycles. When a force is applied, the output force is often less than expected due to factors like angular acceleration and the distribution of energy within the system. The discussion highlights that the output torque can lag behind the input torque, especially during acceleration, and that energy conservation principles apply, meaning energy input must equal energy output plus any changes in kinetic energy. Participants emphasize the importance of clear equations and understanding the underlying physics, such as Newton's second law, to accurately calculate forces. Ultimately, the conversation underscores the complexity of real-world applications and the need for precise mathematical modeling to grasp these concepts fully.
  • #31
Ok. I know that there is no difference between the friction force and the force the tire imparts to the ground and they equal and opposite. What I was saying is that Eout is not entirely Eout, because the wheel is part of the bike. I know that Iadθ is the energy that goes into rotating the wheel giving it rotational kinetic energy, but the wheel also gains translational kinetic energy from a portion of mαr^2dθ. I thought this portion was Mw/Mbike.
 
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  • #32
Does that make any sense?
 
  • #33
Yes.
 

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