Consider a bicycle’s 20 cm diameter gear with a 18 cm crank arm going out to the pedals. So the chain is going around this gear and the person is pushing on the pedals, going from 60 rpm to 90 rpm in 10 s (assume at a constant rate). What is the tangential acceleration of the pedal and what length of chain passes over the top of the gear in this time?
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
Consider a bicycle’s 20 cm diameter gear with a 18 cm crank arm going out to the pedals. So the chain is going around this gear and the person is pushing on the pedals, going from 60 rpm to 90 rpm in 10 s (assume at a constant rate). What is the tangential acceleration of the pedal and what length of chain passes over the top of the gear in this time?
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