A track coach gives her students a solved example showing that a sprinter…
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A track coach gives her students a solved example showing that a sprinter accelerating from rest for 4.0s with a constant linear acceleration of 3.5ms−2 will cover a distance of 28m.
A physics student wants to understand how this result would translate to a rigid disk that starts from rest and spins with constant angular acceleration.
Answer the following questions in a clear, well-reasoned manner. Use complete sentences supported by algebraic expressions where appropriate.
(a) List the linear kinematic variables that appear in the sprinter’s solution and state the directly corresponding rotational variables the student should substitute when creating an angular version of the problem.
(b) Show, without performing any numerical calculation, that the equation used for the sprinter’s displacement remains mathematically valid after the substitutions you identified in part (a).
(c) Describe one physical condition that must be satisfied for the equation from part (b) to remain applicable to the spinning disk, and explain why violating that condition would require a different model.