Four students offer explanations for why the constant-acceleration kinematic…
PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
Four students offer explanations for why the constant-acceleration kinematic equations keep the same algebraic form when linear variables (x,v,a) are replaced by angular variables (θ,ω,α).
Which explanation is most consistent with the underlying mathematics?
(a) Because angle is measured in radians, a dimensionless unit, the algebra does not change.
(b) Because linear quantities can be converted to rotational ones by dividing by a constant radius, any kinematic equation keeps the same shape.
(c) The derivatives that define v and a have the same order as those that define ω and α, so integrating under constant acceleration yields expressions of the same form.
(d) The tangential speed relation v=rω shows a direct proportionality, so replacing x with θ preserves all kinematic relations automatically.