Two points on a merry-go-round are located at distances from the center r₁ and r₂,where r₁

Question

Two points on a merry-go-round are located at distances from the center r₁ and r₂,where r₁ < r₂.While the merry-go-round is in the process of speeding up to operational speed,which of the following equations involving magnitudes of angular speed,angular acceleration,and tangential speed for these points is incorrect? A)w₁ = w₂ B)a₁= a₂ C)v_t₁= v_t₂ D)All of the equations are correct.

Quizplus · Accepted Answer

The tangential speed (v_t) is different for the two points because it depends on the radius (v_t = r * w), and since r₁ < r₂, v_t₁ < v_t₂.

Two Points on a Merry-Go-Round Are Located at Distances from the Center