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)ω₁ = ω₂ B)α₁ = α₂ C)vt₁ = vt₂ D)All of the equations are correct.

Quizplus · Accepted Answer

For points on a rotating body like a merry-go-round, while the angular speed (ω) and angular acceleration (α) are the same for all points (because each point makes the same angle and angular acceleration per unit time), the tangential speed (v_t) varies with the distance from the center. The formula v_t = rω shows that tangential speed increases with distance from the center, so v_t1 ≠ v_t2 if r1 ≠ r2.

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