Question Detail

PHY 101 Rotational Motion Objective Question

Question

Two points on a rotating disc are at distances r₁ and r₂ from the center, with r₂ > r₁. Which statement about their angular speeds (ω) and tangential speeds (v) is correct?
Options
A ω₁ = ω₂ and v₁ = v₂
B ω₁ > ω₂ and v₁ > v₂
C ω₁ = ω₂ and v₁ < v₂
Correct Answer
D ω₁ < ω₂ and v₁ < v₂
Correct Answer

Option C is the correct answer.

Detailed Explanation

All points on a rigid rotating object have the same angular speed ω. However, tangential speed v depends on distance from the axis (v = rω). Therefore, since r₂ > r₁, the point farther from the center has a greater tangential speed: v₁ < v₂.

Hint

Angular speed is the same for all points on a rigid body. Tangential speed depends on the radius.

Question Info