Question Detail

PHY 101 Rotational Motion Objective Question

Question

The linear (tangential) speed v of a point on a rotating rigid object is related to its angular speed ω and its distance r from the axis of rotation by the equation
Options
A v = ω/r
B v = r/ω
C v = rω
Correct Answer
D v = rω²
Correct Answer

Option C is the correct answer.

Detailed Explanation

The relationship between linear and angular quantities for a point on a rotating object is derived from the arc length formula s = rθ. Dividing both sides by time gives v = rω, where ω must be in radians per unit time.

Hint

Consider the connection between arc length (linear distance) and the angle swept, then relate this to speed.

Question Info