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PHY 101 Rotational Motion Objective Question

Question

The instantaneous angular speed ω of a rotating object is defined as the limit of the average angular speed as the
Options
A radius approaches zero.
B angular displacement approaches zero.
C time interval approaches zero.
Correct Answer
D angular acceleration approaches zero.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Instantaneous angular speed is the angular velocity at a specific instant. It is found by taking the limit of the average angular speed (Δθ/Δt) as the time interval Δt approaches zero. Mathematically, ω = lim_{Δt→0} Δθ/Δt = dθ/dt.

Hint

This definition is analogous to how instantaneous linear velocity is defined from average velocity.

Question Info