Question Detail

PHY 101 Circular Motion Objective Question

Question

A bicycle wheel with a radius of 33 cm rotates at 40 rpm. What is its angular velocity in rad/s?
Options
A 1320 rad/s
B 4.19 rad/s
Correct Answer
C 0.67 rad/s
D 13.2 rad/s
Correct Answer

Option B is the correct answer.

Detailed Explanation

First, convert 40 rpm to rev/s: 40/60 = 2/3 rev/s. Then multiply by 2π rad/rev: ω = (2/3 rev/s) * 2π rad/rev = (4π)/3 rad/s ≈ 4.19 rad/s.

Hint

Convert revolutions per minute to revolutions per second first. Then, use the relationship between revolutions and radians.

Question Info