Question Detail
Question
What is the time taken for a wheel of diameter 1 m rotating about a fixed axis with an initial angular velocity of 2 rad/s to gain an acceleration of 3 rad/s² with a final angular velocity of 20 rad/s?
Correct Answer
Option A is the correct answer.
Detailed Explanation
Using ω = ω₀ + αt, with ω₀ = 2 rad/s, ω = 20 rad/s, α = 3 rad/s², then t = (ω - ω₀)/α = (20 - 2)/3 = 18/3 = 6 s.
Hint
ω = ω₀ + αt.