Question: What is the angular displacement of a wheel that rotates from rest to an angular velocity of 10 rad/s in 5 seconds with a constant angular acceleration?

Options:

1. 25 rad
2. 50 rad
3. 75 rad
4. 100 rad

Correct Answer: 50 rad

Solution:

Using the formula θ = ω₀t + 0.5αt², where ω₀ = 0, α = 2 rad/s², and t = 5 s, we find θ = 0 + 0.5 * 2 * 5² = 25 rad.