Question

A wheel which is at rest, rotates with 3.0 rad/s² angular acceleration for 2.0 s. What will be the angular velocity gained and how much would be the displacement in this time interval?

Answer 1

Given; ω₀ = 0; α = 3.0 rad/s²; t = 2.0 s;
ω = ?; θ = ?
From first equation of motion,
ω = ω₀ + αt = 0 + 3.0 × 2
or ω = 6.0 rad/s
Now applying second equation,
θ = ω₀t + \(\frac{1}{2}\) αt² = 0 + \(\frac{1}{2}\) × 3 × 2 × 2
or θ = 6.0 rad