A wheel is rotating with an angular acceleration of 2 rad/s². If it starts from rest, what will be its angular velocity after 5 seconds? (2022)

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Q: A wheel is rotating with an angular acceleration of 2 rad/s². If it starts from rest, what will be its angular velocity after 5 seconds? (2022)

Solution: Using the formula ω = ω₀ + αt, where ω₀ = 0, α = 2 rad/s², and t = 5 s, we get ω = 0 + 2*5 = 10 rad/s.

Steps: 6

Step 1: Identify the initial angular velocity (ω₀). Since the wheel starts from rest, ω₀ = 0 rad/s.
Step 2: Identify the angular acceleration (α). The problem states that α = 2 rad/s².
Step 3: Identify the time (t) for which the wheel is accelerating. Here, t = 5 seconds.
Step 4: Use the formula for angular velocity: ω = ω₀ + αt.
Step 5: Substitute the values into the formula: ω = 0 + (2 rad/s² * 5 s).
Step 6: Calculate the result: ω = 0 + 10 rad/s = 10 rad/s.