A wheel is rotating with an angular acceleration of 2 rad/s². If it starts from

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)

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)

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.

Angular Motion – Understanding the relationship between angular acceleration, time, and angular velocity.
Kinematic Equations for Rotational Motion – Application of the formula ω = ω₀ + αt to calculate final angular velocity.