A wheel rotates with a constant angular acceleration α. If its initial angular v
Practice Questions
Q1
A wheel rotates with a constant angular acceleration α. If its initial angular velocity is ω₀, what is its angular velocity after time t? (2023)
ω₀ + αt
ω₀ - αt
αt²
ω₀t
Questions & Step-by-Step Solutions
A wheel rotates with a constant angular acceleration α. If its initial angular velocity is ω₀, what is its angular velocity after time t? (2023)
Step 1: Identify the initial angular velocity (ω₀). This is the speed at which the wheel starts rotating.
Step 2: Identify the constant angular acceleration (α). This is how much the angular velocity increases every second.
Step 3: Identify the time (t) for which the wheel has been rotating.
Step 4: Use the formula for angular velocity: ω = ω₀ + αt. This formula tells you how to calculate the new angular velocity after time t.
Step 5: Plug in the values of ω₀, α, and t into the formula to find the new angular velocity (ω).
Angular Motion – The study of rotational motion, including concepts like angular velocity, angular acceleration, and the equations of motion for rotating bodies.
Equations of Motion – The equations that describe the relationship between angular displacement, angular velocity, angular acceleration, and time.
