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  1. AP Physics 1 Revised
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Compare angular displacement and linear displacement.

Angular displacement: angle through which an object rotates | Linear displacement: change in position of an object in a straight line.

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Compare angular displacement and linear displacement.

Angular displacement: angle through which an object rotates | Linear displacement: change in position of an object in a straight line.

Compare angular velocity and linear velocity.

Angular velocity: rate of change of angular displacement | Linear velocity: rate of change of linear displacement.

Compare angular acceleration and linear acceleration.

Angular acceleration: rate of change of angular velocity | Linear acceleration: rate of change of linear velocity.

What is the difference between clockwise and counterclockwise rotation?

Clockwise: Typically assigned a negative value. | Counterclockwise: Typically assigned a positive value.

What is the effect of applying a constant frictional torque to a rotating disk?

The disk experiences angular deceleration and eventually comes to rest.

What is the effect of a constant angular acceleration on an object initially at rest?

The object's angular velocity increases linearly with time.

What is the effect of increasing the radius of a rotating object (while keeping mass and angular velocity constant) on its moment of inertia?

The moment of inertia increases.

What is the effect of increasing angular velocity on angular displacement?

For a given time interval, the angular displacement increases.

What happens if the angular acceleration is zero?

The angular velocity remains constant.

What is the formula to calculate average angular velocity?

ωavg=ΔθΔt\omega_{avg} = \frac{\Delta \theta}{\Delta t}ωavg​=ΔtΔθ​ where ωavg\omega_{avg}ωavg​ = average angular velocity, Δθ\Delta \thetaΔθ = change in angular displacement and Δt\Delta tΔt = change in time.

What is the formula to calculate average angular acceleration?

αavg=ΔωΔt\alpha_{avg} = \frac{\Delta \omega}{\Delta t}αavg​=ΔtΔω​ where αavg\alpha_{avg}αavg​ = average angular acceleration, Δω\Delta \omegaΔω = change in angular velocity and Δt\Delta tΔt = change in time.

Give the formula relating angular displacement, initial angular displacement, initial angular velocity, angular acceleration, and time.

θ=θ0+ω0t+12αt2\theta = \theta_0 + \omega_0 t + \frac{1}{2} \alpha t^2θ=θ0​+ω0​t+21​αt2 where θ\thetaθ = angular displacement at time ttt, θ0\theta_0θ0​ = initial angular displacement, ω0\omega_0ω0​ = initial angular velocity and α\alphaα = angular acceleration.

Give the formula relating final angular velocity, initial angular velocity, angular acceleration, and angular displacement.

ω2=ω02+2α(θ−θ0)\omega^2 = \omega_0^2 + 2\alpha(\theta - \theta_0)ω2=ω02​+2α(θ−θ0​) where ω\omegaω = angular velocity at angular displacement θ\thetaθ, ω0\omega_0ω0​ = initial angular velocity, α\alphaα = angular acceleration and θ0\theta_0θ0​ = initial angular displacement.