Rotational Kinematics - AP Physics 1

What is the unit of angular displacement?

• Meters (m)

• Radians (rad)

• Newtons (N)

• Joules (J)

How is average angular velocity (ω_avg) calculated?

• Δθ / Δt

• Δω / Δt

• Δv / Δt

• Δx / Δt

Which equation represents angular acceleration (α) in terms of angular velocity (ω)?

• α = Δθ / Δt

• α = Δω / Δt

• α = Δv / Δt

• α = Δx / Δt

• Initial angular velocity

• Initial angular displacement

• Initial angular acceleration

• Initial time

What is the relationship between ω(t) and α in rotational kinematics?

• ω(t) = ω₀ + α t

• ω(t) = ω₀ - α t

• ω(t) = ω₀ × α t

• ω(t) = ω₀ / α t

What is the formula for the tangential speed (v_t) of a point on a rigid body at radius R?

• v_t = Rθ

• v_t = Rω

• v_t = Rα

• v_t = R²ω

Which of the following describes the direction of torque?

• Always clockwise

• Always counterclockwise

• Clockwise (CW) or counterclockwise (CCW) as viewed from chosen axis

• Always perpendicular to the force

What is the formula for the moment of inertia (I) for point masses?

• I = ∑ m_i r_i²

• I = MR²

• I = ½MR²

• I = ⅖MR²

In the context of rotational dynamics, what does Newton's second law state?

• ∑ F = ma

• ∑ τ = Iα

• ∑ F = 0

• ∑ τ = 0

What is the moment of inertia for a solid sphere about its center?

• MR²

• ½MR²

• ⅖MR²

• ⅗MR²