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Volume I · MMXXVI AP Physics 1: Algebra-Based
Library AP Physics 1: Algebra-Based Unit 5: Torque and Rotational Dynamics
⁂   AP Physics 1: Algebra-Based · Unit 5

5. Torque and Rotational Dynamics

10–15% of the AP exam. 6 key topics. 4 common errors analyzed.

10–15% exam weight

Unit 5: Torque and Rotational Dynamics

Unit 5 (Torque and Rotational Dynamics) is part of AP Physics 1 (Algebra-Based). Concept-first: understand the physical reasoning before memorizing equations — the four named FRQ types reward explanation over plug-and-chug.

Key topics in this unit

  1. Rotational kinematics: angular position, velocity, and acceleration
  2. Connecting linear and rotational quantities (v = rω, a = rα)
  3. Torque and the lever-arm concept
  4. Rotational inertia and its dependence on mass distribution
  5. Rotational equilibrium: net torque equals zero
  6. Newton's Second Law in rotational form: τ_net = Iα

Common errors — what the rubric penalizes

These are the most frequently penalized mistakes on AP exam FRQs and MCQs. Review each before your next practice session.

Common error

Assuming rotational inertia depends only on total mass rather than how that mass is distributed about the rotation axis — a hollow ring and a solid disk of equal mass and radius have different rotational inertias, making the ring harder to angularly accelerate

Common error

Calculating torque using the full length of a moment arm rather than the perpendicular distance from the rotation axis to the line of action of the force — failing to apply the sin θ factor when the force is not perpendicular to the lever arm

Common error

Treating the rotational analogs to linear motion as a simple substitution without understanding physical meaning — for example, using τ = Iα but forgetting that I is not constant when mass distribution changes (as in a figure-skater pulling arms in)

Common error

Errors in rotational equilibrium problems: taking torques about an inconvenient pivot point, requiring more unknowns, rather than choosing a pivot that eliminates an unknown force from the torque equation

Study checklist

  • Can you list all key topics from memory without this page?
  • Have you worked through at least one FRQ-style question per topic?
  • Can you explain each common error above — and why the correct answer differs?
  • Have you reviewed the relevant College Board CED section and formula sheet entries?
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