Rotational Kinematics Anki Deck (Physics)

What this deck is for

This deck is for recall training: quick retrieval of the key relationships, what the symbols mean, and the conditions that make each equation valid.

Use it when you want mechanics to feel less like “formula roulette” and more like pattern recognition: you see a situation, you recall the right law, and then you spend your effort on setup and reasoning.

This deck does not replace solving problems. It’s the recall layer that makes problem practice pay off.

Coverage

Core ideas

• Angular velocity and acceleration definitions
• Constant angular acceleration equations (the “Big 4” for rotation)
• Integral forms for non-constant acceleration
• Bridging linear and rotational quantities (radius dependencies)
• Rotational kinetic energy

Equations in this deck

Definitions:

• $\omega = \frac{d\theta}{dt}$
• $\alpha = \frac{d\omega}{dt}$

Constant Angular Acceleration (The “Big 4”):

• $\theta = \theta_0 + \omega_0 t + \frac{1}{2} \alpha t^2$
• $\omega = \omega_0 + \alpha t$
• $\omega^2 = \omega_0^2 + 2 \alpha \Delta\theta$
• $\Delta\theta = \frac{1}{2} (\omega_0 + \omega) t$

General Kinematics (Integral Form):

• $\theta = \theta_0 + \int_0^t \omega \, dt$
• $\omega = \omega_0 + \int_0^t \alpha \, dt$

Tangential Relations (Linking $r$):

• $x = r \theta$
• $v = r \omega$
• $a = r \alpha$

Energy:

• $K_{rot} = \frac{1}{2} I \omega^2$

Common traps in rotational kinematics

Before you drill cards, know the classic failure modes:

• Trap: Using degrees in calculus or linear-conversion formulas ($v = r\omega$). Fix: Always work in radians for physics equations; $\omega$ is rad/s.
• Trap: Applying “Big 4” equations when angular acceleration $\alpha$ varies. Fix: Check if $\alpha$ is constant; if not, use definitions (derivatives/integrals).
• Trap: Confusing tangential velocity ($v$) with angular velocity ($\omega$). Fix: $\omega$ is the same for the whole rigid body; $v$ grows with distance $r$.
• Trap: Mixing up sign conventions for rotation. Fix: Define one direction (e.g., counter-clockwise) as positive for $\theta, \omega, \alpha$.

What this deck does not do

• It does not teach full mechanics problem solving by itself.
• It does not cover torque or rotational dynamics. If you want that next, check related problem solving resources.

How to use it (so it works)

1. Download the deck and import into Anki (File → Import).
2. Do short daily sessions. Ten minutes beats one long weekly grind.
3. Always attempt before reveal. Recognition is not recall.
4. When you miss a card, write a one-line rule (condition → action): “This equation needs constant acceleration.”
5. Pair recall with real setup practice: Problem-Solving Strategies.

If you want the full physics+math Anki workflow (card types, settings, traps), use: How to Study Physics & Math with Anki

Where this fits in a typical mechanics sequence

• Previous: Momentum Anki Deck
• Next up: Rotational Mechanics: Forces & Energy Anki Deck

If you’re using Unisium

Anki is strong at recall. Unisium is built to train the full loop: retrieval practice, elaboration, self-explanation, and problem solving — with structure and progression.

• Retrieval Practice
• Elaborative Encoding
• Self-Explanation
• Problem-Solving Strategies

Related guides

• Kinematics Anki Deck
• How to Study Physics & Math with Anki
• Problem-Solving Strategies