Nano PHYSICS . MECHANICS . ROTATION AND ANGULAR DYNAMICS . ANGULAR POSITION AND ROTATIONAL VARIABLES

Relating Angular and Linear Motion

Points on a rotating body have linear speed and acceleration that depend on distance from the axis. Use geometry to connect angular and linear quantities.

Physics · Mechanics · Rotation and Angular Dynamics · Angular Position and Rotational Variables · Relating Angular and Linear Motion
Access for this nano-lesson
Unsigned visitors can show & copy prompts for Steps 1-3. Signed-in free accounts can also Run with AI for Steps 1-2. Paid accounts unlock everything (Steps 1-6 + Help prompts + AI).
Steps 1-3 Free Steps 4-6 Paid
STEP 1
Orient: relating angular and linear motion
Free
Establish angular position, reference axes, radians, and rotational sign conventions.
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Goal: define angular position using a rotation axis, reference line, zero angle, and positive direction.
STEP 2
Conceptual grounding: build the rotational-coordinate model
Free
Build a workflow for axes, reference lines, right-hand-rule direction, and angular-linear relationships.
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Goal: use radians, the right-hand rule, and angular-linear relationships consistently.
STEP 3
Real-world connection: interpret rotations, axes, and point motion
Free
Apply early rotation reasoning to wheels, disks, spokes, fan blades, and points moving in circles.
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Goal: explain arc length, tangential speed, tangential acceleration, and centripetal acceleration in physical contexts.
STEP 4
Check your understanding: diagnostic mini-quiz
Paid
Attempt each question before revealing the rotational reasoning.
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Goal: identify and correct reference-axis, sign, unit, right-hand-rule, radius, and component errors before they become calculation errors.
STEP 5
Practice: solve increasingly rich early-rotation situations
Paid
Apply the model to situations that grow in complexity.
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Goal: write concise, physically justified rotational-coordinate and angular-linear calculations and explanations.
STEP 6
Summary & reflection + explorations
Paid
Consolidate the model and explore changing axes, signs, radius, angular speed, and acceleration components.
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🔒 ▶ Explore interactive simulation
Goal: carry the model forward into rotational kinematics, torque direction, angular momentum, and circular-motion analysis.