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Rotation
980 free resources tagged Rotation: tools, labs, worksheets, cheat sheets, and infographics.
Tools
Geometry Geometric Transformations Visualizer Math Matrix Transformation 2D Physics Torque & Rotational Motion Calculator Physics Rigid Body Dynamics Calculator Physics Belt and Pulley Drive Calculator Physics Gear Train Calculator Applied Math Mechanism Design Explorer Physics Simple Machines for Kids Earth Science Day/Night Earth Simulator Earth Science Time Zone Physics Tool Earth Science Projectile Motion on Earth Map Earth Science Weather & Pressure Visualizer Physics Simple Machines Physics Physics Gear Ratio Explorer Physics Torque & Levers Explorer Physics AP Physics FRQ Simulator
Labs
Geometry Congruence & Transformations Lab Physics Gear Trains & Power Transmission Lab Physics Rotational Equilibrium & Torque Lab Physics Mechanism Design Explorer Lab Earth Science Moon Phases, Eclipses & Seasons Lab Physics Wind Turbine Blade Design Lab Physics Center of Mass & Balance Lab Physics Rolling Motion Lab Physics Tower Strength Lab
Worksheets
Earth Science Science: Day Night and the Sky Earth Science Science: The Solar System Math Math: Unit Circle and Trigonometry Math Geometric Transformations: Translations, Rotations, and Reflections Physics Science: Circular Motion and Centripetal Force Astronomy Astronomy: The Moon's Phases and Tides Physics Physics: Rotational Motion and Torque Math Transformations: Translations, Rotations, Reflections Science Shadows: How They Form and Change Through the Day Science Science: The Sun, Moon, and Earth: Understanding Day and Night Physics Physics: Simple Machines Pulleys Wheels and Gears Earth Science Earth Science: Severe Weather Tornadoes Hurricanes Thunderstorms Astronomy Astronomy: Day, Night, and Seasons Astronomy Astronomy: Earth Place in the Solar System Physics Physics: Circular Motion and Centripetal Acceleration Astronomy Astronomy: Day and Night: Why Does the Sky Change? Astronomy Astronomy: The Moon: Shapes We See at Night Science Science: Day Night and Changing Shadows Part Two Physics Physics: AP Physics 1: Rotational Kinematics and Dynamics Physics Physics: AP Physics C Mechanics: Center of Mass and Moment of Inertia Physics Physics: Balancing Act: Levers, See-Saws, and Center of Mass Physics Physics: Toys in Motion: Balls, Cars, and Tops Earth Science Earth Science: The Coriolis Effect and Global Wind Patterns Astronomy Astronomy: Planets Math Geometry: Transformations Physics Physics: Forces and Machines Geometry Geometry: Transformations (High School) Geometry Geometry: Transformations (Middle School) Physics Physics: Sports Physics: Impulse, Spin, and Trajectory Physics Physics: Torque, Equilibrium, and Bridge Loads Engineering Engineering: Wind Turbine Blade Pitch Data Analysis
Cheat Sheets
Math Geometric Transformations Math Tessellations & Symmetry Reference Math Transformations Translations Rotations Reflections Math Group Theory Cyclic & Dihedral Groups Physics Rotational Motion & Torque Physics AP Physics C Mechanics Formula Sheet Physics AP Physics C Mechanics Calculus Versions Physics Dynamics Particle and Rigid Body Motion Physics Rotational Motion and Angular Momentum Physics Angular Momentum Conservation Reference Physics Coriolis & Centrifugal Forces Reference Physics Faraday's Law & Induced EMF Worked Examples Physics Larmor Precession Reference Physics Moment of Inertia Reference Table Physics Pendulums (Simple, Physical, Torsional) Physics Uniform Circular Motion Physics A-Level Mechanics Formula Sheet Annotated Physics Rotational Kinematics Worked Examples Physics Torque and Rotational Equilibrium Worked Examples Earth Science The Solar System Earth Science Tornado Scale & Formation Earth Science Atmospheric Circulation Cells Reference Earth Science Ocean Currents & Thermohaline Circulation Earth Science Latitude, Longitude, and Time Zones Science Sun Moon Day Night and Shadows Grade 2 Visual Science Simple Machines for Young Scientists Astronomy Lunar Phases & Tides Astronomy Galactic Rotation Curves & Dark Matter Astronomy Pulsars & Magnetars Reference Astronomy Jupiter and the Galilean Moons Reference Astronomy Sidereal versus Synodic Periods Reference Physical Education Anatomy of Movement & Major Muscle Groups Physical Education Volleyball Rules & Court Diagram Physical Education Pickleball Rules & Scoring Physical Education Swimming Strokes & Technique Physical Education Table Tennis Rules & Technique Engineering Mechanical Engineering Basics Engineering Bearings & Lubrication Reference Engineering Belt & Chain Drive Design Reference Engineering Cam & Follower Motion Reference Engineering Gear Train Design & Ratios Engineering Mohr's Circle Stress Analysis Reference Engineering Power Screws & Lead Reference Engineering Shaft Design & Torsion Reference Engineering Steam Turbine Stages Reference Engineering Stepper, Servo & DC Motor Comparison Engineering Threaded Fasteners Reference Engineering CNC Machining Basics Engineering Three-Moment Equation for Continuous Beams Robotics Kinematics & Robot Motion Robotics DC Motors, Servos & Steppers Comparison Robotics Drone Anatomy & Flight Reference Robotics Mobile Robot Drivetrains Robotics Robotics Math & Trig Reference Robotics Encoder & Feedback Systems Reference Robotics Robotic Arm DH Parameters & DOF Robotics Servo & PWM Control Reference Robotics Gear Ratios & Torque for Robots Robotics Inverse Kinematics Reference Robotics Robot Coordinate Frames & Transforms Aviation Weight and Balance for Drones
Infographics
Physics Circular Motion & Centripetal Force Physics Torque & Rotational Motion Physics Rolling vs Sliding Physics Levers and the Seesaw Physics Wheels and Axles Physics Simple Machines Around Us Physics Levers Physics Pulleys Physics Rolling and Sliding Physics Simple Machines Physics Wheels and Axles Physics Nikola Tesla: Pioneer of AC Electricity Physics The Physics of a Skateboard Ollie Physics How Roller Coasters Use G-Forces Safely Physics The Physics of a Curveball, Slider, and Knuckleball Physics The Physics of a Perfect Basketball Free Throw Physics The Magnus Effect, Why Soccer Balls Curve Physics How Wind Turbines Generate Power Physics How Electric Motors Work Physics How Generators Create Electricity Physics How Magnets Drive Electric Motors Physics Physics: Centripetal Force Physics Physics: Circular Motion Dynamics Physics Physics: Pseudo-Forces Physics Physics: The Coriolis Effect Physics Physics: Center of Mass Physics Physics: Angular Velocity and Acceleration Physics Physics: Moment of Inertia Physics Physics: Angular Momentum Conservation Physics Physics: Rotational Kinetic Energy Physics Physics: Rolling Without Slipping Physics Physics: Torque and Angular Acceleration Physics Physics: Equilibrium of Rigid Bodies Physics Physics: Gyroscopic Precession Physics Physics: The Parallel Axis Theorem Physics Physics: Rotational vs Linear Motion Physics Physics: Centripetal vs Centrifugal Physics Physics: The Physics of Spinning Tops Physics Physics: Tides and Gravity Physics Physics: Geostationary Orbits Physics Physics: Center of Gravity and Stability Math Patterns and Visual Repetition Math Unit Circle Math Geometric Transformations Math Unit Circle (Full Visual Map) Math Matrix Transformations in 2D Math Angle Relationships in Circles Math The Math of K-Pop Choreography Formations Math Math: Radians and Degrees Math Math: Trig Values of Special Angles Math Math: Graphing Sine and Cosine Math Math: Solving Trigonometric Equations Math Math: The Six Trigonometric Functions Math Math: Reference Angles and Coterminal Angles Math Math: Trigonometric Form of Complex Numbers Math Math: Arc Length and Sector Area Math Math: Graphing Polar Equations Math Math: Matrices as Transformations Math Math: The Cross Product Math Math: Telling Time Biology Biology: Major Joints and Movement Chemistry Chemistry: Cis-Trans Isomerism Chemistry Chemistry: Newman Projections and Conformations Chemistry Chemistry: Optical Activity and Polarimetry Calculus Volumes of Revolution - Disk and Washer Method Calculus Shell Method for Volumes Calculus Arc Length and Surface Area of Revolution Calculus Calculus: Integrals of Trig Functions Calculus Calculus: Volume by the Disk Method Calculus Calculus: Volume by the Washer Method Calculus Calculus: Surface Area of Revolution Calculus Calculus: Volumes of Revolution Compared Calculus Calculus: Pappus's Theorem for Volume Calculus Calculus: Green's Theorem Calculus Calculus: Curl and Divergence Calculus Calculus: Stokes' Theorem Calculus Calculus: Solids of Revolution About Any Line Calculus Calculus: Center of Mass of a Solid Geometry Geometric Transformations Geometry 3D Nets and Folding Solids Geometry Transformations on the Coordinate Plane Geometry Symmetry - Line, Rotational, and Point Geometry Tessellations and Tile Patterns Geometry The Five Platonic Solids Geometry Types of Angles Geometry Geometry: Vertical Angles Geometry Adjacent Angles and Linear Pairs Geometry Geometry: Measuring Angles with a Protractor Geometry Geometry: Coterminal and Reference Angles Geometry Geometry: Equilateral and Equiangular Triangles Geometry Geometry: Properties of Kites Geometry Geometry: Exterior Angles of Polygons Geometry Geometry: Regular Polygons Geometry Geometry: Star Polygons Geometry Geometry: Central Angles and Arcs Geometry Geometry: Pi and Its History Geometry Geometry: Radians and Arc Measure Geometry Geometry: The Unit Circle Geometry Geometry: Volume of a Torus Geometry Geometry: Pappus's Theorems Geometry Geometry: Nets of 3D Shapes Geometry Geometry: Faces, Edges, and Vertices Geometry Geometry: Right vs Oblique Solids Geometry Geometry: The Archimedean Solids Geometry Prism vs Pyramid Geometry Geometry: Symmetry in Three Dimensions Geometry Geometry: Translations on the Plane Geometry Geometry: Rotations on the Plane Geometry Geometry: Composition of Transformations Geometry Geometry: Rigid Motions and Isometries Geometry Geometry: Line Symmetry and Rotational Symmetry Geometry Geometry: Transformations and Congruence Geometry Geometry: Transformations and Similarity Geometry Geometry: Copying a Segment and an Angle Geometry Geometry: Inscribing a Regular Hexagon Geometry Geometry: Penrose Tilings Geometry Geometry: The Mobius Strip Geometry Geometry: Symmetry Groups Geometry Geometry: Clock Angles Geometry Geometry: Napoleon's Theorem Geometry Geometry: Area of a Regular Hexagon Geometry Geometry: Reuleaux Triangles Geometry Geometry: Stellated Polyhedra Geometry Geometry: Frieze Patterns Geometry Geometry: Polar Coordinates and Curves Earth Science Day vs Night Earth Science Seasons: Why Weather Changes Earth Science Day and Night Earth Science Moon Phases Earth Science Seasons Earth Science How Tornadoes Form Earth Science How Hurricanes Form Earth Science How High and Low Pressure Systems Move Air Medical Science How Balance Works in the Inner Ear Engineering Dams and Hydroelectric Power Engineering Mechanical Engineering: Simple Machines in Modern Design Engineering Gears, Torque, and Speed Engineering Engines: How Internal Combustion Works Engineering James Watt: Inventor of the Modern Steam Engine Engineering How a Car Engine Works Engineering How Helicopters Fly Engineering How Drones Stay in the Air Engineering How Bicycles Balance Engineering How Motorcycle Gears Work Engineering How Escalators Work Engineering How a Washing Machine Works Engineering How a Clothes Dryer Works Engineering How Smart Locks Work Engineering How Garbage Disposals Work Engineering How Locks and Keys Work Engineering Engineering: Torsion of Shafts Engineering Engineering: Area Moment of Inertia Engineering Engineering: Electric Motor Types Compared Engineering Engineering: Machining (Turning and Milling) Engineering Engineering: Moment of a Force Engineering Engineering: Bearing Types Engineering Engineering: Gear Types Compared Engineering Engineering: Spur Gear Geometry Engineering Engineering: Belt and Pulley Drives Engineering Engineering: Chain Drives Engineering Engineering: Shaft Design Engineering Engineering: Shaft Couplings Engineering Engineering: Cam and Follower Mechanisms Engineering Engineering: Clutches Engineering Engineering: Keys and Splines Engineering Engineering: Power Screws Engineering Engineering: Aircraft Stability and Control Engineering Engineering: How a Blender Works Engineering Engineering: How a Can Opener Works Engineering Engineering: How a Hair Dryer Works Engineering Engineering: How a Ballpoint Pen Works Engineering Engineering: How a Combination Lock Works Engineering Engineering: How a Sewing Machine Works Engineering Engineering: How an Electric Toothbrush Works Civics & Government George Washington: First President of the United States Astronomy The Moon: Structure and Features Astronomy Nicolaus Copernicus: Father of the Heliocentric Model Astronomy Vera Rubin: Detector of Dark Matter Astronomy Solar System Astronomy Living on Mars Astronomy Moon Phases for Kids Astronomy Solar System Overview for Kids Astronomy Galaxies and the Milky Way Astronomy How Pulsars Work Early Learners Telling Time to the Nearest 5 Minutes Early Learners Early Learners: Telling Time to the Hour Early Learners Early Learners: Telling Time to the Half Hour Early Learners Early Learners: Morning, Afternoon, and Night Early Learners Early Learners: Day and Night Early Learners Early Learners: The Moon Changes Shape Early Learners Early Learners: Sink, Roll, or Slide Early Learners Early Learners: Following Directions on a Map Early Learners Early Learners: Telling Time, Hours in a Day Art & Design Pablo Picasso: Pioneer of Cubism Art & Design Gesture Drawing Art History The Starry Night Health How Joints Let You Move Foreign Languages Telling Time Robotics Parts of a Robot Robotics Sensors and Actuators Robotics Robot Motors Explained Robotics How a Robot Arm Works Robotics Torque, Gears, and Speed Robotics Degrees of Freedom in Robotics Robotics Simple Machines Inside Robots Robotics Robot Coordinate Systems Robotics Robot Kinematics Robotics Drones as Flying Robots Robotics Humanoid Robots Robotics How Robot Arms Move With Joints and Motors Robotics Robotics: Mecanum Wheel Robotics Robotics: Omni Wheel Robotics Robotics: Swerve Drive Module Robotics Robotics: Tank Tread Drive Robotics Robotics: Ball Drive (Killough Platform) Robotics Robotics: Differential Drive Robotics Robotics: Ackermann Steering Robotics Robotics: Skid-Steer Drive Robotics Robotics: Caster Wheel Robotics Robotics: Whegs (Wheel-Leg Hybrid) Robotics Robotics: Bipedal Leg Mechanism Robotics Robotics: Quadruped Leg Mechanism Robotics Robotics: Spherical Robot Drive Robotics Robotics: Screw Drive Locomotion Robotics Robotics: Snake Robot Locomotion Robotics Robotics: Mecanum vs Omni vs Swerve Robotics Robotics: Servo Motor Anatomy Robotics Robotics: Brushed DC Motor Robotics Robotics: Brushless DC Motor (BLDC) Robotics Robotics: Stepper Motor Robotics Robotics: Linear Actuator Robotics Robotics: Continuous Rotation Servo Robotics Robotics: Geared DC Motor Robotics Robotics: Motor Driver and H-Bridge Robotics Robotics: Electronic Speed Controller (ESC) Robotics Robotics: Field-Oriented Control (FOC) Robotics Robotics: Direct Drive Motor Robotics Robotics: Servo vs Stepper vs DC Motor Robotics Robotics: Twisted String Actuator Robotics Robotics: Ultrasonic Motor Robotics Robotics: Torque Motor (Frameless) Robotics Robotics: Stall Torque and Torque-Speed Curve Robotics Robotics: Planetary Gearbox Robotics Robotics: Harmonic Drive (Strain Wave Gear) Robotics Robotics: Cycloidal Drive Robotics Robotics: Spur Gear Train Robotics Robotics: Bevel Gears Robotics Robotics: Worm Gear Robotics Robotics: Rack and Pinion Robotics Robotics: Gear Differential Robotics Robotics: Timing Belt Drive Robotics Robotics: Chain and Sprocket Drive Robotics Robotics: Lead Screw and Ball Screw Robotics Robotics: Capstan Drive Robotics Robotics: Cable-Driven Joint (Tendon Drive) Robotics Robotics: Four-Bar Linkage Robotics Robotics: Slider-Crank Mechanism Robotics Robotics: Cam and Follower Robotics Robotics: Geneva Mechanism Robotics Robotics: Ratchet and Pawl Robotics Robotics: Universal Joint (U-Joint) Robotics Robotics: Constant-Velocity Joint Robotics Robotics: Backlash and Anti-Backlash Gears Robotics Robotics: Gear Reduction Stages Robotics Robotics: Belt Tensioner Systems Robotics Robotics: Clutch Mechanism Robotics Robotics: Torsion Spring Mechanism Robotics Robotics: Slip Ring Robotics Robotics: Revolute Joint Robotics Robotics: Spherical Joint Robotics Robotics: SCARA Arm Configuration Robotics Robotics: Stewart Platform (Hexapod) Robotics Robotics: Robot Wrist Mechanism Robotics Robotics: Flexure Hinge Robotics Robotics: Remote Center of Motion Mechanism Robotics Robotics: Reaction Wheel Robotics Robotics: Control Moment Gyroscope Robotics Robotics: Two-Axis Gimbal Robotics Robotics: Three-Axis Gimbal Stabilizer Robotics Robotics: Inverted Pendulum Balancing Robotics Robotics: Flywheel Stabilization Robotics Robotics: 3D Spinning LiDAR Robotics Robotics: Inertial Measurement Unit (IMU) Robotics Robotics: MEMS Gyroscope Robotics Robotics: Magnetic Rotary Encoder Robotics Robotics: Optical Incremental Encoder Robotics Robotics: Absolute Encoder Robotics Robotics: Quadrature Encoder Robotics Robotics: Potentiometer Position Sensor Robotics Robotics: Six-Axis Force-Torque Sensor Robotics Robotics: Wheel Odometry Robotics Robotics: Motor Current Sensor Robotics Robotics: Sensor Fusion Robotics Robotics: Servo Driver Board Robotics Robotics: Anthropomorphic Robot Hand Robotics Robotics: Underactuated Tendon Hand Robotics Robotics: Scissor-Lift Mechanism Robotics Robotics: Pinch Gripper Linkage Robotics Robotics: Ball Bearing Robotics Robotics: Magnetic Levitation Bearing Robotics Robotics: Shaft Coupling Robotics Robotics: Bearing Preload and Mounting School Projects Rubber Band-Powered Boat Project School Projects Build a Simple Catapult Project School Projects Build a Mini Wind Turbine Project School Projects School Projects Using Paper Plates School Projects Recycled Transportation Model Project School Projects Planet Research Poster Project Ideas School Projects Solar System Model Project School Projects Moon Phases Model Project School Projects Build a Working Sundial School Projects Tornado in a Bottle Project School Projects Make an Anemometer for Wind Speed School Projects Build a Robotic Claw Project School Projects Build a 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Create a Geometry Shape Mobile School Projects Build a Tessellation Pattern Poster School Projects Build a 3D Geometric Shapes Model School Projects Build a Clock to Learn Time School Projects Make an Angles in the Real World Poster School Projects Design a Story Cube Project School Projects Build a Story Elements Mobile School Projects Build a Spinning Anemometer School Projects Build a Balancing Sculpture Project School Projects Build a Hand-Crank Winch School Projects Build a Propeller-Powered Car School Projects Build a LEGO Simple Machine School Projects Make a Cardboard Claw Grabber School Projects Build a Windmill That Lifts a Weight School Projects Build a Working Catapult Trebuchet School Projects Make a Pop-Up Paper Mechanism School Projects Make a Wind Vane School Projects Make a Day and Night Globe Model School Projects Create a Seasons Tilt Demonstration Aviation Aviation: The Three Axes of Flight Aviation Aviation: Primary Flight Controls Aviation Aviation: Aircraft 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Laser Gyro Aviation Aviation: Igor Sikorsky Aviation Aviation: The Autogyro Aviation Aviation: Spatial Disorientation Astronautics Astronautics: Rocket Turbopumps Astronautics Astronautics: Geostationary Orbit Astronautics Astronautics: Attitude Control Astronautics Astronautics: Reaction Wheels Astronautics Astronautics: Star Trackers Astronautics Astronautics: Artificial Gravity Astronautics Astronautics: Space Station Robotic Arms Astronautics Astronautics: Ingenuity Astronautics Astronautics: The Geostationary Belt Astronautics Astronautics: O'Neill Cylinders Astronautics Astronautics: Rotating Space Habitats Astronautics Astronautics: Orbital Sunrise Medical Technology Medical Technology: CT Scanners Medical Technology Medical Technology: Laboratory Centrifuges Renewable Energy Machines Renewable Energy Machines: Wind Turbines Renewable Energy Machines Renewable Energy Machines: Wind Turbine Anatomy Renewable Energy Machines Renewable Energy Machines: Horizontal vs Vertical-Axis 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Turbine Classes Renewable Energy Machines Renewable Energy Machines: Generator Cooling Motorsport Engineering F1 The Turbocharged V6 Engine Motorsport Engineering F1 MGU-H Energy Recovery Motorsport Engineering F1 Yaw, Pitch, and Roll Motorsport Engineering F1 The Seamless-Shift Gearbox Motorsport Engineering F1 The Differential and Cornering Motorsport Engineering F1 Pit Stop Engineering Motorsport Engineering NASCAR The Sequential Gearbox Motorsport Engineering NASCAR Pit Stops and the Single Lug Nut Motorsport Engineering Rally The Anti-Lag System Motorsport Engineering Rally Turbocharging and the Restrictor Motorsport Engineering Rally Differentials, Center, Front, and Rear Motorsport Engineering Rally Weight Transfer and the Scandinavian Flick Motorsport Engineering Rally The Hydraulic Handbrake Motorsport Engineering Rally Brake Bias and Left-Foot Braking Motorsport Engineering Formula E Torque and Instant Acceleration Motorsport Engineering MotoGP Counter-Steering Explained Motorsport Engineering MotoGP The Pneumatic-Valve Engine Motorsport Engineering MotoGP Seamless-Shift Gearbox Motorsport Engineering MotoGP Wheelie Control Motorsport Engineering MotoGP Chain Drive and Final Gearing Motorsport Engineering MotoGP Engine Braking Management Motorsport Engineering Land Speed Record Special Wheels for High Speed Motorsport Engineering Land Speed Record Solid Wheels Without Tires Motorsport Engineering Drag Racing The Slipper Clutch Motorsport Engineering Drag Racing The Burnout and Tire Warming Motorsport Engineering Drift Oversteer and Controlling the Slide Motorsport Engineering Drift The Limited-Slip Differential Motorsport Engineering Drift Steering Angle and Lock Kits Motorsport Engineering Drift Weight Transfer in Drifting Motorsport Engineering Drift The Handbrake Technique Motorsport Engineering Drift Counter-Steering in a Drift Motorsport Engineering Drift The Feint Technique Motorsport Engineering Karting Why Karts Have No Differential Motorsport 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Physics Why Does a Curveball Curve? Physics Why Do Skaters Spin Faster When They Pull In Their Arms? Earth Science Why Do We Have Seasons? Earth Science How Do Hurricanes Form? Earth Science Why Do Tornadoes Spin? Earth Science Why Are Summer Days Longer Than Winter Days? Earth Science Why Do We Have Tides?