Uniform Circular Motion

 

Uniform Circular Motion

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Dynamics of uniform circular motion; motion in a vertical circle, with example; conical pendulum, with examples.

Centripetal acceleration of a puck moving in a circle.

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Speed and acceleration of an object moving in a circle of constant radius.

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Tension of a string holding a stone moving in a vertical circular path.

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Period of a rotating disc attached to a spring.

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Circular Motion

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Uniform circular motion; centripetal acceleration; non-uniform circular motion; reference frames; relativity of motion; problem-solving strategy for relative velocities with examples.

Speed of an object with a constantly changing velocity vector.

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Position and displacement of object in circular orbit; magnitude of displacement; magnitude of velocity and angular velocity; direction of velocity; tangential acceleration defined; uniform circular motion; period and frequency of orbit.

Summary of circular motion, with equations; circular motion vector description, with equations; circular motion modeling problems; analysis of acceleration in circular motion.

Angular velocity of two bugs on a merry-go-round.

Linear acceleration of a bug on a merry-go-round.

Tangential acceleration of a bug on a merry-go-round.

Acceleration of ice sliding in a bowl.

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Angular Momentum

Parallel-axis theorem, with example; perpendicular-axis theorem, with examples; definition of angular momentum of a particle; definition of central forces; angular momentum of a particle moving in a straight line; angular momentum of a particle in uniform circular motion; angular momentum of a conical pendulum.

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Projectile and Circular Motion

Projectile motion equations; circular motion equations; centripetal acceleration, with equation; imensional analysis method.

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Circular Dynamics Review

Position vector of circular orbit; angular velocity and tangential velocity; radial acceleration; uniform circular motion; non-uniform circular motion; comparison of linear and circular motion at constant acceleration; problem solving strategy involving circular motion.

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Rotational Kinematics Review

Fixed axis rotational kinematics, with definitions of angular velocity, angular acceleration, tangential velocity, tangential acceleration, and radial acceleration.

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Model Airplane on a Wire

3-part problem; calculating tension in wire, critical angle, and safe speed for flight.

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Sliding Bead on Wire

3-part problem; finding normal force from wire and height the bead attains on the way back up.

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Circular Motion with Gravity

Forces and acceleration of objects moving in vertical circular paths.

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Angular Speed

Relative angular speed of two objects at different points on a merry-go-round.

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Whirling Objects

Forces acting on two bodies rotating around a shaft with constant angular velocity.

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Circular Motion Inside a Cone

Motion of an object in a circular orbit along the inside of a cone.

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Car on a Banked Turn

Finding velocity needed to keep a car from slipping on a banked turn.

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U-Control Model Airplane

Motion of a plane tethered to a fixed point.

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Circular Motion and Conservation of Mechanical Energy

Motion of an object along a frictionless loop-the-loop track.

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Beads Sliding Along a Ring

Forces acting on a suspended ring with sliding beads.

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Circular Motion and Reference Frames

Motion of a ball thrown from a merry-go-round.

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Centripetal Force and Friction

Minimum angular speed required for "barrel of fun."

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Non-Uniform Circular Motion

Speed of an object moving in a circular path with non-uniform acceleration.

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Accelerating Circular Motion

Direction of acceleration vector for object in circular motion with increasing speed.

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Centripetal Force

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Forces acting on a passenger in a car navigating a circular turn.

Source of centripetal force for a ball moving on turning truck bed.

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Centripetal Acceleration

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Forces capable of producing centripetal acceleration.

Acceleration of a puck moving in a uniform circle on a table.

Acceleration of a puck moving in a uniform circle on a table with a shorter lever arm.

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Car Wreck

Determining spinning motion of a wrecked car.

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Vertical Circular Motion

Tension in a string holding a ball being swung in a vertical circle.

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Bicycle Tire

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Speed of a point on the outside of a tire in relation to the speed of the center of mass.

Relative speeds of points on the outside of a rolling tire.

Direction of motion of points on the outside of a rolling tire.

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Turntable

Forces acting on a cube lying on a spinning turntable.

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Spinning Ball

Tension in strings suspending a ball from a spinning vertical rod.

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Rolling and Work

Work done on a ball rolling in a spiral path along the inside of a hollow cylinder.

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Experiment 4 Pre-Lab

Finding the spring constant of a spring; finding the radius of an object in uniform circular motion.

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Rotational Kinematics

Velocity and centripetal acceleration of a person on the Earth's surface.

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Banked Turn

Motion of a car traversing a banked circular turn.

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Tetherball

Motion of a ball suspended from a string and travelling in a vertical circle.

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Circular Racetrack

Maximum speed before skidding for car on frictional track for two different masses; Angular velocity.

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Circular Motion of a Car

Motion of a car driving along the inside of a hollow cone.

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Spinning Rod and Mass

Dynamics of a system of a mass suspended from a vertical spinning rod by a string and pulley.

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Equilibrium of a Runner

Forces and torques acting on a runner rounding a circular track.

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Circular Motion in a Cone

4-part problem; drawing free-body diagram and finding v, T for object; maximum speed with friction.

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Experimental Centripetal Force

Finding ω, T, f for nut revolving around axis on end of a rubber band.

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Ball in a Vertical Circle

Speed and tension at the top of the circle for ball swinging around.

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Marooned on an Asteroid

4-part problem; finding compression necessary to launch pen into orbit; speed and radius in orbit.

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Water Bucket

Motion of a water bucket spun in a vertical circle.

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Conservation of Energy

Kinematics and dynamics of a tethered ball traveling in a vertical circle.

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