Purpose Use the principle of conservation of energy to verify that gravitational potential energy can be converted into rotational kinetic energy and linear.

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Presentation transcript:

Purpose Use the principle of conservation of energy to verify that gravitational potential energy can be converted into rotational kinetic energy and linear kinetic energy in a simple experiment. Use the principle of conservation of momentum to explain transfer of momentum during a collision of rotating bodies. Use the principle of conservation of momentum to explain how changing the shape of a rotating body affects the rotational velocity.

Equivalent quantities in linear versus rotational motion Linear Motion Rotational Motion Mass (m) Moment of Inertia (I) Distance (x) Angle (Ɵ) Velocity (v) Angular Velocity (ω) Acceleration (a) Angular Acceleration (α) Momentum (p = mv) Angular Momentum (L = Iω)

Type Linear Motion Rotational Motion Force Position Velocity Momentum

Activity I: Rotating Bodies and Conservation of Energy Setup: As hanging mass drops, the plate starts to rotate faster and faster. Task: Design an experiment to determine whether total energy is conserved. Important: Take into account all types of energy you can think of that are relevant here.

Note that the “Smart Pulley” (circled below) measures its own angular velocity, which is NOT the same as that of the platter. The “Smart Pulley’s” angular velocity and the platter’s angular velocity are related. You need to find this relationship.

Activity II: Collision Between Rotating Bodies Setup: Main platter rotates, auxiliary platter is dropped on top of main platter Task: Design an experiment to determine whether total angular momentum is conserved. Important: You need to turn the main platter upside down as shown in the diagram.

Activity III: The Spinning “Ice Skater” Setup: U-channel placed on top of platter. Movable weights (little carts with wheels) can be pulled Inwards by a thread. Task: Test conservation of angular Momentum as carts are pulled in. Hint: Threads must be routed through holes on the side of the spindle and come out on the top of the spindle, where you can pull on them upwards.

Correction in Lab Manual A few equations did not print out correctly in your manual on pages 80 and 81. Please complete them as follows: