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Robert Bouthilet
Rjb2385
Partner: Wayne Choy
Experiment 5:
Motion Under a Central Force
Introduction
When an object moves around a fixed point of revolution that object experiences a central
force.
According to theory, if an object experiences a central force, then it will have a constant
angular momentum with respect to that fixed point unless it is acted upon by a torque.
Any force
that has to do with a center of rotation does not have torque. This theory of constant angular
momentum is related to Kepler’s Second Law.
According to Kepler, if an object experiences
constant angular momentum when rotating around a fixed point, then the radius of the object will
go over equal areas in equal time intervals.
When an object moves around a fixed point, the area
swept out by the radius is given by the formula A =
.
12θr2
In this experiment we will use an
air puck on an air table that will be attached to a fixed point and rotated around a fixed point.
Then we recorded the movement of the puck using a camera and by using the programs BTV Pro
and ImageJ we will be able to find the coordinates the puck goes through and therefore find the
area the puck makes.
When the area is plotted on a scatter plot, if it forms a straight line then the
air puck experiences constant angular momentum.
We predict that when we plot the area
covered by the puck, we will see a linear relationship and therefore prove that the puck
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 Fall '08
 Turner

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