Radius (meters) versus force(newtons). Thus, verifying theoretical expression for the force in terms of the
frequency of rotation, the radius of the path and the mass being held in the circular path. Possible
discrepencies in our data would be the vertical rod not being completely vertical, the radius not being
exactly balanced in part three, stopping the clock too early for the mean force, not reading the directions
carefully, not reading the results right, and rushing too much.
Questions:
1. Using words and a mathematical expression, describe the Relationship between the force and mass in
uniform circular motion.
Answer: The relationship between force and mass is a direct relationship, meaning that as mass increases
the force needed increases directly.
2. Using the words and a mathematical expression, describe the relationship between force and velocity in
uniform circular motion.
Answer: The relationship between force and velocity is squared. If the velocity is doubled, the force is
quadrupled.
3. Using words and a mathematical expression, describe the relationship between force and radius in
uniform circular motion.
Answer: The relationship between force and radius is an inversely direct relationship, so as radius increases
or decreases, the force does the opposite.
4. Combine the three relationships above to create one relationship between force and, mass, velocity, and
radius.
Answer: Force has a direct relationship with mass, a squared relation with velocity and an inverse
relationship with radius.
5. How would you convert this expression into an equation?
Answer:
6. What is the constant of proportionality for this equation? Explain.
Answer: The constant for this equation is the mass, mass cannot be changed easily while the object is in
motion, and is the only constant. Radius of the motion can be changed easily and velocity is also easy to
change.
7. How could such an equation be used?
Answer: This equation could be used to find the acceleration of an object as it moves in circular motion.
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View Full Document8: The figure below is an overhead view of the rotating mass. For each four points, draw the direction and
relative magnitude of the force.
Answer: The direction of the force is inward towards the center of the circle at all four points.
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 Fall '11
 BrunoBauer
 Physics, Circular Motion, Force, Mass, Rotation, Velocity, power supply

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