Uniform circular motion radius

In summary, the conversation discusses the relationship between frequency and radius, mass, and tension force in uniform circular motion. The speaker conducted a lab where they measured the time for 10 cycles of a rubber stopper and masses spinning overhead on a string. They determined that frequency is proportional to 1/(root(radius)), 1/(root(mass)), and root(tension force) from graphing. The overall equation for this relationship is sumF = 4pi^2mrf^2. The basis of these calculations is the theory of uniform circular motion.
  • #1
ys2050
18
0
In uniform circular motion, how is frequency proportional to:
radius
mass
tension force?

We did a lab where we connected rubber stoppers on one side of the string and masses to the other and spun it overhead and measured time taken for 10 cycles.
I came up with:
frequency is proportional to 1/(root(radius))
frequency is proportional to 1/(root(mass))
frequency is proportional to root(tension force)
from graphing... but I'm not sure if these are right...

I have to combine the three proportionality statements to get this equation:
sumF = 4pi^2mrf^2

Please help me~~~ T.T
 
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  • #2
What was the basis of the above calculations...i mean the theory.
 

FAQ: Uniform circular motion radius

What is uniform circular motion radius?

Uniform circular motion radius refers to the distance from the center of a circle to the edge of the circle, where an object is moving at a constant speed around the circle.

How is uniform circular motion radius related to centripetal force?

The uniform circular motion radius is directly related to centripetal force, as it is the distance at which the force is applied to keep the object moving in a circular path. The larger the radius, the less force is needed to maintain the motion.

What is the formula for calculating uniform circular motion radius?

The formula for uniform circular motion radius is r = v^2/a, where r is the radius, v is the speed of the object, and a is the centripetal acceleration. This formula can also be rearranged to find the speed or acceleration given the radius.

Does the mass of an object affect the uniform circular motion radius?

No, the mass of an object does not affect the uniform circular motion radius. The radius is only dependent on the speed and centripetal acceleration of the object, not its mass.

How does the uniform circular motion radius change if the speed of the object changes?

If the speed of the object increases, the uniform circular motion radius will also increase. This is because a larger radius is needed to maintain the same centripetal force on the object at a higher speed. Conversely, if the speed decreases, the radius will also decrease.

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