Measuring Circular Motion
A Scientific Investigation
Conducted by DJ Hadoken
Objective:
To find the force and acceleration of an object in circular motion with varying radii.
Hypothesis:
The imaginary graph of centripetal force vs centripetal acceleration will show a linear relationship.
Materials:
A. Stopwatch
B. Circular motion machine
C. Pencil
D. String
E. Weights
F. Calculator
G. Paper
Procedures:
1) Choose first radius to measure.
2) When chosen, attach one weight and rotate the circular motion mechanism to find the period for 10 rotations.
3) Repeat two more times for same radius and find the average of T.
4) Repeat steps 2 and 3 for two more radii and two different weights.
5) Obtain velocity for each radii using V=(2(pi)(r))/T
6) Use V to find centripetal acceleration using ac=V^2/R
7) Obtain centripetal force by using Fc=(m)(v^2/r)
Conclusion:
The hypothesis that the graph (which you must imagine for yourself) of centripetal force vs centripetal acceleration would appear linear was correct.
As the radius was increased, the period, T, also increased. Velocity and acceleration also increased with a larger radius. The graph shows that there is a relationship between force and acceleration, which, as the force was increased, the acceleration also increased.
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