Lab 8: Demonstration - Centripetal Acceleration vs. angular frequency
Author: Tian Cih Jiao
Lab Partners: Weisheng Zhang, Kitarou
Date: March 31, 2017
Purpose of the lab: To determine the relationship between centripetal force and angular speed
Theory/Introduction:
To establish a relationship between centripetal force and angular speed, we first look into the function of position in terms of time. We get the function of velocity by doing the first derivative and the function of acceleration by doing the second derivative. By plugging the first equation into the acceleration one, we get a = -w^2 * r(vector), F = mwr^2.
Summary of apparatus/experimental procedure:
In this lab, we controlled many variables (mass, radius, and power) to see the change of Force.
Measured data:
Analysis:
Controlled mass, we get this graph. The slope is 0.2224 which is very close to the mass of object which is 0.2 kg.
Controlled radius, then w should be constant, but it isn't, and mass should be vary.
r = 0.47m, slope = 0.4636.
r and w are constant, mass vary.
rw^2 = 0.004193, the slope = 0.004287
Mass and radius are constant, w vary.
mr = 0.078, slope = 0.08829
Mass and w are constant, r vary.
mw^2 = 0.0338, slope = 0.02936.
Conclusion:
Friction between the motor and the disk is one of the possible sources of error.
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