Centripetal Acceleration Lab
Abstract:
In this investigation, a mass was attached to a string and was swung horizontally for certain number of rotations (ten). The sole goal for this investigation was to find and verify the relationships between Centripetal Force, Frequency and Radius of circular path. In order to get relationships between the variables mentioned above, this experiment was divided into two parts. In Experiment A, the radius of the path (length of the string), along with the mass was kept constant, and the relation between centripetal force and square of frequency was determined. In Experiment B, the Centripetal force and the mass were kept constant, and the relationship between square of frequency and the Radius was determined. For Experiment A, the results showed that the relationship between the centripetal force and square frequency was linear, such that FC∝0.96f2. On the other hand, for experiment B, the results showed that the relationship between the radius and square of frequency is Inverse, such that 1r∝0.71f2.
Purpose:
The purpose of this part in the investigation was to verify the relationships between frequency, centripetal force and radius of rotation for an object moving in a horizontal circular motion.
Hypothesis:
Part A:
Assuming that the mass and the radius will be constant in this part of the experiment and considering the base theoretical expression FC=m4π2rf2, it can be stated that FC=kf2, where k is the combined value for all the constants in the expression. After analyzing the new equation, it can be stated that the centripetal force and square of frequency will have a linear relationship and will be directly proportional to each other. Moreover, to further classify the equation, value of constant should be found. An equation to represent constant would be k= m4π2r, after the mass and the radius is available, the value of k can be calculated using the equation mentioned.
Part B:
Assuming that the centripetal force and the mass will be
In this investigation, a mass was attached to a string and was swung horizontally for certain number of rotations (ten). The sole goal for this investigation was to find and verify the relationships between Centripetal Force, Frequency and Radius of circular path. In order to get relationships between the variables mentioned above, this experiment was divided into two parts. In Experiment A, the radius of the path (length of the string), along with the mass was kept constant, and the relation between centripetal force and square of frequency was determined. In Experiment B, the Centripetal force and the mass were kept constant, and the relationship between square of frequency and the Radius was determined. For Experiment A, the results showed that the relationship between the centripetal force and square frequency was linear, such that FC∝0.96f2. On the other hand, for experiment B, the results showed that the relationship between the radius and square of frequency is Inverse, such that 1r∝0.71f2.
Purpose:
The purpose of this part in the investigation was to verify the relationships between frequency, centripetal force and radius of rotation for an object moving in a horizontal circular motion.
Hypothesis:
Part A:
Assuming that the mass and the radius will be constant in this part of the experiment and considering the base theoretical expression FC=m4π2rf2, it can be stated that FC=kf2, where k is the combined value for all the constants in the expression. After analyzing the new equation, it can be stated that the centripetal force and square of frequency will have a linear relationship and will be directly proportional to each other. Moreover, to further classify the equation, value of constant should be found. An equation to represent constant would be k= m4π2r, after the mass and the radius is available, the value of k can be calculated using the equation mentioned.
Part B:
Assuming that the centripetal force and the mass will be
References: * http://www.calculatorsoup.com/calculators/algebra/percentagedifference.php * http://www.physicsforums.com/showthread.php?t=322249 * http://www.slideshare.net/wsautter/circular-motion-3163645 * http://aplusphysics.com/courses/regents/circmotion/regents-circular-motion.html