# Analysis of Circular Motion

?ANALYSIS OF UNIFORM CIRCULAR MOTION
PURPOSE: To analyse the relationship between the frequency of a rotating object and its centripetal force, its weight and its radius in a circular path.
QUESTION: What is the relationship between the frequency of an object moving in a circular path and its mass, centripetal force, and the radius of such circular path? Would the magnitude of the frequency be proportional to the mass, centripetal force and radius of the object and its circular path respectively?
PREDICTION/HYPOTHESIS: The predictions for the relationship were as follows:
• The relationship between the different variables of the circular motion would be that of proportionality.
• The mass ofthe proposed object would be inversely proportional to the frequency of the object's revolutions.
• The centripetal force, which pulls the object towards the center causing its circular motion, would be directly proportional to the inverse of the frequency of the object's revolutions.
• The radius of the circular path that the object moves in would be inversely proportional to the frequency of the object's revolutions.
MATERIALS: The materials used in the experiment were:
Different masses (100g, 150g, and 200g)
PROCEDURE: The steps taken for the conduction of the experiment are as follows:
Experiment 1: Relationship between frequency and the centripetal force i.e. radius, velocity and mass are constant.
• Measure and record the mass of one stopper with the chemical balance before use in the experiment.
• Tie the stopper to a string with a length of approximately 1.5m.
• Insert a thin cylindrical PVC pipe at the other end of the string.
• Measure the distance between the centre of the stopper and the centre of the PVC pipe and adjust it to 75cm. i.e. radius=75cm.
• Attach a mass, M, of 100g to the B-end of the string.
• Measure a distance …

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