CentripetalAcceleration

# CentripetalAcceleration - CENTRIPETAL ACCELERATION...

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1 OBJECTIVE 1. To calculate the net force on an object moving in Uniform Circular Motion (UCM) and compare to the expected value. 2. Graphically calculate the mass of the object moving in Uniform Circular Motion (UCM) and compare with expected value. EQUIPMENT 1. centripetal force apparatus 2. set of masses and hanger 3. stopwatch 4. string 5. level 6. ruler THEORY A. Mass Rotating in Uniform Circular Motion Consider the Centripetal Force Apparatus below. The mass M bob is rotating in uniform circular motion about the vertical rod in a radius R. Diagram 1 CENTRIPETAL ACCELERATION

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2 Applying Newton’s 2 nd Law in the radial direction gives a net force in the radial direction given by net bob r FM a = where 2 r v a R = . The speed of the mass M bob is given by 2 R v T π = and thus 2 2 4 r R a T = . Therefore, 2 2 4 net bob R T = . B. Mass in Equilibrium Now let’s consider the case when the mass M bob is in equilibrium and the radius R is the same as it was when it was rotating in uniform circular motion.
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CentripetalAcceleration - CENTRIPETAL ACCELERATION...

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