LabCentripetalAcceleration

LabCentripetalAcceleration - CENTRIPETAL ACCELERATION...

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1 OBJECTIVE To calculate the net force on an object moving in uniform circular motion and compare with the expected value. 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 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 = . CENTRIPETAL ACCELERATION

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2 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. If this is the case, then the tension force which equals the weight of the hanging mass W hanging , must be equal to the net force in the radial direction 2 2 4 net bob R FM T π = when the mass M bob was rotating in uniform circular motion. We will be comparing these two values taking W
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LabCentripetalAcceleration - CENTRIPETAL ACCELERATION...

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