# Rotational motion Lab - Rotational Motion Objective The...

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Rotational Motion Objective The purpose of this experiment was to investigate the relationship between torque, angular acceleration, and moment of inertia for a rigid body rotating about a fixed axis. We also examined conservation of angular momentum. In order to examine the theory of the conservation of momentum (in this case, angular momentum), we used a rotary motion sensor, equipped with two pulleys with differing diameters, as well as a This week’s experiment is set up in order to quantify the theory of conservation of momentum, angular momentum in particular. We will be using a rotary motion sensor (RMS), which has a 3-step pulley with two brass weights of differing masses mounted to it. This apparatus allowed us to change the moment of inertia of the pulley as well as enabled us to test the numerous shapes of the objects and determine whether or not the theory is followed. Theory In order to derive the equation for a particle moving in a circle, it is important to consider a point mass m that moves in a circle of radius r. Its circular motion may speed up or slow down due to a net force of F acting on m, in accordance to Newton’s 2 nd law which states that F =ma (where a is the acceleration). For a convenient way to express this relationship at any instant of time, the equation can be written to express the direction of the velocity, or tangential to the circle at the point where the mass is. This way, the component of the force in that direction can be F