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Lab 6 write-up - Lab 6-Problem 1 Angular Speed and Linear...

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Lab 6-Problem 1: Angular Speed and Linear Speed Problem Description: Determining a method for calculating the linear speed of points on a beam that rotates on a central axis based on the distance they are from the center and the angular speed at which they are traveling. Prediction: Our resulting data after the experiment will back up our equations. First, we will solve for angular velocity. We then will be able to show the linear velocity of the ends of the beam can calculated from the angular speed of the beam and the distance from the end of the beam to the center by solving for the linear speed. To this we will need to combine separate equations for the horizontal motion and the vertical motion using the pythagorean theorem. Using derivative we can move from the positions equations to the velocity equations. We then can use the velocity to get the acceleration. The equations mention above can be found in the data section. Procedure: First we gained access to necessary materials, which include: beam and stand that allow the beam to rotate freely, computer with the Motion-Lab program, video camera w/stand, and a meter stick to measure the distance from the center to the ends of the beam. Then we set up the beam on its stand so that the path of the beams rotation was in the horizontal plane. We placed
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