Physics 4AL 2

Physics 4AL 2 - Physics 4AL Lab for Science and Engineering...

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Physics 4AL: Lab for Science and Engineering Mechanics Experiment # 2 : Lab Section: Name: UID: Date: TA: Partner: Lab Station:
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Theory and Procedure: The objective of this experiment is to measure the value of the acceleration due to gravity. In order to achieve this, we set up a system (figure 1) which incorporates two photogates, a transducer at the bottom, and a plastic marble, which will be dropped between the two photogates, and then land on the transducer. As the marble passes both photogates and the transducer, a signal is sent back to the computer. The computer receives these signals, and uses them to determine the time interval between photogate one and two, as well as the interval between photogate two and the transducer. When the marble enters the first photogate, the first time interval starts. Although the marble enters with velocity, the interaction at the first photogate represents the initial distance (d=0) and the initial time (t=0). When the marble reaches the second photogate, the first time interval ends. Using the equation… We substitute in the values from our experiment to make the equation read… Once the marble hits the transducer pad at the bottom, the second time intervals ends. Now, we re-write the above equation one more time to apply it to our experiment. The overall distance is equal to the distance between photogate one and two (d), as well as the distance between photogate 2 and the transducer pad (D). The overall time is equal to the time interval between photogate one and two (T1) as well as the time interval between photogate two and the transducer pad (T2). Thus, we get the equation… Now, in order to solve this equation for “g”, we need to do two more things. First we subtract the first distance equation from the second to get… Finally, we divide the first equation by T1, and then subtract that result from the above equation to eliminate the initial velocity term (Vo), since that term was never measured, and would only complicate the experiment. At last, we are left with the equation…
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Analysis : Before beginning to look at the data, there is an important issue that should be addressed first. Unlike other experiments, where there is a theoretical and experimental value, this experiment does not have an accurate theoretical value. Since gravity is dependent on the
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This note was uploaded on 04/08/2008 for the course PHYS 4AL taught by Professor Slater during the Fall '08 term at UCLA.

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Physics 4AL 2 - Physics 4AL Lab for Science and Engineering...

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