The purpose of this experiment was to demonstrate the uncertainty of experimental measurements. The free-fall times of two metal balls of varying weight were measured. This data was used to calculate the best estimate of these measurements and its consi
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Experiment 3: Motion with Constant Acceleration Physics 1100-ETR6B: Professor Viraht Sahni 09/13/2011 Emily Callejo, Max Vlasyuk, and Aleksandr Bukhbinder Objective The purpose of this experiment was to demonstrate the uncertainty of experimental measurements. The free-fall times of two metal balls of varying weight were measured. This data was used to calculate the best estimate of these measurements and its consistency. Then, the acceleration due to gravity was determined using the data obtained. Procedure The heavier metal ball was used first. It was placed in the release mechanism of the electronic free-fall timer apparatus. The receptor plate was placed right below the release mechanism and the release mechanism was placed on the stand so that the measured distance from the top of the receptor pad to the bottom of the ball was the specified length given, which was 90 centimeters. Once the timer was set to zero, the ball was released by loosening the thumb screw to start the timer; the timer ended when the ball hit the pad.
. The percent error was calculated using experimental value attained from the graph as well. Data Table 1: Heavy Steal Ball Fall Time Trial # Time t(s) 1 0.4175 2 0.4335 3 0.4335 4 0.4212 5 0.4230 6 0.4355 7 0.4211 8 0.4215 9 0.4196 10 0.4181 11 0.4223 12 0.4409 13 0.4199 14 0.4236 15 0.4194 16 0.4172 17 0.4217 18 0.4252 19 0.4544 20 0.4193 Table 2: Heavy Ball Calculation Results Average Time (s) 0.43 Standard Deviation (s) 0.0096 Experimental Value of Free-Fall Time from 90 cm Distance (s) 0.43+0.0096=0.44 0.43-0.0096=0.42 Acceleration Due to Gravity (cm/s2) 997 1.63 Table 3: Heavy Ball # of Trials Vs. Time # of Trials Time t(s) 2 0.417 2 0.433 4 0.421 2 0.423 1 0.435 4 0.419 1 0.418 1 0.422 1 0.440 1 0.425 1 0.454 Table 4: Light Steal Ball Fall Time Trial # Time t(s) Average Time (s)
because the larger the angle, the more it resembles a motion of a free-falling object, which falls perpendicularly from the horizontal. Conclusion The motion of a puck sliding down an inclined plane, without air resistance, resembles a free-falling object and should have had a 9.80 m/s2 acceleration due to gravity. However, there were possibly two dominant sources of error in this experiment: the table was not completely level, which may have effected the motion and the velocity of the puck, and there was a lot of glare from the sunlight in the video, which made it difficult to see the dot in the middle of the puck. Therefore, there was random error due to the inaccuracy of the cursor tracking of the image of the middle of the puck. These were the probable causes of error in the experimental results. It can be concluded that the force acting upon the puck undergoing a two-dimensional projectile motion is gravity and its motion can be described in two different components independently, its horizontal and vertical motions. ?? ?? ?? ?? Callejo, Vlasyuk, Bukhbinder 6
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