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School

Utah Valley University *

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Course

2015

Subject

Mechanical Engineering

Date

Feb 20, 2024

Type

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Pages

1

Uploaded by EarlFangSparrow34

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Q4: Is the slope of the position graph (your answer to Q1) between the min and max? Tap or click on the File Menu icon in the top left of your screen and Export a CSV of your data. Open up the data you exported in MS Excel. We are going to test to see whether the accelerometer data is consistent with the position data. We could do this by numerically differentiating the position data, but numerical differentiation is unstable. (The Graphical Analysis software uses sophisticated methods to overcome this challenge.) However, numerical integration is stable, so we will instead numerically integrate the accelerometer data and compare that to the position data. You will need a column with the time, a column with the X-axis accelerometer data, a new column for calculated velocity, and a new column for calculated position. For the first row of data, where the time is zero, input a calculated velocity and a calculated position of 0. In the later columns for velocity, calculate the next cell down as the previous calculated velocity plus the previous acceleration times the “time step”. The time step is the sampling interval, or the difference in time from one row to the next. In the position column, calculate the position as the previous position plus the previous velocity times the “time step”. Copy these formulas all the way down. Create a plot of your calculated position vs time and on the same plot show the sensor position data vs time. Copy and paste your plot into your lab report. Q5: How well does your calculated position agree with the measured position? What do you think is the greatest source of any discrepancy between the two? Constant Acceleration Now we are going to try to create some motion with constant acceleration. We are going to use the spring- loaded plunger on the second cart to launch the first cart. 1. Attach the rubber stopper to the end of the cart by screwing it into the force sensor. 2. Place the track on the table and put a brick under one end so that the track is sloped. 3. Place the second cart (the one not connected to the Graphical Analysis program) on the lower end of the track, with the spring-loaded plunger pointing to the upper end of the track. 4. Depress the plunger until it locks into place. Place the original cart on the track so that the rubber stopper is resting against the plunger. 6. Tap or click on the “Position” button in the bottom right corner of the screen to bring up the Sensor Menu. Zero the sensor and turn on the “Reverse” option 7. Start a data collection by tapping or clicking on the “Collect” button. 8. When data starts to appear, press the dark gray button above the plunger. This will release the spring and launch the original cart forward up the track. 9. Continue to hold the second cart (the launcher). Wait until the first cart comes back down the track and the rubber stopper contacts the extended plunger. Then stop the data collection by tapping or clicking on the “Stop” button. o First, take a quick peek at a plot of the Position vs. time. To change what plot is displayed, tap or click on the y-axis label and toggle the columns to show the ones you want. Q6: What shape is the Position vs. Time curve, and what does this mean? PHYS2215 Velocity and Acceleration Lab Page 3
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