Physics Lab 1

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Temple University *

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Aerospace Engineering

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Feb 20, 2024

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Lab 1: Motion in one dimension Name: Hardi Patel Group Members: Jessica Nguyen, Adele Herry Date submitted: 09/11/2022 Purpose: The purpose of this lab was to experimentally determine one-dimension motion concepts such as position, velocity, and acceleration manually and through the Capstone application. The lab was to teach and enhance knowledge and skills on familiar concepts in collecting and interpreting the results. Apparatus: Part 1: Nakamura timer, tape, Pasco motorized cart, metric ruler, pencil, scotch tape. Part 2: 2m PASCO ramp, PASCO smart cart Procedure: Part 1: Insert a 30 cm long tape through the timer. Set the timer to 10 Hz and turn it on to see the dots being made. Allowed the motorized cart to travel in six seconds, while a tape was inserted through the timer. Turn the timer and cart on and observe the consistent pattern being made on the tape. Part 2: Connect the smart car to the Capstone app on the desktop. Create a table in capstone and choose position, velocity, and acceleration.
On the graph, for the y-axis, select position. Add two another plot labeled velocity and acceleration. Recorded some trials by starting it on the computer and rolling the cart around. Once again recorded data by rolling the cart down a ramp. Scale the x-axis to show the region where the speed of the cart increased smoothly. Data: Part I: Velocity of the Cart in respect to Distance and Time Interval Number Time (s) Distance (m) Total distance (m) Instantaneous Speed (m/s) 1 0.1 0.006 0.006 0.06 2 0.2 0.005 0.011 0.05 3 0.3 0.006 0.017 0.06 4 0.4 0.007 0.024 0.07 5 0.5 0.005 0.029 0.05 6 0.6 0.006 0.035 0.06
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0 0.01 0.02 0.03 0.04 f(x) = 0.06 x − 0 Position vs. Time Time (s) Position (m) Part II: Column and Graph of Position, Velocity, and Acceleration of the smart car. Precautions: Making sure the measurements are taken to the nearest millimeter. Make sure the set-up is identical each time to eliminate other variables.
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View the track to make sure it is free of anything that may impact the speed. Make sure to match the correct ID number for the smart cart for correct data. Questions: 1. How can one find the pulling speed using the dots? Briefly describe using the definition of speed. Speed is the rate at an object, or a person can move at. An individual can find the pulling speed by measuring the dots on the ticker tape. You begin with measuring the distance from one dot to another. Take the distance and divide it by time, since it made 10 sparks per second. 2. Compare your two records of motion, the one done manually vs. that done by the cart. How can you determine whether the cart was moving at a constant speed? To determine if the cart was moving at a constant speed if the dots are spaced out equally and has a consistent pattern. When we do it manually, we tried to keep it at a constant speed; however, the numbers aren’t perfect as the instantaneous speed was around the same number but not fully constant. 3. Did the cart travel the same distance from one interval to the next? Yes, the cart did travel the same distance from one interval to the next as there was a consistent pattern made on the tape as answered in the above question; however, it was 4. Did the cart’s instantaneous speed change from one interval to the next? No, the instantaneous speed didn’t change much as it was going up and down by 0.001 or 0.002 m and staying around the same speed.
5. If an object moves at a constant speed, then its instantaneous speed at any given moment is the same as its average speed. Thinking about the speed of the cart during the entire 6- second trip, was the average speed equal to any interval ‘s instantaneous speed? Yes, the average speed was the same compared to the instantaneous speed. My instantaneous speed was around 0.030 m/s. 6. Is the slope value from the equation within about 10% of the value of average speed calculated in Step D? Would you expect these two values to be similar? Why or why not? No, the avg. speed wasn’t within about 10% of the slope. My slope was a little lower than what the average speed came up to be. My average total distance was 0.0203 m and that divided by 0.6 sec resulted in the average speed to 0.0338 m/s. 7. How can the trend of the data on the chart allow you to conclude whether you observed motion with constant speed? My trend of the data on the chart allows me to conclude that the object remains at constant speed because the graph going up exponentially shows that the cart was going at a constant speed. 8. Compare the trends in the data in your three plots. In which of the plots, position, velocity, or acceleration, does the value increase linearly with time? In which, if any, is the trend nonlinear? Did any of the plots show a constant value over time? The data for position and velocity does have a value that increases linearly with time; however, the acceleration value wasn’t increases linearly instead it was moving constantly over time. 9. How does one obtain the acceleration value from the linear fit of a graph of velocity vs time?
When the graph is perfectly straight, its constant and when there is a curve on the graph, then it’s exponential so it’s increasing exponentially. To find the acceleration, take two points from the trendline and divide the change in velocity by the change in time. 10. The fit line is a way of incorporating all data into a single best estimate of the acceleration. Let’s compare this to the instantaneous acceleration calculated at each moment. Look in the acceleration column your Capstone data table, these are the instantaneous acceleration values. How are the instantaneous acceleration values similar or different to the single acceleration value obtained from the best-fit line? The values of the instantaneous acceleration values are different from the single acceleration values obtained from the best-fit line. The reason for the difference is because the instantons acceleration is measured over short of time and in my case, it is 10 Hz compared to single acceleration value, which would give the acceleration of a certain point. Errors: One source of error was how the cart was stopped, the stopper at the end of the ruler was not tight enough to stop the car. For that reason, someone had to stop the car so it wouldn’t go off the ruler. Because of that, the times for it could be different and not fully accurate. Another source of error could be if the timer isn’t started or stopped at the correct time, which could cause an error in the data. Conclusion: The lab was completed and recorded the position of the sparks that were made on the tape as well the position, velocity, and acceleration of the smart car when it was pushed down the ramp. The data was graphed and the correlation between acceleration and velocity and time was found and recorded. In part 1, we saw constant velocity with the help of experimenting with
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the cart and timer to understand constant velocity. In part 2, we were able to observe constant acceleration with the help of the smart car going down the ramp. Through it, we got to understand that velocity and acceleration are directly proportional as they both increased as the cart was going down the ramp.