Lab Report GRAPHING ACCELERATION(1)

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Life Chiropractic College West *

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MECHANICS

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Physics

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Apr 3, 2024

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docx

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8

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Lab Report: Graphing Accelerated Motion DALTON RIOS Purpose Alright, dudes, the deal is to create and read graphs of objects with acceleration, ya know? We're gonna be watchin' this ball rollin' down ramps at different angles and studyin' its position, velocity, and acceleration data over time. Time to ride the motion waves, brah! Introduction Dude, acceleration, it's like a totally essential concept in physics, man! It's all about how an object's velocity changes over time. Picture this, like when you're cruisin' down a highway, your car usually stays at a steady speed, right? But when you hit that gas pedal to enter the highway, boom, you gotta accelerate to reach those highway speeds. And check it, when you're ridin' your bike, you might slow down while pedaling uphill, but then you speed up big time when you ride down, bro! That's what we call different types of acceleration. Now, here's the deal. In this gnarly lab, we're gonna focus on the acceleration of a ball rollin' down a ramp, dude! We're talkin' about the motion limited to the surface of the ramp, and we'll measure the distance of the ball from the bottom of the ramp. You can think of it as the length along the ramp surface, or you know, like the hypotenuse of a triangle. To catch this radical action, we're gonna use virtual physics simulation, man! We'll be collectin' data on the ball's position, velocity, and acceleration over time as it rides down ramps with angles of 30°, 45°, and 60°. So, let's ride those physics waves and get ready for some serious motion madness, brah! Experimental Procedure Step 1: Fire up Virtual Physics and choose "Graphing Accelerated Motion" from the list of assignments. The lab will open in the Mechanics laboratory. Step 2: You'll find a ball on a ramp set at a 30° angle. Click the red Recording button to start collecting data. Then, click Start to let the ball roll down the ramp. Watch what goes down as the ball reaches the end of the ramp. A link
will pop up in the Lab Book with the position, velocity, and acceleration data for the ball's journey down the ramp. Step 3: Hit the Reset button to move the ball back to the top of the ramp. Get ready for some fun! Adjust the ramp's angle to 45° using the Parameters Palette, and repeat Step 2 to collect data for the ball rolling down the 45° ramp. Step 4: Get ready for one more ride! It's time to crank it up to 60°! Repeat the experiment with the ramp at this steep angle. Boom, now you'll have three data links in your lab book. For extra style, double click beside each link to label 'em with the ramp angle. Data and Results We got some sick data tables for each ramp, check it out: Data Table for Ball Rolling Down a 30° Ramp T (sec) X (m) Y (m) Vtot (m/s) β (rad) atot (m/s²) Ptot (kg m/s) vrot (rad/s) arot (rad/s²) 0.000 - 43.3013 25.000 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.129 - 43.2659 24.979 6 0.6325 5.7596 4.9033 6.3253 0.0000 0.0000 0.252 - 43.1664 24.922 2 1.2356 5.7596 4.9033 12.3564 0.0000 0.0000 ... ... ... ... ... ... ... ... ... 4.517 -0.0000 0.0000 22.1435 5.7596 4.9033 221.4345 0.0000 0.0000 Data Table for Ball Rolling Down a 45° Ramp
T (sec) X (m) Y (m) Vtot (m/s) β (rad) atot (m/s²) Ptot (kg m/s) vrot (rad/s) arot (rad/s²) 0.000 - 35.3553 35.355 3 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.117 - 35.3218 35.321 8 0.8113 5.4978 6.9343 8.1132 0.0000 0.0000 0.239 - 35.2153 35.215 3 1.6573 5.4978 6.9343 16.5731 0.0000 0.0000 ... ... ... ... ... ... ... ... ... 4.517 -0.0000 0.0000 22.1435 5.4978 6.9343 263.3315 0.0000 0.0000 Data Table for Ball Rolling Down a 60° Ramp T (sec) X (m) Y (m) Vtot (m/s) β (rad) atot (m/s²) Ptot (kg m/s) vrot (rad/s) arot (rad/s²) 0.000 - 25.0000 43.301 3 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.116 - 24.9714 43.251 8 0.9852 5.2360 8.4928 9.8517 0.0000 0.0000 0.237 - 24.8807 43.094 7 2.0128 5.2360 8.4928 20.1280 0.0000 0.0000 ... ... ... ... ... ... ... ... ... 3.432 -0.0000 0.0000 29.1424 5.2360 8.4928 291.4242 0.0000 0.0000 Analysis
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From the data tables, we can observe the position, velocity, and acceleration of the ball as it rolls down ramps at different angles. The velocity and acceleration increase as the ball rolls down the ramp, reaching maximum values at the bottom. Discussion Acceleration, man, it's like a core concept in physics, dude! Picture this: when you're cruisin' down that highway, your car keeps steady at a chill speed. But when you hit that gas pedal to enter the highway, boom, you gotta accelerate to reach those crazy highway speeds! And on a bike, you might slow down while pedalin' uphill, but then you speed up big time when you ride down, bro! That's what we call different types of acceleration, man. So, here's the deal. This gnarly lab focused on this ball rollin' down a ramp, dude! We're talkin' about the motion limited to the ramp's surface, and we measured the distance from the bottom of the ramp, bro. Think of it like the hypotenuse of a triangle, man! And we used that epic virtual physics simulation to collect data on the ball's position, velocity, and acceleration over time as it rode down ramps at 30°, 45°, and 60° angles. Time to catch those physics waves and get ready for some motion madness, man! In the experiment, we fired up Virtual Physics and chose "Graphing Accelerated Motion" from the list of assignments. The lab opened up in the rad Mechanics laboratory, bro. We found a ball chillin' on a 30° ramp and clicked the red Recording button to start collectin' data. Hit Start, and boom! The ball rolled down, and we saw what went down as it hit the end of the ramp. A link popped up in the Lab Book with data on position, velocity, and acceleration over time, man. For extra fun, we hit the Reset button to move the ball back up the ramp and adjusted the ramp's angle to 45° using the Parameters Palette. Then, we repeated the data collection for the 45° ramp, bro. One more ride to go, we cranked it up to 60° and rocked the experiment with that steep ramp, man. Now, we had three rad data links in our lab book, and we double-clicked beside each link to label 'em with the ramp angle. We got some sick data tables, bros! From those tables, we could totally see how the ball's movin' down those ramps. The velocity and acceleration kept climbin', hittin' the max at the bottom, man. In conclusion, this lab was totally epic! We gained serious insights into how a ball rolls down ramps at different angles, man. That virtual physics simulation and data collection were the bomb, dude! We had a blast analyzing the position, velocity, and acceleration data for each ramp angle.
Check this out, bros! The experiment nailed it! We saw how the ball's acceleration changed as the ramp angle went wild. When it rode down steeper ramps, its velocity and acceleration went off the charts, man! It's like the principles of accelerated motion in physics were right on point! This whole experience gave us a practical and visual understanding of acceleration in motion, dudes. And those graphs, man, they were the key to unlocking the secrets of the ball's rad journey down the ramps. So, let's keep ridin' those physics waves and groovin' with the motion data, bros! Conclusion Dude, this lab was totally epic! We got some serious insights into how a ball rolls down ramps at different angles, man. Thanks to that virtual physics simulation and rad data collection, we had a blast analyzing the position, velocity, and acceleration data for each ramp angle. And check this out, bro! The experiment totally nailed it! We saw how the ball's acceleration changed as the ramp angle went wild. When it rode down steeper ramps, its velocity and acceleration went off the charts, dude! It's like the principles of accelerated motion in physics were right on point! This whole experience gave us a practical and visual understanding of acceleration in motion, dude. And those graphs, man, they were the key to unlocking the secrets of the ball's rad journey down the ramps. So, let's hit those physics waves and keep on groovin' with the motion data, bros! Cowabunga! 🤙 References https://stickmanphysics.com/stickman-physics-home/one-dimensional- motion/physics-motion-graphs/ Please note that the data in the data tables is rounded to four decimal places for the sake of brevity.
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