Constant Acceleration Lab
By: Jake Williams
Incline Plane Lab
Purpose:
The purpose of this lab is determine the acceleration and final velocity of a moving Pasco car down a track on a metal incline plane. After using two different methods to finding the acceleration, I will use the percent error formula and calculate the difference. Hopefully, finding the results very similar.
The purpose of this lab is determine the acceleration and final velocity of a moving Pasco car down a track on a metal incline plane. After using two different methods to finding the acceleration, I will use the percent error formula and calculate the difference. Hopefully, finding the results very similar.
Theory:
In order to determine the car's acceleration and final velocity, you have to use the kinematic equations. After that, I will use another method to find the car's acceleration and compare it to what I found with the kinematic equations. I will then use percent error to find how different they were compared. The goal is for the acceleration results to be as close as possible with very little error.
The kinematic equations being used to find acceleration and final velocity:
1. d=1/2(Vf+Vi)t
2. d=Vit + 1/2at^2
The second method formula being used to find acceleration: a=gSIN (acceleration=forcexSine)
Percent Error formula: % error= (acc-exp)/acc x 100%
In order to determine the car's acceleration and final velocity, you have to use the kinematic equations. After that, I will use another method to find the car's acceleration and compare it to what I found with the kinematic equations. I will then use percent error to find how different they were compared. The goal is for the acceleration results to be as close as possible with very little error.
The kinematic equations being used to find acceleration and final velocity:
1. d=1/2(Vf+Vi)t
2. d=Vit + 1/2at^2
The second method formula being used to find acceleration: a=gSIN (acceleration=forcexSine)
Percent Error formula: % error= (acc-exp)/acc x 100%
Experimental Technique:
Here below is what was used to conduct the experiment. An angle indicator, a metal incline plane, a pasco car, and the laptop to record the video of the car in motion.
Incline Plane and Pasco car:
Here below is what was used to conduct the experiment. An angle indicator, a metal incline plane, a pasco car, and the laptop to record the video of the car in motion.
Incline Plane and Pasco car:
Angle Indicator:
Data:
Here is the data that was collected before calculating and a small diagram to organize the data:
Angle of incline: 26.0 degrees
Total frames: 12 frames (30 frames per second)
Total Length: 28 cm
Here is the data that was collected before calculating and a small diagram to organize the data:
Angle of incline: 26.0 degrees
Total frames: 12 frames (30 frames per second)
Total Length: 28 cm
Distance measured:
Analysis:
Below is the step-by-step process to finding the time, final velocity, acceleration, second method acceleration, and percent error:
Below is the step-by-step process to finding the time, final velocity, acceleration, second method acceleration, and percent error:
Here is the video picture of the experiment of the car declining down the incline:
To begin the step-by-step process, I began with finding the time. If you slow the video down, you can count 12 frames. For Mac laptops, 1 second = 30 frames. After dividing 12 by 30, you get 0.4s:
I then chose to find final velocity. Here is the organized problem being solved to find final velocity equal to 1.4 m/s:
Once final velocity was found, I then organized another kinematic equation to find acceleration equaling out to 3.5 m/s squared. Here is the organized problem below:
Next, the second method of finding acceleration. This method of finding acceleration was discussed earlier in this page. This method produced an answer of 4.30 m/s squared. Here is the organized work from the formula to the answer:
To conclude the last step, I used the percent error formula to determine how far or how close the answers were similar to one another. The result came out to be -0.3% error. Here is the work from the formula to the answer (apologies if unable to make it out clearly. I tried my best to improve and correct it):
Conclusion:
After using the two kinematic equations and using some algebra to solve down to acceleration and final velocity, it concluded to be that the acceleration of the Pasco car was 3.5 m/s squared and that the final velocity came out to be 1.4 m/s. Once I plugged in 26.0 degrees into the second method equation listed in the analysis section, the percent error completed to be -23%. Ultimately, the goal of finding the acceleration, final velocity, and percent error was completed. Some errors could have contributed into conducting this experiment like recording the car declining down the plane at the wrong angle making an error of miscounting the amount of frames. This can be prevented by setting the camera directly next to the incline wear you are almost directly in line with the face of the plane. The weight of the car may affect the acceleration and final velocity drastically. This can be prevented by using no weights on the car at all times throughout the experiment, so the results can be more accurate.
After using the two kinematic equations and using some algebra to solve down to acceleration and final velocity, it concluded to be that the acceleration of the Pasco car was 3.5 m/s squared and that the final velocity came out to be 1.4 m/s. Once I plugged in 26.0 degrees into the second method equation listed in the analysis section, the percent error completed to be -23%. Ultimately, the goal of finding the acceleration, final velocity, and percent error was completed. Some errors could have contributed into conducting this experiment like recording the car declining down the plane at the wrong angle making an error of miscounting the amount of frames. This can be prevented by setting the camera directly next to the incline wear you are almost directly in line with the face of the plane. The weight of the car may affect the acceleration and final velocity drastically. This can be prevented by using no weights on the car at all times throughout the experiment, so the results can be more accurate.
References:
http://lahsphysics.weebly.com/constant-acceleration-lab.html
http://Devinsaysphysicsisaverb.weebly.com
http://fishingisphysics.weebly.com/
http://lahsphysics.weebly.com/constant-acceleration-lab.html
http://Devinsaysphysicsisaverb.weebly.com
http://fishingisphysics.weebly.com/
Falling Object Lab
By: Jake Williams
By: Jake Williams
Purpose:
The purpose is to determine the time of the billiard ball dropping from a typical physics classroom door. After finding time using the kinematic equations, I will use another kinematic equation to find acceleration and use the percent error formula to find the how far the experimental results were compared to the accepted value of the formula.
The purpose is to determine the time of the billiard ball dropping from a typical physics classroom door. After finding time using the kinematic equations, I will use another kinematic equation to find acceleration and use the percent error formula to find the how far the experimental results were compared to the accepted value of the formula.
Theory:
Once the height of the door is measured (which is 210.2 cm), I will drop the ball from the initial velocity mark which is the top of edge of the door that marks zero. Then, I will have an assistant to record a video of me dropping the ball from rest until it hits the floor which is the 210.2 cm mark. Since I do not know time, I will use the frames equation. Once that is found, I will use two different kinematic equations (shown below) but will be factored down to solve for other kinematic factors to find the final velocity and acceleration. After the acceleration is found, the equation a=gsinO will be used to determine the accepted value of acceleration. After that is determined, I will use the percent error formula (shown below) to find the difference between the experimental and accepted value of acceleration.
1. d = 1/2(Vf+Vi)t
2. Vf = Vi + at
The second method formula being used to find acceleration: a=gSIN (acceleration=forcexSine)
Percent Error formula: % error= (acc-exp)/acc x 100%
Once the height of the door is measured (which is 210.2 cm), I will drop the ball from the initial velocity mark which is the top of edge of the door that marks zero. Then, I will have an assistant to record a video of me dropping the ball from rest until it hits the floor which is the 210.2 cm mark. Since I do not know time, I will use the frames equation. Once that is found, I will use two different kinematic equations (shown below) but will be factored down to solve for other kinematic factors to find the final velocity and acceleration. After the acceleration is found, the equation a=gsinO will be used to determine the accepted value of acceleration. After that is determined, I will use the percent error formula (shown below) to find the difference between the experimental and accepted value of acceleration.
1. d = 1/2(Vf+Vi)t
2. Vf = Vi + at
The second method formula being used to find acceleration: a=gSIN (acceleration=forcexSine)
Percent Error formula: % error= (acc-exp)/acc x 100%
Experimental technique:
In order to conduct this experiment, I used a basic physics class room door, meter stick, Personal iphone to record a video, Billiard 8 ball, and some carpet mats to reduce noise production.
In order to conduct this experiment, I used a basic physics class room door, meter stick, Personal iphone to record a video, Billiard 8 ball, and some carpet mats to reduce noise production.
Data:
To start out with the information I have already found, I organized it into a table with a door that I drew and a label chart to go with it:
Length of the door: 210.2 cm
Initial Velocity: 0
To start out with the information I have already found, I organized it into a table with a door that I drew and a label chart to go with it:
Length of the door: 210.2 cm
Initial Velocity: 0
Analysis:
To start, I performed the experiment:
Next, I found the final velocity of 6.00571 m/s using one of the kinematic equations:
Once the final velocity was determined, I used another kinematic equation to find the acceleration of 8.580 m/s squared:
Since the acceleration was determined, I used the second method acceleration formula to find an acceleration of 1.462 m/s squared to use for the percent error formula:
Finally after calculating both acceceleration and second method acceleration, I then got to use the percent error formula to find the difference of -486.9%:
Conclusion:
This experiment is relatively similar to the last experiment of finding acceleration and final velocity of the pasco car, but instead of using the car, I used a billiard eight ball and door with a straight drop. Using a couple kinematic equations and some algebra to find the final velocity of 6.00571 m/s, I was then able to find the acceleration next. The acceleration came out to be 8.580 m/s squared. Once this was found, it can be plugged into the percent error formula, but I still need to use the second method formula to find the accepted value of acceleration. This acceleration came out to be 1.462 m/s squared. Finally, using the percent error formula, I plugged in both the accepted and experimental value to calculate out to -486.9%. Overall, I was able to find the acceleration and final velocity which was the original goal. The second goal was to find the percent error. It may have been a little higher than what I estimated it to be, but I am still satisfied with the results and it is sometimes tricky to find smallest difference possible. There may be some errors that could affect the experiment. From the top edge of the door to the bottom edge of the door was 210.8 cm. This could be a slight error because of the wear on the bottom or top edge of the door making the length slightly inaccurate. This can also affect the amount of frames that were used to determine the time. Another error was the inability to use a white background while dropping the ball from rest which makes the ball very hard to see since the ball was accelerating very fast. This could have been prevented we would have used a white sheet of paper behind the door we can see the black billiard ball falling, thus making more an accurate length and time. Overall, the experiment was a success.
References:
http://lahsphysics.weebly.com/constant-acceleration-lab.html
http://Devinsaysphysicsisaverb.weebly.com
http://fishingisphysics.weebly.com/