Velocity, acceleration and jerk - Revision history

Mol: /* Introduction */

2020-10-24T15:37:17Z

Introduction

← Older revision		Revision as of 18:37, 24 October 2020
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	The Newton <math>F=ma</math> force rule states that force and acceleration are proportionally related. Is it possible to accelerate without noticing the jerk? The method is used in [https://en.wikipedia.org/wiki/Jerk_%28physics%29 elevators], for example, and hopefully in modern (electric) cars.		The Newton <math>F=ma</math> force rule states that force and acceleration are proportionally related. Is it possible to accelerate without noticing the jerk? The method is used in [https://en.wikipedia.org/wiki/Jerk_%28physics%29 elevators], for example, and hopefully in modern (electric) cars.

	We consider the acceleration the robot is subjected to while accelerating it using different acceleration functions. We use Vernier ACC-BTA (25g) sensor with both NXT Adapter and Labquest.		We consider the acceleration the robot is subjected to while accelerating it using different acceleration functions. We use Vernier ACC-BTA (25g) sensor with both NXT Adapter and Labquest, but you may use the accelerometer of your mobile phone, also.

Mol: /* Ev3dev */

2020-10-16T14:33:17Z

Ev3dev

← Older revision		Revision as of 17:33, 16 October 2020
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	The robot program code is still for a second, and then starts accelerating according to the velocity function. The recorded accelerations are logged into corresponding log files, and the next run is appended at the end of the file.		The robot program code is still for a second, and then starts accelerating according to the velocity function. The recorded accelerations are logged into corresponding log files, and the next run is appended at the end of the file.

	Note that while pressing ~~<code>~~F5~~</code>~~, the VS Code downloads the directory to the robot, and thus you might overwrite the log files. You may run the script from the brick or upload the log files to the computer in between, or you can upload the log files in a different directory.		Note that while pressing [[Install_ev3dev#Automated_launching\|F5]], the VS Code downloads the directory to the robot, and thus you might overwrite the log files. You may run the script from the brick or upload the log files to the computer in between, or you can upload the log files in a different directory.

	<syntaxhighlight lang="python">		<syntaxhighlight lang="python">

Mol: /* Exercises */

2020-10-10T13:49:29Z

Exercises

← Older revision		Revision as of 16:49, 10 October 2020
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	* Use the velocity function to integrate distance (use geogebra, or any other symbolic math program if you wish).		* Use the velocity function to integrate distance (use geogebra, or any other symbolic math program if you wish).
	* Change the script to run on a given distance instead of a time. Use the distance functions given above. Draw a line on floor and use color sensor to check the measurements and accuracy.		* Change the script to run on a given distance instead of a time. Use the distance functions given above. Draw a line on floor and use color sensor to check the measurements and accuracy.


			Back to [[Mahtavaa Matematiikkaa 2020]]

			[[File:Mahtavaa matematiikkaa.png\|thumb]]

Mol: /* Python */

2020-09-30T16:40:04Z

Python

@@ Line 183: / Line 183: @@
      else:
          return L*math.exp(-((t1-t)-a)**2/(4*a**2 - (t-t1)**2) )
 </syntaxhighlight>

Mol at 20:49, 29 September 2020

2020-09-29T20:49:33Z

← Older revision		Revision as of 23:49, 29 September 2020
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	</syntaxhighlight>		</syntaxhighlight>

	=== Analysis Scripts ===		=== Analysis and Analysis Scripts ===

	You can use almost any data analysis software, e.g. Geogebra or spreadsheet. The data on different runs is written after each other, and you might need to separate those by hand. We use a simple Python Pandas script, which is described at page [[Plot the acceleration]]. The data show on the images is smoothed using moving average of window size 50.		You can use almost any data analysis software, e.g. Geogebra or spreadsheet. The data on different runs is written after each other, and you might need to separate those by hand. We use a simple Python Pandas script, which is described at page [[Plot the acceleration]]. The data show on the images is smoothed using moving average of window size 50.

Mol: /* Analysis Scripts */

2020-09-29T20:48:37Z

Analysis Scripts

← Older revision		Revision as of 23:48, 29 September 2020
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	=== Analysis Scripts ===		=== Analysis Scripts ===

	~~[[File:linear~~.~~png\|thumb\|Acceleration from about 10~~ runs ~~using NXT Adapter]]~~		You can use almost any data analysis software, e.g. Geogebra or spreadsheet. The data on different runs is written after each other, and you might need to separate those by hand. We use a simple Python Pandas script, which is described at page [[Plot the acceleration]]. The data show on the images is smoothed using moving average of window size 50.
	[[~~File:sine.png\|thumb\|Acceleration from about 10 runs using NXT Adapter~~]]
	~~[[File:logistic~~.~~png\|thumb\|Acceleration from about 10 runs~~ using ~~NXT Adapter]]~~
	~~[[File:bumb~~.~~png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]~~


	<gallery>		<gallery>
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	</gallery>		</gallery>

	You can use almost any data analysis software, e.g. Geogebra or spreadsheet. The data on different runs is written after each other, and you might need to separate those by hand. We use a simple Python Pandas script, which is described at page [[Plot the acceleration]]. The data show on the images is smoothed using moving average of window size 50.

	Because the data is such bumby, we checked the acceleration using Vernier Labquest. The data is qualitative similar to those above. Also, the LabQuest data is smoothed using the same window of 50 time steps.		Because the data is such bumby, we checked the acceleration using Vernier Labquest. The data is qualitative similar to those above. Also, the LabQuest data is smoothed using the same window of 50 time steps.

	~~[[File:~~VernierLinear.png~~\|thumb~~\|Acceleration from 3 runs using LabQuest]]		<gallery>
	~~[[File:~~VernierSine.png~~\|thumb~~\|Acceleration from 3 runs using LabQuest]]		VernierLinear.png\|Acceleration from 3 runs using LabQuest
	~~[[File:~~VernierLog.png~~\|thumb~~\|Acceleration from 3 runs using LabQuest]]		VernierSine.png\|Acceleration from 3 runs using LabQuest
	~~[[File:~~VernierBumb.png~~\|thumb~~\|Acceleration from 3 runs using LabQuest]]		VernierLog.png\|Acceleration from 3 runs using LabQuest
			VernierBumb.png\|Acceleration from 3 runs using LabQuest
			</gallery>

	The images are below.		The images are below.

Mol: /* Analysis Scripts */

2020-09-29T20:47:24Z

Analysis Scripts

← Older revision		Revision as of 23:47, 29 September 2020
Line 239:		Line 239:
	[[File:logistic.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]		[[File:logistic.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]
	[[File:bumb.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]		[[File:bumb.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]


	<gallery>		<gallery>
	~~[[File:~~linear.png~~\|thumb~~\|Acceleration from about 10 runs using NXT Adapter]]		linear.png\|Acceleration from about 10 runs using NXT Adapter
	~~[[File:~~sine.png~~\|thumb~~\|Acceleration from about 10 runs using NXT Adapter]]		sine.png\|Acceleration from about 10 runs using NXT Adapter
	~~[[File:~~logistic.png~~\|thumb~~\|Acceleration from about 10 runs using NXT Adapter]]		logistic.png\|Acceleration from about 10 runs using NXT Adapter
	~~[[File:~~bumb.png~~\|thumb~~\|Acceleration from about 10 runs using NXT Adapter]]		bumb.png\|Acceleration from about 10 runs using NXT Adapter
	</gallery>		</gallery>

Mol: /* Analysis Scripts */

2020-09-29T20:46:17Z

Analysis Scripts

← Older revision		Revision as of 23:46, 29 September 2020
Line 239:		Line 239:
	[[File:logistic.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]		[[File:logistic.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]
	[[File:bumb.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]		[[File:bumb.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]

			<gallery>
			[[File:linear.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]
			[[File:sine.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]
			[[File:logistic.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]
			[[File:bumb.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]
			</gallery>

	You can use almost any data analysis software, e.g. Geogebra or spreadsheet. The data on different runs is written after each other, and you might need to separate those by hand. We use a simple Python Pandas script, which is described at page [[Plot the acceleration]]. The data show on the images is smoothed using moving average of window size 50.		You can use almost any data analysis software, e.g. Geogebra or spreadsheet. The data on different runs is written after each other, and you might need to separate those by hand. We use a simple Python Pandas script, which is described at page [[Plot the acceleration]]. The data show on the images is smoothed using moving average of window size 50.

Mol: /* Analysis Scripts */

2020-09-29T20:45:37Z

Analysis Scripts

← Older revision		Revision as of 23:45, 29 September 2020
Line 242:		Line 242:
	You can use almost any data analysis software, e.g. Geogebra or spreadsheet. The data on different runs is written after each other, and you might need to separate those by hand. We use a simple Python Pandas script, which is described at page [[Plot the acceleration]]. The data show on the images is smoothed using moving average of window size 50.		You can use almost any data analysis software, e.g. Geogebra or spreadsheet. The data on different runs is written after each other, and you might need to separate those by hand. We use a simple Python Pandas script, which is described at page [[Plot the acceleration]]. The data show on the images is smoothed using moving average of window size 50.

	Because the data is such bumby, we checked the acceleration using Vernier Labquest. The data is qualitative similar to those above.		Because the data is such bumby, we checked the acceleration using Vernier Labquest. The data is qualitative similar to those above. Also, the LabQuest data is smoothed using the same window of 50 time steps.

	[[File:VernierLinear.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierLinear.png\|thumb\|Acceleration from 3 runs using LabQuest]]

Mol: /* Analysis Scripts */

2020-09-29T20:44:54Z

Analysis Scripts

← Older revision		Revision as of 23:44, 29 September 2020
Line 246:		Line 246:
	[[File:VernierLinear.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierLinear.png\|thumb\|Acceleration from 3 runs using LabQuest]]
	[[File:VernierSine.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierSine.png\|thumb\|Acceleration from 3 runs using LabQuest]]
	[[File:~~VernierLogistic~~.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierLog.png\|thumb\|Acceleration from 3 runs using LabQuest]]
	[[File:VernierBumb.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierBumb.png\|thumb\|Acceleration from 3 runs using LabQuest]]

← Older revision		Revision as of 23:47, 29 September 2020
Line 239:		Line 239:
	[[File:logistic.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]		[[File:logistic.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]
	[[File:bumb.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]		[[File:bumb.png\|thumb\|Acceleration from about 10 runs using NXT Adapter]]


	<gallery>		<gallery>
	~~[[File:~~linear.png~~\|thumb~~\|Acceleration from about 10 runs using NXT Adapter]]		linear.png\|Acceleration from about 10 runs using NXT Adapter
	~~[[File:~~sine.png~~\|thumb~~\|Acceleration from about 10 runs using NXT Adapter]]		sine.png\|Acceleration from about 10 runs using NXT Adapter
	~~[[File:~~logistic.png~~\|thumb~~\|Acceleration from about 10 runs using NXT Adapter]]		logistic.png\|Acceleration from about 10 runs using NXT Adapter
	~~[[File:~~bumb.png~~\|thumb~~\|Acceleration from about 10 runs using NXT Adapter]]		bumb.png\|Acceleration from about 10 runs using NXT Adapter
	</gallery>		</gallery>

← Older revision		Revision as of 23:44, 29 September 2020
Line 246:		Line 246:
	[[File:VernierLinear.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierLinear.png\|thumb\|Acceleration from 3 runs using LabQuest]]
	[[File:VernierSine.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierSine.png\|thumb\|Acceleration from 3 runs using LabQuest]]
	[[File:~~VernierLogistic~~.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierLog.png\|thumb\|Acceleration from 3 runs using LabQuest]]
	[[File:VernierBumb.png\|thumb\|Acceleration from 3 runs using LabQuest]]		[[File:VernierBumb.png\|thumb\|Acceleration from 3 runs using LabQuest]]