Liquid Pressure Variation with Depth - Revision history

Ist165721: Text replacement - "\[" to " $"$

2015-05-24T19:10:36Z Text replacement - "\[" to "<math>"

Ist165721: Text replacement - "\]" to ""

2015-05-24T18:58:00Z

Text replacement - "\]" to "</math>"

Ist165721 at 09:57, 18 May 2015

2015-05-18T09:57:17Z

Ist165721 at 10:44, 28 October 2013

2013-10-28T10:44:10Z

Ist128595 at 22:03, 16 October 2013

2013-10-16T22:03:24Z

Ist128595 at 22:00, 16 October 2013

2013-10-16T22:00:29Z

Ist128595 at 21:52, 16 October 2013

2013-10-16T21:52:34Z

Ist165721 at 10:58, 21 April 2013

2013-04-21T10:58:09Z

Ist165721 at 16:58, 21 March 2013

2013-03-21T16:58:00Z

Ist167944: /* Description of the Experiment */

2012-11-11T12:19:20Z

Description of the Experiment

@@ Line 34: / Line 34: @@
 Afterwards, the data can be fitted to the following equation, and from that, the density of the various liquids can be determined.
-\[
+<math>
 p(h) = p_0 + \rho g h
 </math>
@@ Line 64: / Line 64: @@
 The pressure exerted by a liquid is proportional to the weight of the fluid column, meaning that it depends not only on depth but also on density. This can be determined through the relation between pressure and depth. This relation can be expressed mathematically by:
-\[
+<math>
 p = p_0 + \rho g h
 </math>

@@ Line 36: / Line 36: @@
 \[
 p(h) = p_0 + \rho g h
-\]
+</math>
 If multiple runs are made (with different starting and ending points), the experimental error will be lower.
@@ Line 66: / Line 66: @@
 \[
 p = p_0 + \rho g h
-\]
+</math>
 where \( p_0 \) represents the pressure at the liquid's surface and \( \rho = m/V\) it's density, being <i>g</i> the local gravity acceleration and <i>h</i> the depth.

@@ Line 24: / Line 24: @@
 In this experiment, there are four acrylic tubes with a diameter of thirty millimiters and one meter long. Each tube is filled with a different liquid: distilled water, salt water, glycerin and vegetable oil. Inside each tube there is a bell with an air bubble that allows pressure to be measured through a flexible tube, which is attached to a pressure sensor located outside the liquid.
-The change in volume can be estimated considering that each bell has a volume of approximately \( 2 cm^3 \). The hose has a cross-section of \(1 mm\) and a length of \(1 m\), but it can  easily be ignored.
+The change in volume can be estimated considering that each bell has a volume of approximately \( 2 cm^3 \). The hose has a cross-section of <math>1 mm</math> and a length of \(1 m\), but it can  easily be ignored.
 <!-- (why?)(because the hose's volume doesn't change significantly with the change in pressure?). -->

← Older revision		Revision as of 10:44, 28 October 2013
Line 1:		Line 1:
−	===Description of the Experiment===	+	=Description of the Experiment=
	In this experiment, we study the density of four different liquids by taking into account that pressure variation with depth depends on it.		In this experiment, we study the density of four different liquids by taking into account that pressure variation with depth depends on it.

@@ Line 27: / Line 27: @@
 <!-- (why?)(because the hose's volume doesn't change significantly with the change in pressure?). -->
-The tubes are mounted vertically, and the four probes move simultaneously as established by the configuration chosen. The latter pause for a second at each measuring point to allow the pressure to stabilize before measuring. The experiment will take longer if the user requests many points.
+The tubes are mounted vertically, and the four probes move simultaneously as established by the configuration chosen. The latter pauses for a second at each measuring point to allow the pressure to stabilize before measuring. The experiment will take longer if the user requests many points.
 =Protocol=
-The user must define the maximum and minimum height, as well as the number of samples to take across the path. This means that he can choose the initial and final depth of the probe's motion and obtain the data (for each liquid) on the variation of the pressure as depth changes.
+The user must define the maximum and minimum height, as well as the number of samples to take across the path. This means that he can choose the initial and final depth of the probe's motion and obtain the data (each liquid's) on the variation of the pressure as depth changes.
 Afterwards, the data can be fitted to the following equation, and from that, the density of the various liquids can be determined.

@@ Line 22: / Line 22: @@
 [[File:Hidroestatica-montagem.jpg|thumb|Photo of the four tubes used in this experiment.]]
-In this experiment, there are four acrylic tubes with a diameter of thirty millimiters and a meter in length. Each tube is filled with a different liquid: distilled water, salt water, glycerin and vegetable oil. Inside each of these tubes there is a bell with an air bubble that allows pressure to be measured through a flexible tube, which is attached to a pressure sensor located on the outside of the liquid.
+In this experiment, there are four acrylic tubes with a diameter of thirty millimiters and one meter long. Each tube is filled with a different liquid: distilled water, salt water, glycerin and vegetable oil. Inside each tube there is a bell with an air bubble that allows pressure to be measured through a flexible tube, which is attached to a pressure sensor located outside the liquid.
-The change in volume can be estimated considering that each bell has a volume of approximately \( 2 cm^3 \). The hose has a cross-section of \(1 mm\) and a length of \(1 m\), but can be easily ignored.
+The change in volume can be estimated considering that each bell has a volume of approximately \( 2 cm^3 \). The hose has a cross-section of \(1 mm\) and a length of \(1 m\), but it can  easily be ignored.
 <!-- (why?)(because the hose's volume doesn't change significantly with the change in pressure?). -->
-The tubes are mounted vertically, and the four probes move simultaneously as established by the configuration chosen. The latter pause for a second at each measuring point to allow the pressure to stabilize before measuring. This will make the experiment take longer if the user requests many points.
+The tubes are mounted vertically, and the four probes move simultaneously as established by the configuration chosen. The latter pause for a second at each measuring point to allow the pressure to stabilize before measuring. The experiment will take longer if the user requests many points.
 =Protocol=
-The user must define the maximum and minimum height, as well as the number of samples to take across the path. This means that he can choose the initial and final depth for the probe's motion and obtain the data (for each liquid) on the variation of the pressure as the depth changes.
+The user must define the maximum and minimum height, as well as the number of samples to take across the path. This means that he can choose the initial and final depth of the probe's motion and obtain the data (for each liquid) on the variation of the pressure as depth changes.
 Afterwards, the data can be fitted to the following equation, and from that, the density of the various liquids can be determined.
@@ Line 40: / Line 40: @@
 If multiple runs are made (with different starting and ending points), the experimental error will be lower.
-The following table shows the accepted values for the four liquid's density.
+The following table shows the four liquid's density accepted values.
 {| border="1"

← Older revision		Revision as of 21:52, 16 October 2013
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	===Description of the Experiment===		===Description of the Experiment===
−	In this experiment, we study the density of four different liquids by taking into ~~consideration~~ that pressure variation with depth depends on it.	+	In this experiment, we study the density of four different liquids by taking into account that pressure variation with depth depends on it.

@@ Line 3: / Line 3: @@
-<div class="toccolours mw-collapsible mw-collapsed" style="width:300px">
+<div class="toccolours mw-collapsible mw-collapsed" style="width:420px">
 '''Links'''
 <div class="mw-collapsible-content">

@@ Line 1: / Line 1: @@
 ===Description of the Experiment===
-In this experiment, we determine the density of four different liquids taking into consideration that pressure variation with depth depends on it.
+In this experiment, we study the density of four different liquids by taking into consideration that pressure variation with depth depends on it.
@@ Line 16: / Line 14: @@
 </div>
 </div>
 =Experimental Apparatus=
-In this experiment there are four acrylic tubes with a diameter of thirty millimiters and a meter in length. Each tube is filled with a different liquid: distilled water, salty water, glycerin and vegetable oil. Inside each of these tubes there is a bell with air that allows pressure to be sensed through a flexible tube, which is attached to a pressure sensor located on the outside of the liquid.
+[[File:Hidroestatica-montagem.jpg|thumb|Photo of the four tubes used in this experiment.]]
-[[File:Hidroestatica-montagem.jpg|thumb|Photo of the four tubes used in this experiment.]]
+In this experiment, there are four acrylic tubes with a diameter of thirty millimiters and a meter in length. Each tube is filled with a different liquid: distilled water, salt water, glycerin and vegetable oil. Inside each of these tubes there is a bell with an air bubble that allows pressure to be measured through a flexible tube, which is attached to a pressure sensor located on the outside of the liquid.
-The change in volume can be estimated considering that each bell has a volume of approximately \( 2 cm^3 \) and the hose has a cross-section of \(1 mm\) and a length of \(1 m\), but it can be easily ignored (why?)(because the hose's volume doesn't change significantly with the change in pressure?).
+The tubes are mounted vertically, and the four probes move simultaneously as established by the configuration chosen. The latter pause for a second at each measuring point to allow the pressure to stabilize before measuring. This will make the experiment take longer if the user requests many points.
 =Protocol=
-The user must define the following parameters: (i) maximum and (ii) minimum height and (iii) the number of samples to take across the pathway. This means that he can choose the initial and final depth for the probe's motion and obtain the data (for each liquid) on the variation of the pressure as the depth changes.
+The user must define the maximum and minimum height, as well as the number of samples to take across the path. This means that he can choose the initial and final depth for the probe's motion and obtain the data (for each liquid) on the variation of the pressure as the depth changes.
 Afterwards, the data can be fitted to the following equation, and from that, the density of the various liquids can be determined.
@@ Line 55: / Line 59: @@
 | \( 0,92 \times 10 ^3 \)
 |}
 =Theoretical Principles=
@@ Line 63: / Line 68: @@
 \]
-where \( p_0 \) represents the pressure at the liquid's surface and \( \rho = m/V\) it's density, being <i>g</i> the local gravity acelaration and <i>h</i> the depth.
+where \( p_0 \) represents the pressure at the liquid's surface and \( \rho = m/V\) it's density, being <i>g</i> the local gravity acceleration and <i>h</i> the depth.
 Recalling Pascal's principle note that \( p_0 \) is evenly distributed through the whole liquid.

@@ Line 10: / Line 10: @@
 *Video: rtsp://elabmc.ist.utl.pt/scuba.sdp
-*Laboratory: Básico em e-lab.ist.eu[http://e-lab.ist.eu]
+*Laboratory: Basic in e-lab.ist.eu[http://e-lab.ist.eu]
 *Control room: scuba
 *Grade: **