Scale Diagram - Revision history

Ellen References at 18:08, 12 November 2019

2019-11-12T18:08:07Z

NRJC at 18:26, 7 April 2019

2019-04-07T18:26:27Z

NRJC at 17:59, 6 April 2019

2019-04-06T17:59:45Z

NRJC: /* About Scale Diagrams */

2019-04-06T17:46:56Z

‎About Scale Diagrams

NRJC at 17:46, 6 April 2019

2019-04-06T17:46:44Z

NRJC: /* Key Stage 4 */

2019-02-05T09:15:04Z

‎Key Stage 4

NRJC: /* Examples */

2019-02-04T18:07:01Z

‎Examples

NRJC at 18:05, 4 February 2019

2019-02-04T18:05:10Z

NRJC: /* Examples */

2019-02-04T16:47:12Z

‎Examples

NRJC: Created page with "==Key Stage 4== ===Meaning=== A '''scale diagram''' is a method used to add vectors by drawing them as arrows whose length and direction are accurately drawn to represent..."

2019-02-04T16:39:12Z

Created page with "==Key Stage 4== ===Meaning=== A '''scale diagram''' is a method used to add vectors by drawing them as arrows whose length and direction are accurately drawn to represent..."

New page

==Key Stage 4==
===Meaning===
A '''scale diagram''' is a method used to add [[vector]]s by drawing them as arrows whose length and direction are accurately drawn to represent the [[magnitude]] and direction of the [[vector]].

===About Scale Diagrams===
: '''Scale diagrams''' use a 'scale' to show how the units of the [[vector]] are represented by a single unit of length (cm or mm). For example 100N = 1cm, so an arrow of 5cm represents a [[force]] of 500N.
: '''Scale diagrams''' can be used to add [[force]]s, [[displacement]]s, [[velocity|velocities]] or [[acceleration]]s.

===Examples===
{| class="wikitable"
|-
|[[File:FreeBodyDiagram2.png|center|300px]]
|[[File:ScaleDiagram1.png|center|300px]]
|-
| style="height:100px; width:400px; text-align:left;" colspan= "2"|The two [[vector]] [[force]]s drawn to a 'scale' on a [[Scale Diagram]]. This scale is 1N = 1cm. The two [[force]]s can be added by placing the start of one [[vector]] [[force]] at the end of the other. This [[Scale Diagram]] shows that the two [[force]]s cancel one another out so the net [[force]] is zero.
|}

{| class="wikitable"
|-
|[[File:FreeBodyDiagram3.png|center|300px]]
|[[File:ScaleDiagram2.png|center|300px]]
|-
| style="height:100px; width:400px; text-align:left;" colspan= "2"|The two [[vector]] [[force]]s drawn to a 'scale' on a [[Scale Diagram]]. This scale is 1N = 1cm. The two [[force]]s can be added by placing the start of one [[vector]] [[force]] at the end of the other. This [[Scale Diagram]] shows that the two arrows add to make a length of 6.1cm, which represents 6.1N, in a direction of 35° down from the [[horizontal]].
|}

{| class="wikitable"
|-
|[[File:ResolvingVectors1.png|center|200px]]
|[[File:ResolvingVectors2.png|center|200px]]
|[[File:ResolvingVectors3.png|center|200px]]

|-
| style="height:100px; width:200px; text-align:left;"|A [[boat]] is being pulled by two separate tug boats attached by a cable. The tension in each cable is 5000N.
| style="height:100px; width:200px; text-align:left;"|The tug boats and cables are replaced by [[vector]] [[force]]s from the [[boat]].
| style="height:100px; width:200px; text-align:left;"|The two [[force]]s are redrawn in a a [[Scale Diagram]] with scale is 1000N = 1cm placing the start of one [[vector]] [[force]] at the end of the other.
|-
| style="height:100px; width:400px; text-align:left;" colspan= "3"|This [[Scale Diagram]] shows that the two arrows add to make a length of 9.4cm, which represents 9400N, in a direction of 90° from the [[North]] which is an [[East]]erly direction.
|}

← Older revision		Revision as of 18:08, 12 November 2019
Line 55:		Line 55:
	\| style="height:100px; width:500px; text-align:left;" colspan= "5"\|Use a [[ruler]] to [[measure]] the length from the start of the first [[vector]] to the end of the second. The length is roughly 6.4cm (636N). Use a [[protractor]] to [[measure]] the [[angle]] from the [[horizontal]]. The [[angle]] should be 12.4° up from the [[horizontal]].		\| style="height:100px; width:500px; text-align:left;" colspan= "5"\|Use a [[ruler]] to [[measure]] the length from the start of the first [[vector]] to the end of the second. The length is roughly 6.4cm (636N). Use a [[protractor]] to [[measure]] the [[angle]] from the [[horizontal]]. The [[angle]] should be 12.4° up from the [[horizontal]].
	\|}		\|}
		+
		+	===References===
		+	====AQA====
		+
		+	:[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Scale diagrams, page 115, GCSE Physics; Third Edition, Oxford University Press, AQA '']

@@ Line 36: / Line 36: @@
 | style="height:100px; width:200px; text-align:left;"|The two [[force]]s are redrawn in a a [[Scale Diagram]] with scale is 1000N = 1cm placing the start of one [[vector]] [[force]] at the end of the other.
 |-
-| style="height:100px; width:400px; text-align:left;" colspan= "3"|This [[Scale Diagram]] shows that the two arrows add to make a length of 9.4cm, which represents 9400N, in a direction of 90° from the [[North]] which is an Easterly direction.
+| style="height:100px; width:400px; text-align:left;" colspan= "3"|This [[Scale Diagram]] shows that the two arrows add to make a length of 9.4cm, which represents 9400N, in a direction of 90° from the North which is an Easterly direction.
 |}

@@ Line 52: / Line 52: @@
 | style="height:100px; width:200px; text-align:left;"|Use a [[ruler]] to draw a line 5cm long, starting at the end of the first [[vector]] at an [[angle]] of 50° down from the [[horizontal]].
 |-
-| style="height:100px; width:500px; text-align:left;" colspan= "3"|Use a [[ruler]] to [[measure]] the length from the start of the first [[vector]] to the end of the second. The length is roughly 6.4cm (636N). Use a [[protractor]] to [[measure]] the [[angle]] from the [[horizontal]]. The [[angle]] should be 12.4° up from the [[horizontal]].
+| style="height:100px; width:500px; text-align:left;" colspan= "5"|Use a [[ruler]] to [[measure]] the length from the start of the first [[vector]] to the end of the second. The length is roughly 6.4cm (636N). Use a [[protractor]] to [[measure]] the [[angle]] from the [[horizontal]]. The [[angle]] should be 12.4° up from the [[horizontal]].
 |}

@@ Line 6: / Line 6: @@
 : '''Scale diagrams''' use a 'scale' to show how the units of the [[vector]] are represented by a single unit of length (cm or mm). For example 100N = 1cm, so an arrow of 5cm represents a [[force]] of 500N.
 : '''Scale diagrams''' can be used to add [[force]]s, [[displacement]]s, [[velocity|velocities]] or [[acceleration]]s.
-: A '''scale diagram''' can be used to find the [[Resultant Force|resultant] [[force]] on an [[object]] by drawing rather than calculation.
+: A '''scale diagram''' can be used to find the [[Resultant Force|resultant]] [[force]] on an [[object]] by drawing rather than calculation.
 ===Examples===
 {| class="wikitable"

@@ Line 31: / Line 31: @@
 |-
-| style="height:100px; width:200px; text-align:left;"|A [[boat]] is being pulled by two separate tug boats attached by a cable. The tension in each cable is 5000N.
+| style="height:100px; width:200px; text-align:left;"|A boat is being pulled by two separate tug boats attached by a cable. The tension in each cable is 5000N.
-| style="height:100px; width:200px; text-align:left;"|The tug boats and cables are replaced by [[vector]] [[force]]s from the [[boat]].
+| style="height:100px; width:200px; text-align:left;"|The tug boats and cables are replaced by [[vector]] [[force]]s from the boat.
 | style="height:100px; width:200px; text-align:left;"|The two [[force]]s are redrawn in a a [[Scale Diagram]] with scale is 1000N = 1cm placing the start of one [[vector]] [[force]] at the end of the other.
 |-

@@ Line 28: / Line 28: @@
 |[[File:ResolvingVectors1.png|center|200px]]
 |[[File:ResolvingVectors2.png|center|200px]]
-|[[File:ResolvingVectors3.png|center|200px]]
+|[[File:ResolvingVectors3b.png|center|200px]]
 |-