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Grade 7:  The Learning Equation Math

31.04 Measurements and Instruments

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Measurement

Refresher pp 60-61

Learning Outcomes:

The student will:

Just click the show checkbox and drag the ruler left or right. If the show box is unchecked, you can drag the ruler as desired, type the correct value into the textField, press ENTER, and see your test result.

Linked source: Vernier

Vernier Calipers - Ron Blond

 

How to read a caliper


The caliper consists of two scales. The first and main one is just a normal ruler, the second, smaller one, allows a precise determination of a number between divisions on the main scale. The first tick of the smaller scale indicates the size of the object on the calibers main scale, say 4.5 in our case. Now find the first tick on the slider scale that lines up perfectly with a tick on the main scale. This tick gives you the second digit after the decimal point.

Micrometer Calipers - Ron Blond

 

Wheatstone Bridge

Measure an unknown resistance

The Wheatstone bridge is used to determine an unknown resistance (Rx in our case) by adjusting a known resistance so that the measured current is zero. To make it more fun, you can measure voltage and current at any places in the circuit below. Just drag the plus and minus connectors of the multimeter to any place on the wire. The variable resistor at R2 can be changed either by dragging the green slider or by typing a number in the text field below.

Tip: To determine the resistance put one connector each at the upper and lower corner of the rhombus, put the meter to the most sensitive voltage setting and determine the resistance R2 at which there flows no current through the multimeter. In this case the formula for Rx is given by Rx=(R1/R2)*R4.

This browser does not trust my applets. Here is a picture similar to what you would see. BUT, you cannot move the connectors or measure any parameters.

source:  Wheatstone Bridge

Review:

Reading Scales module

Thermometer: Java Widget Demo

Thermometer

Science Laboratory Equipment

The Micrometer Caliper

BCIT Physics Netshow Site - micrometer

 

Enrichment:

Barometer module

Chemistry Equipment and Procedures

Geophysics TUC : Seismo Demo

Sextant

Java Applet: Multimeter VOM

Ohm's Law

Ohm's Law

Buoyant Force in Liquids

Geophysics TUC : Long Period Seismometer

 

Key Terms: A-E F-J K-O P-R S-Z

area, capacity, circumference, length, mass, pi, volume, revolution

Prerequisite Skills:

Term Definition/Explanation
length the measured distance of  longer side of an object
width the measured distance of  shorter side of an object
height the distance of an object from top to bottom or back to front
depth another name for thickness or height
thickness another name for depth or height
perimeter the length of a boundary around a closed figure
circumference distance around a circle.
Tool Appropriate SI Units
ruler mm, cm, dm, m
tape measure mm, cm, dm, m
odometer km
measuring cup mL, L
balance scale mg, g, kg, tonne
spring scale N
protractor degree (o)
thermometer oC
voltmeter volts
ammeter amps
ohmeter ohms
Length 10 millimeters (mm) = 1 centimeter (cm)
10 centimeters (cm) = 1 decimeter (dm)
10 decimeters (dm) = 1 meter (m)
10 meters (m) = 1 dekameter (dam)
10 dekameters (dam) = 1 hectometer (hm)
10 hectometers (hm) = 1 kilometer (km)
1 centimeter (cm) = 10 millimeters (mm)
1 meter (m) = 100 centimeters (cm) = 1000 millimeters (mm)
1 kilometer (km) = 1000 meters (m)
Capacity 10 milliliters (mL) = 1 centiliter (cL)
10 centiliters (cL) = 1 deciliter (dL)
10 deciliters (dL) = 1 liter (L)
10 liters (L) = 1 dekaliter (daL)
10 dekaliters (daL) = 1 hectoliter (hL)
10 hectoliters (hL) = 1 kiloliter (kL
Mass 10 milligrams (mg) = 1 centigram (cg)
10 centigrams (cg) = 1 decigram (dg)
10 decigrams (dg) = 1 gram (g)
10 grams (g) = 1 dekagram (dag)
10 dekagrams (dag) = 1 hectogram (hg)
10 hectograms (hg) = 1 kilogram (kg)
1000 kilograms (kg) = 1 metric ton (t)

 

 

length
km  hm   dam   m    dm  cm   mm 
mass (weight)
kg  hg   dag   g   dg  cg   mg 
capacity (volume)
kL  hL   daL   L   dL cL   mL 

The conversion rules are the same for all of these units.

  • underline the unit you are starting with

  • underline the unit you are converting to

  • count the number of units left or right and move the decimal the same number of spaces.

Example:

32.5 km = __________ cm

    km  hm   dam   m    dm  cm   mm 
     →    1      2     3       4     5

To get from km to cm, you are moving 5 spaces to the right.  When we move the decimal 5 decimal places to the right in 32.5 we have the following conversion:

32.5 km = 3 250 000 cm

Units Converter - awesome range of SI units

IFP : Metric Conversion Tables

PNEUMOFORE UNIT CONVERTER (JAVA)

Java Boutique, The Ultimate Java Applet Resource - ConversionApplet

The WWW Unit Converter

Coolnerds JavaScript Conversion Table - can modify for specific needs

Circle Problems:  Grade 7 Lesson 31.02

12.04 Adding of Integers:   Grade 7 Lesson 12.04

12.05 Subtracting Integers:   Grade 7 Lesson 12.05

Multiplying and Dividing Integers:  Grade 7 Lesson 12.06

 

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Comments to:  Jim Reed
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