Conversion Factors
- Length
- Area
- Volume
- Mass
- Speed
- Density
- Force
- Energy
- Power
- Pressure
- 1 gallon = 3.78541 liters (volume)
- 1 pound = 16 ounces (mass)
- 1 kilogram = 1,000 grams (mass)
- 1 pound = 453.592 grams (mass)
- 1 minute = 60000 milliseconds (time)
- 1 square mile = 2.58999 square kilometers (area)
How to solve conversion factors?
- Identify the " given " information in the problem. ...
- What is the problem asking you to " find "? ...
- Use ratios and conversion factors to cancel out the units that aren't part of your answer, and leave you with units that are part of your answer.
- When your units cancel out correctly, you are ready to do the math. ...
What is a conversion factor give an example?
- To convert 10 feet to inches, multiply 10 times 12 (the conversion factor) = 120 inches
- To convert 10 feet to yards, multiply 10 x 1/3 = 3.3333 yards (or 3 1/3 yards)
- To convert 10 feet to meters, multiply 10 x .3048 = 3.048 meters
- To convert 10 feet to centimeters, multiply 10 x 30.48 = 304.8 centimeters
What are unit equalities and conversion factors?
This principle gives rise to the form that conversion factors must take between units that measure the same dimension: multiplication by a simple constant. It also ensures equivalence; for example, if two buildings are the same height in feet, then they must be the same height in metres.
Which of the following is a correct conversion factor?
Using the conversion factor 30 g/1 oz, A dose of 2.5 ounces, when rounded to the nearest gram, is equal to. 75 g. A dose of 0.5 cup, when rounded to the nearest milliliter, is equal to. 120 mL. Using the conversion factor 30 g/1 oz, A dose of 400 mg, when rounded to the nearest thousandth of an ounce, is equal to.
What are the basic conversions?
Length Conversion1 inch = 2.54 cm.1 yard = 3 feet = 0.9144 m.1 mile = 1760 yard = 1.6093 km.1 centimeter = 10 mm.1 meter = 100 cm.1 kilometer = 1000 m.
What is the conversion factor formula?
Obtain the conversion factor by dividing the required yield (from Step 2) by the old yield (from Step 1). That is, conversion factor = (required yield)/(recipe yield) or conversion factor = what you NEED ÷ what you HAVE.
What are the conversion factors for volume?
Volume Conversion Table of Common Volume Unitsmilliliter (ml)gallon (gal) [US liquid]1 milliliter (ml)10.000264172052358151 liter (L)10000.264172052358151 cubic meter (m3)1000000264.172052358151 cubic inch (in3)16.3870640.00432900432900435 more rows
What is a example of conversion?
A conversion is defined as an exchange from one unit of measure to another. An example of conversion is exchanging dollars for euros. An example of conversion is figuring out how many cups are in a liter.
What does a conversion factor look like?
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
How do you solve conversions?
0:395:12How to Solve Unit Conversion Problems - YouTubeYouTubeStart of suggested clipEnd of suggested clipYou. And I'm trying to convert it into kilograms Linamar eight I will then add in the numbers thatMoreYou. And I'm trying to convert it into kilograms Linamar eight I will then add in the numbers that correspond with the unit's. One goes with kilograms. To point two zero four six goes with pounds.
What is the conversion factor of mass?
Units and Conversion FactorsUnits of Massmilligram (mg)= 0.001 g (exact, definition)= 0.4535924 kgkilogram (kg)= 1000 g (exact, definition) = 2.205 lb=2000 lb (exact, definition) = 907.185 kgton (metric)=1000 kg (exact, definition) = 2204.62 lb= 2240 lb (exact, definition) = 1.016 metric ton1 more row
What is the conversion factor in the metric system?
kilometerkm1,000 metersmeterm1.0centimetercm0.01 metersmillimetermm0.001 metersnanometersnm0.000,000,001 meters
What are conversions in math?
In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.
What is a conversion factor quizlet?
A conversion factor is a ratio that is equal to one. This means that the two values are EQUAL to each other. The two values will help you change from one unit to another.
What do all conversion factors have in common?
What do all conversion factors have in common? The numerator and the denominator have the same value expressed in different units.
How many conversion factors are possible from any one equality?
Two conversion factors are always possible from any equality. Two conversion factors can be written for any relationship in the metric or U.S. system.
Length
A table of conversion factors between common length units is provided below:
Area
A table of conversion factors between common area units is provided below:
Volume
A table of conversion factors between common volume units is provided below:
Mass
A table of conversion factors between common mass units is provided below:
Density
A table of conversion factors between common density units is provided below:
Force
A table of conversion factors between common force units is provided below:
Moment & Torque
A table of conversion factors between common units of moment and torque is provided below:
Introduction
Today it is very important to be able to understand measurements in both the English system of units and the SI (Systems International) system of units. The SI system of units (often referred to as the metric system) is the official system for measurements in nearly all countries of the world, but not in the U.S.
Background
Table 1 presents the conversion multiplication factors to convert from English units to SI units (and vice versa) for basic measurements including length, weight, area, volume, bulk density, mass flow rate, volume flow rate, pressure and power. Additional conversion factors are presented for energy, energy density, and energy yields.
Examples Illustrating the Use of the Conversion Factors
A field is 160 acres and you want to express that area in hectares. Find the Area category in Table 1. Since the known unit is "Acres", find the numeral "1" under the acre column. Follow that line to the right to find the corresponding multiplication factor of 0.4047 under the hectare column.
Summary
Careful attention to dimensions cannot be over-emphasized. The consistent use of the conversion factors and equations presented in this fact sheet should practically eliminate any errors associated with converting from the English system of units to the SI system and vice versa.
Steps for Using Conversion Factors
Step 1: Find whether we are converting to a smaller unit or a larger unit than the current unit.
Vocabulary for Using Conversion Factors
Conversion factor: A conversion factor is a ratio of units that is equal to 1.
Area
- 1 square meter (m2) = 10.76 ft2 1 square mile (mi2) = 640 acres 1 square foot (ft2) = 929 cm2 1 acre = 43,560 ft2
Volume
- 1 liter (l) = 1000cm3 = 1.057 quart (qt) = 61.02 in3 = 0.03532 ft3 1 cubic meter (m3) = 1000 l = 35.32 ft3 1 cubic foot (ft3) = 7.481 U.S.gal = 0.02832 m3= 28.32 l 1 U.S. gallon (gal) = 231 in3= 3.785 l 1 British gallon = 1.201 U.S.gallon = 277.4 in3
Mass
- 1 kilogram (kg) = 2.2046 pounds (lb) = 0.06852 slug; 1 lb = 453.6 gm = 0.03108 slug 1 slug = 32.174 lb = 14.59 kg
Speed
- 1 km/h = 0.2778 m/sec = 0.6214 mi/h = 0.9113 ft/sec 1mi/h = 1.467 ft/sec = 1.609 km/h = 0.4470 m/sec
Density
- 1 gm/cm3 = 103 kg/m3 = 62.43 lb/ft3 = 1.940 slug/ft3 1 lb/ft3 = 0.01602 gm/cm3 1 slug/ft3 = 0.5154 gm/cm3
Force
- 1 newton (nt) = 105dynes = 0.1020 kgwt = 0.2248 lbwt 1 pound weight (lbwt) = 4.448 nt = 0.4536 kgwt = 32.17 poundals 1 kilogram weight (kgwt) = 2.205 lbwt = 9.807 nt 1 U.S.short ton = 2000 lbwt 1 long ton = 2240 lbwt 1 metric ton = 2205 lbwt
Energy
- 1 joule = 1 nt m = 107 ergs = 0.7376 ft lbwt = 0.2389 cal = 9.481 × 10-4Btu 1 ft lbwt = 1.356 joules = 0.3239 cal = 1.285 × 10-3Btu 1 calorie (cal) = 4.186 joules = 3.087 ft lbwt = 3.968 × 10-3Btu 1 Btu (British thermal unit) = 778 ft lbwt = 1055 joules = 0.293 watt h 1 kilowatt hour (kw hr) = 3.60 × 106joules = 860 kcal = 3413 Btu 1 electron volt (ev) = 1.602 × 10-19joule
Power
- 1 watt = 1 joule/sec = 107ergs/sec = 0.2389 cal/sec 1 horsepower (hp) = 550 ft lbwt/sec = 33,000 ft lbwt /min = 745.7 watts 1 kilowatt (kw) = 1.341 hp = 737.6 ft lbwt/sec = 0.9483 Btu/sec
Pressure
- 1 nt/m2 = 10 dynes/cm2 = 9.869 × 10-6 atmosphere = 2.089 × 10-2 lbwt/ft2 1 lbwt/in2 = 6895 nt/m2= 5.171 cm mercury = 27.68 in water 1 atmosphere (atm) = 1.013 × 105 nt/m2 = 1.013 × 106 dynes/cm2 = 14.70 lbwt/in2= 76 cm mercury = 406.8 in.water
Mass
- A table of conversion factors between common mass units is provided below: 1. NOTE: The Avoirdupois ounce is what is typically used in engineering work, as opposed to the Troy ounce (which is used for weighing gold and silver).
Force
- A table of conversion factors between common force units is provided below: 1. NOTE: A kilopond(kp) is another term for kilogram-force (kgf).
Pressure & Stress
- A table of conversion factors between common units of pressure and stress is provided below: 1. NOTE: A Pascal is a derived unit equal to 1 N/m2.
Velocity
- A table of conversion factors between common velocity units is provided below: NOTES: 1. A knot is a nautical mile per hour. 2. Mach 1 is equal to the speed of sound, which is 343 m/s in dry air at 20 °C (68 °F). The speed of sound varies depending on the medium (substance) the sound is travelling through and the temperature.
Acceleration
- A table of conversion factors between common acceleration units is provided below: 1. NOTE: 1 g is the acceleration due to gravity.
Energy & Work
- A table of conversion factors between common units of energy and work is provided below: 1. NOTE: The units of Joule and N•m are equivalent and are both commonly used to express quantities of energy and work.
Power
- A table of conversion factors between common power units is provided below: 1. NOTE: A refrigeration tonis an important unit in HVAC that is not given in the table above. 1 refrigeration ton = 200 Btu/min = 12,000 Btu/hr = 3.516853 kW
Stress Intensity
- Stress intensity is an important quantity in fracture mechanics. Conversions between the most common units are given in the table below:
Introduction
Background
- Table 1 presents the conversion multiplication factors to convert from English units to SI units (and vice versa) for basic measurements including length, weight, area, volume, bulk density, mass flow rate, volume flow rate, pressure and power. Additional conversion factors are presented for energy, energy density, and energy yields. SI prefixes in...
Examples Illustrating The Use of The Conversion Factors
- Example 1
A field is 160 acres and you want to express that area in hectares. Find the Areacategory in Table 1. Since the known unit is "Acres", find the numeral "1" under the acre column. Follow that line to the right to find the corresponding multiplication factor of 0.4047 under the hectare column. Th… - Example 2
Energy content of buckwheat is 15.5 MJ/kg (Mega Joules per kilogram). What is the energy density in units of BTU/lb? Go to the category of Energy Densityin Table 1 and find the column for MJ/kg. Locate the numeral "1" under that column and then read to the left to get the multiplicatio…
Summary
- Careful attention to dimensions cannot be over-emphasized. The consistent use of the conversion factors and equations presented in this fact sheet should practically eliminate any errors associated with converting from the English system of units to the SI system and vice versa. Contemporary global systems for communications, commerce, and finance dictate that all parti…
References
- ASHRAE Handbook of Fundamentals, Atlanta, GA, 2005.
- Marks' Standard Handbook for Mechanical Engineers, 2006.