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Questions and Answers
A surveyor measures a plot of land and records the dimensions in feet. To prepare a report in metric units, which conversion factor should be used to convert feet to meters?
A surveyor measures a plot of land and records the dimensions in feet. To prepare a report in metric units, which conversion factor should be used to convert feet to meters?
- 1 ft = 0.3048 m (correct)
- 1 ft = 3.28084 m
- 1 m = 3.28084 cm
- 1 m = 0.3048 ft
An engineer needs to determine the weight of a shipment in kilograms, but the weight is currently listed in pounds. Which conversion factor is most accurate for converting pounds to kilograms?
An engineer needs to determine the weight of a shipment in kilograms, but the weight is currently listed in pounds. Which conversion factor is most accurate for converting pounds to kilograms?
- 1 lb = 0.45359237 kg (correct)
- 1 lb = 2.20462 kg
- 1 kg = 0.45359237 lb
- 1 kg = 2.20462 lb
A chemist measures a volume of liquid in milliliters but needs to record the volume in liters for a report. What conversion factor should be applied to convert milliliters to liters?
A chemist measures a volume of liquid in milliliters but needs to record the volume in liters for a report. What conversion factor should be applied to convert milliliters to liters?
- Multiply by 100
- Multiply by 1000
- Divide by 1000 (correct)
- Divide by 100
During a construction project, a 10-foot beam needs to be replaced. The supplier provides the beam's length in inches. How many inches should the supplier provide?
During a construction project, a 10-foot beam needs to be replaced. The supplier provides the beam's length in inches. How many inches should the supplier provide?
A recipe calls for 2 pounds of flour. If you only have a kitchen scale that measures in ounces, how many ounces of flour do you need?
A recipe calls for 2 pounds of flour. If you only have a kitchen scale that measures in ounces, how many ounces of flour do you need?
A swimming pool contains 10,000 gallons of water. To calculate the volume in liters for international reporting, which calculation should be used?
A swimming pool contains 10,000 gallons of water. To calculate the volume in liters for international reporting, which calculation should be used?
A truck is carrying a load of 5 metric tons of gravel. How many kilograms of gravel is the truck carrying?
A truck is carrying a load of 5 metric tons of gravel. How many kilograms of gravel is the truck carrying?
A bottle contains 2 liters of soda. How many milliliters of soda are in the bottle?
A bottle contains 2 liters of soda. How many milliliters of soda are in the bottle?
What conversion is necessary to convert a measurement of 3 miles into yards?
What conversion is necessary to convert a measurement of 3 miles into yards?
A package weighs 80 ounces. What is its weight in pounds?
A package weighs 80 ounces. What is its weight in pounds?
A container has a volume of 5 gallons. How many quarts does it hold?
A container has a volume of 5 gallons. How many quarts does it hold?
A table is 150 centimeters long. What is its length in meters?
A table is 150 centimeters long. What is its length in meters?
If you have 3 kilograms, what is the equivalent weight in grams?
If you have 3 kilograms, what is the equivalent weight in grams?
A tank contains 2500 milliliters of water. That is the same as how many liters?
A tank contains 2500 milliliters of water. That is the same as how many liters?
Convert 5 miles to kilometers (1 mile = 1.60934 kilometers).
Convert 5 miles to kilometers (1 mile = 1.60934 kilometers).
Convert 75 pounds to kilograms (1 pound = 0.453592 kilograms).
Convert 75 pounds to kilograms (1 pound = 0.453592 kilograms).
A container holds 3 quarts of liquid. How many pints is this?
A container holds 3 quarts of liquid. How many pints is this?
A bookshelf is 6 feet long. How long is it in centimeters? (1 foot = 30.48 centimeters)
A bookshelf is 6 feet long. How long is it in centimeters? (1 foot = 30.48 centimeters)
An object weighs 4,500 grams. What is its weight in kilograms?
An object weighs 4,500 grams. What is its weight in kilograms?
A tank holds 15 liters of fluid. How many US fluid ounces does it hold? (1 liter = 33.814 US fluid ounces)
A tank holds 15 liters of fluid. How many US fluid ounces does it hold? (1 liter = 33.814 US fluid ounces)
Flashcards
Unit Conversion
Unit Conversion
Process of changing a value from one unit to another using conversion factors.
Length
Length
Measure of distance, examples: meters, feet, miles
Meters to Centimeters
Meters to Centimeters
1 meter equals how many centimeters?
Kilometers to Meters
Kilometers to Meters
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Inches to Centimeters
Inches to Centimeters
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Weight
Weight
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Kilograms to Grams
Kilograms to Grams
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Pounds to Kilograms
Pounds to Kilograms
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Volume
Volume
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Liters to Milliliters
Liters to Milliliters
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Cubic Meters to Liters
Cubic Meters to Liters
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Conversion Factor
Conversion Factor
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Dimensional Analysis
Dimensional Analysis
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Study Notes
- Unit conversion is the process of converting a value from one unit of measurement to another
- This is done by multiplying or dividing the initial value by a conversion factor
- Maintaining dimensional consistency is crucial in engineering and science
- Proper unit handling ensures accuracy and prevents errors in computations
Length Conversion
- Length is a measure of distance
- Common units include meters (m), kilometers (km), centimeters (cm), millimeters (mm), inches (in), feet (ft), yards (yd), and miles (mi)
- 1 meter is equal to 100 centimeters
- 1 kilometer is equal to 1000 meters
- 1 inch is defined as exactly 2.54 centimeters
- 1 foot is equal to 12 inches
- 1 yard equals 3 feet
- 1 mile is equal to 5280 feet
- To convert from one unit of length to another, use conversion factors
- To convert meters to centimeters, multiply by 100
- To convert inches to centimeters, multiply by 2.54
- To convert centimeters to inches, divide by 2.54
- Dimensional analysis helps verify the correctness of conversions by ensuring units cancel out properly
- Converting 10 meters to feet: 10 m * (3.28084 ft / 1 m) = 32.8084 ft
Weight Conversion
- Weight is a measure of how heavy an object is
- Common units include kilograms (kg), grams (g), pounds (lb), ounces (oz), and tons
- 1 kilogram equals 1000 grams
- 1 pound is defined as exactly 0.45359237 kilograms
- 1 ounce is equal to 1/16 of a pound
- 1 (short) ton equals 2000 pounds
- 1 metric ton equals 1000 kilograms
- To convert from one unit of weight to another, use appropriate conversion factors
- To convert kilograms to grams, multiply by 1000
- To convert pounds to kilograms, multiply by 0.45359237
- To convert kilograms to pounds, divide by 0.45359237
- Converting 50 kilograms to pounds: 50 kg * (2.20462 lb / 1 kg) = 110.231 lb
Volume Conversion
- Volume is the amount of space a substance occupies
- Common units include liters (L), milliliters (mL), cubic meters (m³), cubic centimeters (cm³), gallons (gal), quarts (qt), pints (pt), and fluid ounces (fl oz)
- 1 liter is equal to 1000 milliliters
- 1 cubic meter is equal to 1000 liters
- 1 cubic centimeter is equal to 1 milliliter
- 1 gallon equals 4 quarts
- 1 quart equals 2 pints
- 1 pint equals 2 cups or 16 fluid ounces
- 1 US fluid ounce equals approximately 29.5735 milliliters
- Use conversion factors to convert between different units of volume
- To convert liters to milliliters, multiply by 1000
- To convert gallons to liters, multiply by 3.78541
- To convert liters to gallons, divide by 3.78541
- Note that US and imperial gallons are different sizes
- Converting 2 liters to fluid ounces: 2 L * (33.814 fl oz / 1 L) = 67.628 fl oz
Conversion Factors
- Conversion factors are ratios expressing how many of one unit are equal to another unit
- They are used to convert between units of measurement
- Correct conversion factors are equal to 1
- Examples include 1 m = 100 cm, or 1 kg = 2.20462 lb
- When using conversion factors, ensure the units you want to eliminate are in opposite positions (numerator vs denominator)
Dimensional Analysis
- Dimensional analysis, also known as unit analysis, is a method used to ensure equations are dimensionally consistent and conversions are set up correctly
- It involves tracking the units in a calculation and ensuring they cancel out appropriately
- If calculating distance (in meters) with speed (in meters per second) and time (in seconds): distance = speed * time, m = (m / s) * s
- The seconds units cancel, leaving you with meters
- If the units do not cancel out correctly, the calculation is likely incorrect
- Dimensional analysis helps prevent errors in complex calculations
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