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Questions and Answers
Which of the following is a type of length unit?
If 1 meter equals 100 centimeters, how many millimeters does 1 meter equal?
What is the primary difference between systematic errors and random errors?
What is the term for the process of calculating the total error of a measurement based on the errors of individual measurements?
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If a ruler has a faulty calibration, what type of error would this result in?
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What is the difference between the measured value and the true value?
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If the true value of a measurement is 10 meters, and the measured value is 10.5 meters, what is the percentage error?
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What is the unit of length that is equal to 1760 yards?
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Study Notes
Length Conversion
- Unit conversions: The process of changing a value from one unit to another.
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Length units: Common units of length include:
- Meter (m)
- Centimeter (cm)
- Millimeter (mm)
- Kilometer (km)
- Inch (in)
- Foot (ft)
- Yard (yd)
- Mile (mi)
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Conversion factors: Ratios used to convert between units, such as:
- 1 m = 100 cm
- 1 cm = 10 mm
- 1 km = 1000 m
- 1 in = 2.54 cm
- 1 ft = 12 in
- 1 yd = 3 ft
- 1 mi = 1760 yd
Errors
- Measurement errors: Inaccuracies in measurement values due to various factors.
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Types of errors:
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Systematic errors: Errors that occur consistently in the same direction, such as:
- Instrumental errors (e.g., faulty instrument)
- Human errors (e.g., misreading instrument)
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Random errors: Errors that occur randomly and unpredictably, such as:
- Instrumental errors (e.g., electronic noise)
- Human errors (e.g., accidental mistakes)
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Systematic errors: Errors that occur consistently in the same direction, such as:
- Error propagation: The process of calculating the total error of a measurement based on the errors of individual measurements.
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Error types:
- Absolute error: The difference between the measured value and the true value.
- Relative error: The ratio of the absolute error to the true value.
- Percentage error: The relative error expressed as a percentage.
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Description
Learn about the process of converting between different units of length, including meters, centimeters, millimeters, and more. Understand how to use conversion factors to switch between units.
