Length Conversion
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Questions and Answers

Which of the following is a type of length unit?

  • Liter
  • Meter (correct)
  • Gram
  • Pound
  • If 1 meter equals 100 centimeters, how many millimeters does 1 meter equal?

  • 10000 mm (correct)
  • 100 mm
  • 100000 mm
  • 1000 mm
  • What is the primary difference between systematic errors and random errors?

  • Systematic errors occur consistently in the same direction, while random errors occur randomly. (correct)
  • Systematic errors are only human, while random errors are only instrumental.
  • Systematic errors are smaller in magnitude than random errors.
  • Systematic errors are only instrumental, while random errors are only human.
  • What is the term for the process of calculating the total error of a measurement based on the errors of individual measurements?

    <p>Error propagation</p> Signup and view all the answers

    If a ruler has a faulty calibration, what type of error would this result in?

    <p>Systematic error</p> Signup and view all the answers

    What is the difference between the measured value and the true value?

    <p>Absolute error</p> Signup and view all the answers

    If the true value of a measurement is 10 meters, and the measured value is 10.5 meters, what is the percentage error?

    <p>5%</p> Signup and view all the answers

    What is the unit of length that is equal to 1760 yards?

    <p>Mile</p> Signup and view all the answers

    Study Notes

    Length Conversion

    • Unit conversions: The process of changing a value from one unit to another.
    • Length units: Common units of length include:
      • Meter (m)
      • Centimeter (cm)
      • Millimeter (mm)
      • Kilometer (km)
      • Inch (in)
      • Foot (ft)
      • Yard (yd)
      • Mile (mi)
    • 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.
    • Types of errors:
      • Systematic errors: Errors that occur consistently in the same direction, such as:
        • Instrumental errors (e.g., faulty instrument)
        • Human errors (e.g., misreading instrument)
      • Random errors: Errors that occur randomly and unpredictably, such as:
        • Instrumental errors (e.g., electronic noise)
        • Human errors (e.g., accidental mistakes)
    • Error propagation: The process of calculating the total error of a measurement based on the errors of individual measurements.
    • 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.

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