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 (C)</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 (A)</p> Signup and view all the answers

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

<p>Absolute error (B)</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% (D)</p> Signup and view all the answers

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

<p>Mile (A)</p> Signup and view all the answers

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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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