Length Conversion

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8 Questions

Which of the following is a type of length unit?

Meter

If 1 meter equals 100 centimeters, how many millimeters does 1 meter equal?

10000 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.

What is the term for the process of calculating the total error of a measurement based on the errors of individual measurements?

Error propagation

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

Systematic error

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

Absolute error

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

5%

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

Mile

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.

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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