Unit B: Measurement

Practice


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  1. Write the maximum and minimum values represented by each of the following dimensions.

    1. 2.835 mm ± 0.025 mm
    2. 7 g ± 0.6 g
  1. A 600 V voltmeter has a minimum allowable measurement of 590 V and a maximum allowable measurement of 610 V.






    1. Determine the tolerance of the voltmeter.
    2. Record the measurement of the voltmeter in two different ways.

  2. The box of cereal has a mass of 425 g with an allowance tolerance of 8 g. What is the acceptable range of mass for the cereal in the box?






  3. Jeans are generally sold based on the waist measurement with a tolerance of 0.5 inch.






    What are the maximum and minimum allowable waist measurements that can be labelled as 33 inch jeans?

  4. A Smartie has a nominal value of 0.89 g and a tolerance of 0.04 g. Lucas measures the mass of six Smarties and records them in the table below.

    Coloured Smartie
    		Mass (g)
    pink 0.88
    red 0.92
    orange 0.90
    purple 0.87
    brown 0.85
    green 0.91




    1. Determine the maximum and minimum acceptable masses of a Smartie.
    2. Which colour(s) of Smarties fall within the acceptable range?
    3. Which colour(s) of Smarties do not fall within the acceptable range? Explain.
Write the maximum and minimum values represented by each of the following dimensions.

  1. 2.835 mm ± 0.025 mm
  2. 7 g ± 0.6 g

  1. maximum value=2.835 mm + 0.025 mm=2.860 mmminimum value =2.835 mm - 0.025 mm=2.810 mm


  2. maximum value =7 g + 0.6 g=7.6 gminimum value =7 g - 0.6 g=6.4 g
A 600 V voltmeter has a minimum allowable measurement of 590 V and a maximum allowable measurement of 610 V.






  1. Determine the tolerance of the voltmeter.
  2. Record the measurement of the voltmeter in two different ways.

  1. tolerance = maximum   measurement - minimum   measurement = 610   V - 590   V = 20   V



    1. nominal   value   ±   1 2 tolerance = 220   V   ±   1 2 20   V = 220   V   ±   10   V


    2. maximum   value = 220   V   +   10   V = 230   V minimum   value = 220   V   -   10   V = 210   V
The box of cereal has a mass of 425 g with an allowance tolerance of 8 g. What is the acceptable range of mass for the cereal in the box?





The nominal value is 425 g, and the tolerance is 8 g.

nominal   value   ±   1 2 tolerance = 425   g   ±   1 2 8   g = 425   g   ±   4   g


maximum   value = 425   g   +   4   g = 429   g minimum   value = 425   g - 4   g = 421   g

The box of cereal would have a mass between 421 g and 429 g.

Jeans are generally sold based on the waist measurement with a tolerance of 0.5 inch.





What are the maximum and minimum allowable waist measurements that can be labelled as 33 inch jeans?

nominal   value   ±   1 2 tolerance = 33   in   ±   1 2 0 . 5   in = 33   in   ±   0 . 25   in


maximum   value = 33   in   +   0 . 25   in = 33 . 25   in minimum   value = 33   in   -   0 . 25   in = 32 . 75   in

The minimum size of the waist would be 32.75 in, and the maximum size of the waist would be 33.25 in.

A Smartie has a nominal value of 0.89 g and a tolerance of 0.04 g. Lucas measures the mass of six Smarties and records them in the table below.

Coloured Smartie
Mass (g)
pink 0.88
red 0.92
orange 0.90
purple 0.87
brown 0.85
green 0.91




  1. Determine the maximum and minimum acceptable masses of a Smartie.
  2. Which colour(s) of Smarties fall within the acceptable range?
  3. Which colour(s) of Smarties do not fall within the acceptable range? Explain.

  1. nominal   value   ±   1 2 tolerance = 0 . 89   g   ±   1 2 0 . 04   g = 0 . 89   g   ±   0 . 02   g

    maximum   value = 0 . 89   g   +   0 . 02   g = 0 . 91   g minimum   value = 0 . 89   g   -   0 . 02   g = 0 . 87   g

    The acceptable masses are between 0.87 g and 0.91 g.

  2. The pink, orange, purple, and green coloured Smarties fall in the acceptable range of 0.87 g and 0.91 g.

  3. The brown Smartie has a mass lower than the minimum value of 0.87 g, and the red Smartie has a mass above the maximum value of 0.92 g, so the brown and red Smarties do not fall within the acceptable range.