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Digital Analytical

June 20th, 2010 No comments

Digital Analytical
Measuring devices?

How do i find out how many sigificant digits these following items have? Give me detailed answers explaining how and why so i can do it myself next time. thanks

1. An analytical balance that displays the mass of an object (in grams) using four decimal points.

2. A digital stopwatch that displays the time to the neartest 0.01 s

3. A 10ML graduated cylinder with markings every 0.1 mL

4. A ruler with markings every 1mm

5. A triple- beam balance with markings every 1 g

For each one, you need the maximum value it can measure and display, and also the next lowest value.

For example, a 50 cm ruler with markings every 1 mm.
Max = 50.0 cm
Next lower: 49.9 cm
Difference = 0.1 cm = 1 mm
# of significant decimal digits = log10( max / difference)
... = log10( 50.0 cm / 0.1 cm )
... = log10( 500) = 2.7

TLC-The Basics | MIT Digital Lab Techniques Manual


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