Lab- Calculate Relative Uncertainty, How many sig figs?

In summary, the relative uncertainty in the mass is 0.05 or 0.050 depending on the appropriate number of significant figures.
  • #1
ChiralWaltz
161
5

Homework Statement



Calculate the relative uncertainty in the mass
mass (M) = 1.0 grams

Homework Equations



[itex] \frac{\delta M}{M}[/itex]

The Attempt at a Solution



[tex]\delta M = \pm0.05g[/tex]
[tex]\frac {0.05g}{1.0g} = 0.05[/tex]

or
[tex]\frac {0.05g}{1.0g} = 0.050[/tex]

Which one has the appropriate amount of sig figs?

thanks for your help :)
 
Last edited:
Physics news on Phys.org
  • #2
ChiralWaltz said:

Homework Statement



Calculate the relative uncertainty in the mass
mass (M) = 1.0 grams

Homework Equations



[itex] \frac{\delta M}{M}[/itex]

The Attempt at a Solution



[tex]\delta M = \pm0.05g[/tex]
[tex]\frac {0.05g}{1.0g} = 0.05g[/tex]

or
[tex]\frac {0.05g}{1.0g} = 0.050g[/tex]

Which one has the appropriate amount of sig figs?

thanks for your help :)
The units cancel when dividing grams by grams !
 

Related to Lab- Calculate Relative Uncertainty, How many sig figs?

1. What is relative uncertainty and why is it important in a lab setting?

Relative uncertainty is a measure of the potential error in a measurement or calculation. It is important in a lab setting because it allows scientists to assess the precision and accuracy of their data and results.

2. How is relative uncertainty calculated?

Relative uncertainty is calculated by dividing the absolute uncertainty by the measured value and multiplying by 100. The resulting value is expressed as a percentage.

3. Can relative uncertainty be negative?

No, relative uncertainty cannot be negative. It is always expressed as a positive value, representing the potential error in a measurement.

4. How many significant figures should be used when calculating relative uncertainty?

The number of significant figures used in calculating relative uncertainty should match the number of significant figures in the measured value. This ensures that the relative uncertainty is expressed with the appropriate precision.

5. What is the difference between absolute uncertainty and relative uncertainty?

Absolute uncertainty is a measure of the actual error in a measurement, while relative uncertainty is a measure of the potential error relative to the measured value. Absolute uncertainty is expressed in the same units as the measured value, while relative uncertainty is expressed as a percentage.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
760
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
18
Views
3K
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
912
Back
Top