What is the Total Uncertainty in Measuring Force with a 0-10 lbf Load Cell?

In summary, a 0-10 lbf load cell with 1% accuracy was used to measure the force required to lift an object. After taking 5 measurements, the mean was calculated to be 5 lbf with a standard deviation of 0.16 lbf. The associated uncertainty for the mean is 0.15 lbf. There may be a need for additional steps due to the small sample size.
  • #1
rcummings89
19
0
Say I have a 0-10 lbf load cell that can measure the force it takes to lift an object. The load cell is accurate to 1% of the full scale. I take 5 measurements and get the following readings:

5.2, 5.1, 4.9, 5.0, & 4.8, all in lbf.

Now I am asked to give the mean with the associated uncertainty. The mean is going to be 5 lbf with a standard deviation of 0.16 lbf. Am I correct to say that the total uncertainty is going to be:

u = √((10 lbf * 0.01)2 + (0.16)2) = 1.01 lbf ?

In addition, I think I am missing a step because of the small sample size. Any help is appreciated in advance.
 
Mathematics news on Phys.org
  • #2
I am not sure what you mean by "total uncertainty". I would say that the associated uncertainty is the standard deviation 0.15 lbf.
 

FAQ: What is the Total Uncertainty in Measuring Force with a 0-10 lbf Load Cell?

What is uncertainty propagation?

Uncertainty propagation is the process of estimating the uncertainty in the output of a mathematical model or measurement, based on the uncertainties in the input variables.

Why is uncertainty propagation important?

Uncertainty propagation is important because it allows scientists and engineers to understand the potential errors and uncertainties in their calculations and measurements. This can help improve the accuracy and reliability of their results.

What is the difference between random and systematic uncertainties?

Random uncertainties are caused by random fluctuations or errors in measurements, while systematic uncertainties are caused by consistent biases or errors in a measurement system. Random uncertainties can be reduced by taking more measurements, while systematic uncertainties can be reduced by improving the measurement system.

How is uncertainty propagation calculated?

Uncertainty propagation is typically calculated using the law of propagation of uncertainty, which involves taking derivatives of the mathematical model or measurement to determine how changes in the input variables affect the output variable. This can be done using analytical or numerical methods.

What are some common sources of uncertainty in scientific measurements?

Some common sources of uncertainty in scientific measurements include instrument limitations, human error, environmental conditions, and variability in the measured quantity. It is important to identify and quantify these uncertainties to improve the accuracy and reliability of the measurements.

Similar threads

I Alternate expressions for the uncertainty propagation
Replies
1
Views
3K
I What is the correct definition of measurement uncertainty?
Replies
21
Views
2K
B Simple error propagation questions
Replies
4
Views
3K
I Propagation of Errors, Ohm's Law
Replies
6
Views
3K
A Uncertainty Propagation in Coupled Oscillator
Replies
9
Views
2K
Uncertainty Calculation for 6mV Input on Linear Force Measuring Device
Replies
1
Views
2K
I Propagation of Error when Taking the Average of Averages
Replies
19
Views
6K
Error analysis: propagation of error
Replies
15
Views
3K
Error propagation with dependent variables
Replies
2
Views
5K
The Physics Behind Applying Force with a Load Cell
Replies
6
Views
1K

Hot Threads

Recent Insights

Back
Top