How is uncertainty presented in physics?

In summary, uncertainty in physics is presented as a range between two values, the lower and upper bound. In the case of rounding a measurement to 5.76 m, the range of uncertainty would be between 5.755m and 5.765m. However, when the ruler used for measurement only goes down to 0.01 m, the range of uncertainty is limited to 5.75m - 5.77m. This may cause confusion between the lower and upper bound and the range of uncertainty. Some studies suggest that humans are capable of estimating within 1/10th of the smallest scale, such as within +/- 1mm if the smallest scale is centimetres.
  • #1
MBBphys
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Homework Statement


How is uncertainty presented in physics?
If we have:
5.76 m rounded-->wouldn't the range of uncertainty be between the lower and upper bound:
5.755m - 5.765 m
However, my physics teacher said that, as the ruler you are measuring with in this scenario goes down to 0.01 m, you cannot go below that, so the range of uncertainty:
5.75m - 5.77m
Am I confusing lower/upper bound and range of uncertainty here?

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  • #2
I agree with your interpretation.

At university one of our lecturers told us that humans were actually quite good at estimating to within 1/10th of the smallest scale. In other words if your smallest scale is centimetres then humans are quite good at estimating to within +/- 1mm.
 

FAQ: How is uncertainty presented in physics?

1. What is uncertainty in physics?

Uncertainty in physics refers to the inherent limitations in our ability to accurately measure and predict certain physical quantities, such as position, momentum, and energy. It is a fundamental principle in quantum mechanics and is often represented by the Heisenberg uncertainty principle.

2. How is uncertainty quantified in physics?

In physics, uncertainty is quantified using the concept of standard deviation, which measures the spread or variability of a set of data points. The higher the standard deviation, the greater the uncertainty in the measurements.

3. What causes uncertainty in physics?

Uncertainty in physics is caused by a combination of factors, including the limitations of measuring instruments, the imprecise nature of certain physical laws, and the inherent probabilistic nature of quantum mechanics.

4. How does uncertainty affect scientific experiments?

Uncertainty can have a significant impact on the results of scientific experiments by introducing errors and inaccuracies into the data. It is important for scientists to carefully consider and account for uncertainty in their experiments in order to make accurate conclusions and predictions.

5. Can uncertainty be reduced or eliminated in physics?

No, uncertainty is an inherent part of the laws of physics and cannot be completely eliminated. However, it can be minimized by using more precise measuring instruments and improving experimental techniques. Additionally, statistical methods can be used to quantify and account for uncertainty in data analysis.

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