1) The measurement is 15.5, the tolerance is 5. Whats the precision, uncertainty, range, nominal value and precent error?
2) The measurement is 14.5, the tolerance is 6. Whats the precision, uncertainty, range, nominal value and percent error?
3) The uncertainty is 15, the nominal value is 625. What's the tolerance, min value, max value and measurement?
please help thank you!!!
1) To determine the precision, uncertainty, range, nominal value, and percent error, we need to understand the definitions of these terms:
- Precision: Precision refers to the level of detail or the number of significant figures in a measurement. It can be determined by counting the number of digits after the decimal point.
- Uncertainty: Uncertainty represents the degree of doubt or error associated with a measurement. With the given tolerance of 5, we can assume that the uncertainty is ±5, meaning the measurement can vary by 5 units either above or below the nominal value.
- Range: The range is the difference between the maximum and minimum values. In this case, it would be the nominal value ± the tolerance (15.5 ± 5).
- Nominal value: The nominal value is the target or expected value. In this case, it is 15.5.
- Percent error: The percent error is a measure of the accuracy of a measurement, indicating how close the measurement is to the true value. It can be calculated using the formula: [(Measured value - True value) / True value] × 100.
Now let's calculate the requested values for the given measurements:
1) Precision: The measurement is 15.5, which has one digit after the decimal point, so the precision is 1.
Uncertainty: The uncertainty is ±5.
Range: The range is 15.5 ± 5, which is 10.5 to 20.5.
Nominal value: The nominal value is 15.5.
Percent error: To calculate the percent error, we need the true value of the measurement. If we have the true value, we can substitute it into the percent error formula.
2) Precision: The measurement is 14.5, which also has one digit after the decimal point, so the precision is 1.
Uncertainty: The uncertainty is ±6.
Range: The range is 14.5 ± 6, which is 8.5 to 20.5.
Nominal value: The nominal value is 14.5.
Percent error: Again, we require the true value to calculate the percent error.
3) Uncertainty: The uncertainty is given as 15.
Nominal value: The nominal value is given as 625.
Tolerance: The tolerance is the uncertainty ± the nominal value (625 ± 15).
Min value: The minimum value is 625 - 15.
Max value: The maximum value is 625 + 15.
Measurement: We don't have the measurement value in this case.
Please note that percent error requires the true value or the accepted value to be known. Without that information, we cannot calculate the percent error accurately.