What is the accuracy percentage when the gauge reads 5 psi with an accuracy of ±0.05 psi?

To determine the accuracy percentage when a gauge reads 5 psi with an accuracy of ±0.05 psi, it's essential to analyze the relationship between the accuracy range and the measured value.

The accuracy margin here is ±0.05 psi, which signifies that the true value could be as low as 4.95 psi or as high as 5.05 psi. To find the accuracy percentage, this margin (0.05 psi) needs to be compared to the gauge reading (5 psi).

The accuracy percentage can be calculated using the formula:

Accuracy Percentage = (Measurement Uncertainty / Measured Value) × 100

Substituting the values:

Accuracy Percentage = (0.05 psi / 5 psi) × 100 = 1%

This shows that the accuracy relative to the measured value of 5 psi is 1%. Therefore, the gauge reading exhibits a precision of 1% at this measurement level. This clarity in the calculation highlights the significance of understanding both the uncertainty in measurements and the context of the values they represent in terms of accuracy percentage.