How much would the reading of a pressure gauge change if its accuracy is ±1% at 25 psi?

How much would the reading of a pressure gauge change if its accuracy is ±1% at 25 psi?

• A. ±0.1 psi
• B. ±0.25 psi
• C. ±0.35 psi
• D. ±0.5 psi

Answer: (B)

To determine how much the reading of a pressure gauge would change given an accuracy of ±1% at a measurement of 25 psi, it's essential to calculate 1% of the measured value. 1% of 25 psi can be found using the formula: \[ \text{Change} = \text{Measurement} \times \left(\frac{\text{Accuracy}}{100}\right) \] So, substituting the values: \[ \text{Change} = 25 \, \text{psi} \times \left(\frac{1}{100}\right) = 0.25 \, \text{psi} \] This indicates that the reading of the pressure gauge could vary by ±0.25 psi around the measured value of 25 psi. Therefore, the correct change in the pressure reading, given an accuracy of ±1% at 25 psi, is indeed ±0.25 psi. This means that the gauge could potentially read between 24.75 psi and 25.25 psi. This approach shows that we correctly applied the accuracy percentage to the measured value, allowing us to identify the precise amount of variation expected in the reading due to the stated accuracy.

To determine how much the reading of a pressure gauge would change given an accuracy of ±1% at a measurement of 25 psi, it's essential to calculate 1% of the measured value.

1% of 25 psi can be found using the formula:

[

\text{Change} = \text{Measurement} \times \left(\frac{\text{Accuracy}}{100}\right)

]

So, substituting the values:

[

\text{Change} = 25 , \text{psi} \times \left(\frac{1}{100}\right) = 0.25 , \text{psi}

]

This indicates that the reading of the pressure gauge could vary by ±0.25 psi around the measured value of 25 psi. Therefore, the correct change in the pressure reading, given an accuracy of ±1% at 25 psi, is indeed ±0.25 psi. This means that the gauge could potentially read between 24.75 psi and 25.25 psi.

This approach shows that we correctly applied the accuracy percentage to the measured value, allowing us to identify the precise amount of variation expected in the reading due to the stated accuracy.