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The tolerance range for a pressure gauge is 2% on the low end and 3.6% on the high end. If the desired reading is 2.05 psi, what is the range for the gauge to the nearest thousandth?

A. 1.978 psi to 2.091 psi
B. 2.009 psi to 2.091 psi
C. 1.978 psi to 2.122 psi
D. 2.009 psi to 2.124 psi

Answer :

To find the tolerance range for a pressure gauge, you calculate the lower and upper limits by adjusting the desired reading with the given percentages. For a desired reading of 2.05 psi, the tolerance range is from 2.009 psi on the low end to 2.124 psi on the high end, which corresponds to answer choice D.

The question you're asking involves calculating the tolerance range for a pressure gauge based on a percentage of its desired reading. Given that the desired reading is 2.05 psi, with a tolerance of 2% on the low end and 3.6% on the high end, you can determine the range of acceptable pressure readings.

To calculate the lower tolerance value, multiply the desired reading by (1 - 0.02), and for the higher tolerance value, multiply the desired reading by (1 + 0.036).

Let's calculate each:

Lower limit: 2.05 psi * (1 - 0.02) = 2.05 psi * 0.98 = 2.009 psi

Upper limit: 2.05 psi * (1 + 0.036) = 2.05 psi * 1.036 = 2.124 psi

So, the tolerance range for the pressure gauge is from 2.009 psi to 2.124 psi. The correct answer choice that matches this calculation is D. 2.009 psi to 2.124 psi.

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