Question Video: Calculating the Absolute Error of an Atmospheric Pressure Measurement | Nagwa Question Video: Calculating the Absolute Error of an Atmospheric Pressure Measurement | Nagwa

Question Video: Calculating the Absolute Error of an Atmospheric Pressure Measurement Physics

In an experiment, the atmospheric pressure at sea level on Earth is measured to be 101,150 Pa. Find the absolute error in the measurement using an accepted value of 101,325 Pa.

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Video Transcript

In an experiment, the atmospheric pressure at sea level on Earth is measured to be 101,150 pascals. Find the absolute error in the measurement using an accepted value of 101,325 pascals.

Okay, so in this experiment, there’s a measurement made of atmospheric pressure at sea level. We can refer to this measured value using a capital 𝑀, and we know it’s 101,150 pascals. We want to compare our measured value to an accepted value of atmospheric pressure at sea level given here. And specifically, we want to calculate the absolute error in this measurement compared to our accepted value that we’ll represent using a capital 𝐴. To do this, we can recall that the absolute error of a measured value is equal to the absolute value of the measured value subtracted from the accepted value.

Basically, we’ll take our measured value, capital 𝑀, and we’ll subtract it from our accepted value for atmospheric pressure at sea level. And we’ve called that value capital 𝐴. And then, lastly, we’ll take the absolute value of this difference. We can now substitute in the values for 𝐴 and 𝑀. And when we do and then calculate this difference, we find it’s equal to 175 pascals. That’s the magnitude of the difference between our measured and accepted values. And, therefore, it’s our absolute error.

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