Q3: (a) An instrument is calibrated in an environment at a temperature of 20°C and the following output readings y are obtained for various input values x: y 13.1 26.2 39.3 52.4 65.5 78.6 x 5 10 15 20 25 30 Determine the measurement sensitivity, expressed as the ratio y/x. (b): When the instrument is subsequently used in an environment at a temperature of 50°C, the input/output characteristic changes to the following y 14.7 29.4 44.1 58.8 73.5 88.2 x 5 10 15 20 25 30 1- Determine the new measurement sensitivity. 2- Determine the sensitivity drift due to the change in ambient temperature of 30°C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
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Q3: (a) An instrument is calibrated in an environment at a temperature of 20°C
and the following output readings y are obtained for various input values x:
y 13.1 26.2 39.3 52.4 65.5 78.6
x 5 10 15 20 25 30
Determine the measurement sensitivity, expressed as the ratio y/x.
(b): When the instrument is subsequently used in an environment at a temperature
of 50°C, the input/output characteristic changes to the following:
y 14.7 29.4 44.1 58.8 73.5 88.2
x 5 10 15 20 25 30
1- Determine the new measurement sensitivity.
2- Determine the sensitivity drift due to the change in ambient temperature of
30°C.
Transcribed Image Text:Q3: (a) An instrument is calibrated in an environment at a temperature of 20°C and the following output readings y are obtained for various input values x: y 13.1 26.2 39.3 52.4 65.5 78.6 x 5 10 15 20 25 30 Determine the measurement sensitivity, expressed as the ratio y/x. (b): When the instrument is subsequently used in an environment at a temperature of 50°C, the input/output characteristic changes to the following: y 14.7 29.4 44.1 58.8 73.5 88.2 x 5 10 15 20 25 30 1- Determine the new measurement sensitivity. 2- Determine the sensitivity drift due to the change in ambient temperature of 30°C.
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