Force applied to a circular cantilever beam is estimated from the strain-gage read-out and measurements of beam dimensions. The readout of the strain-gage sensor is 3.40V. The length and diameter of beam were measured by a caliper which has a resolution of 0.01 in. Five measurements were made for both the length (mean=11.96", STD=0.05") and diameter (mean=1.05, STD=0.02"), respectively. The caliper has a resolution of 0.01 in. The measurements took place at a room temperature (20 °C). (a) What is the sensitivity of the sensor? (b) Find the uncertainty of the applied force (o = 32FI/3, c=95%) (c) Which measurement contributes the largest uncertainty? Voltmeter Strain-gage Resolution 0.01V Input 0-100ksi Excitation 15VDC Output 0-5V Linearity +4mv/ksi Hysteresis +0.4% of FS Thermal +0.3mv/ºC

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Force applied to a circular cantilever beam is estimated from the strain-gage read-out and
measurements of beam dimensions. The readout of the strain-gage sensor is 3.40V. The length and
diameter of beam were measured by a caliper which has a resolution of 0.01 in. Five measurements
were made for both the length (mean=11.96", STD=0.05") and diameter (mean=1.05, STD=0.02"),
respectively. The caliper has a resolution of 0.01 in. The measurements took place at a room
temperature (20 °C). (a) What is the sensitivity of the sensor? (b) Find the uncertainty of the
applied force (o = 32FI/3, c=95%) (c) Which measurement contributes the largest
uncertainty?
Voltmeter
Strain-gage
Resolution
0.01V
Input
0-100ksi
Excitation
15VDC
Output
0-5V
Linearity
+4mv/ksi
Hysteresis
+0.4% of FS
Thermal
+0.3mv/°C
Transcribed Image Text:Force applied to a circular cantilever beam is estimated from the strain-gage read-out and measurements of beam dimensions. The readout of the strain-gage sensor is 3.40V. The length and diameter of beam were measured by a caliper which has a resolution of 0.01 in. Five measurements were made for both the length (mean=11.96", STD=0.05") and diameter (mean=1.05, STD=0.02"), respectively. The caliper has a resolution of 0.01 in. The measurements took place at a room temperature (20 °C). (a) What is the sensitivity of the sensor? (b) Find the uncertainty of the applied force (o = 32FI/3, c=95%) (c) Which measurement contributes the largest uncertainty? Voltmeter Strain-gage Resolution 0.01V Input 0-100ksi Excitation 15VDC Output 0-5V Linearity +4mv/ksi Hysteresis +0.4% of FS Thermal +0.3mv/°C
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