2. (40%) 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 3.1 V. 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? (6) Find the uncertainty of the applied force (o=32F/13 -c=95) (C) Which measurement contributes the largest uncertainty? Voltmeter Resolution 0.01V Input Excitation Output Linearity Hysteresis Thermal Strain-gage 0-100ksi 15 VDC 0-5V +0.4% of reading 20.5% of FS =0.3mv/C 2. (40%) 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 3.1 V. 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? (6) Find the uncertainty of the applied force (o=32F/13 -c=95) (C) Which measurement contributes the largest uncertainty? Voltmeter Resolution 0.01V Input Excitation Output Linearity Hysteresis Thermal Strain-gage 0-100ksi 15 VDC 0-5V +0.4% of reading 20.5% of FS =0.3mv/C