Instrumentation Measurements (Electrical Engineering)

Instrumentation Measurements (Electrical Engineering)

 

1. A copper metal wire is used as a strain gauge. The
resistivity is 1.68×10-8 Ω.m at 20. The length and cross-sectional
area of the wire are 5mm and 4*10-4 m2. The material elongates by
an amount of 0.2mm in 0.2mm increments until it reaches 6mm in
length. Assuming the volume remains constant, calculate the
resistance at each length. You should use the standard equation for
the resistance of a metal. What is that equation? Fill in the table
below. Show all calculations. Calculate the difference in
resistance between the resistance at each length and the resistance
before strain is added. Also, calculate the change in resistance
using the approximation found in equation 5.12 of your text. How
does the change in length change the resistance of the gauge? Is it
linear? Why or why not? (You can use Excel to create a plot and
paste it in your submission if you want?) How good is the
approximation? Length Cross-sectional area Resistance Initial
resistance (at 5mm) Change in the resistance Change in resistance
using Eq.5.12 5mm 5.2mm 5.4mm 5.6mm 5.8mm 6mm 2. A tensile force of
2150 N is applied to a 12 m steel beam with a cross-sectional area
of 5.2 x 10-4 –m2. Find the strain on the beam. 3. A strain gauge
has a GF (Gauge factor) = 2.03 and R = 110 ohms and is made from
wire with =0.0035/ at 25. The dissipation factor is given as PD =
20mW/. What is the maximum current that can be placed through the
strain gauge to keep self-heating errors below 1 of strain. 4. The
atmospheric pressure is 14.5 psi. If the absolute pressure is
2,865.6 psfa, what is the gauge pressure? 5. What is the gauge
pressure in (a) kPa, and (b) N/cm2, at a distance 5.5 ft below the
surface of a column of water? 6. What is the flow rate in liters
per second through a pipe 32 cm in diameter, if the average
velocity is 2.1 m/s? 7. A conveyer belt is traveling at 27 cm/s,
and a load cell with a length of 0.72m is reading 5.4 kg. What is
the flow rate of the material on the belt?

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