4.4 Homework Problems: Interpolation on Linear Equations
1. Find the corresponding y value given the ordered pairs and x value
a. (4,100) and (20, 420) where x = 12
y = _______________________________
b. (1, 30) and (5,300) where x = 3.5
y = _______________________________
c. (0,32) and (10, 212) where x = 8
y = _______________________________
d. (0, 0) and (4095, 100) where x = 3010
y = _______________________________
2. If you have a temperature transmitter with an operating range of -40 to 150 °C and it outputs a value of 4 – 20 mA. Find the temperature value if the transmitter is outputting 10 mA
Ordered pairs: ___________________________________
Equation: __________________________________
Temp value at 10 mA = _______________________________________
3. If you have a pressure transmitter with an operating range of 30 to 3000 psi and it outputs a 1 to 10 V signal, what would be the corresponding pressure value if the transmitter is outputting 4.97 V
Ordered pairs: ___________________________________
Equation: __________________________________
Pressure value at 4.97 V = _______________________________________
4. If you have a pressure transducer that is designed for a 4-20 mA output, and has an operating range of 3-15 psi, what would the corresponding pressure be if the current is measured at 12 mA?
Ordered pairs: ___________________________________
Equation: __________________________________
Pressure value at 12 mA = _______________________________________