A diaphragm pressure transducer uses the deflection of a circular membrane to indicate the pressure. The membrane is composed of a steel alloy with an elastic modulus of E = 30,000,000 psi, Poisson's ratio of µ = 0.33, and density of p = 0.28 Ibm/in³. The diaphragm has a radius of a = 0.625 in. and a thickness of t = 0.125 in. The transducer has a 10 psi maximum reading. a. What is the resonant frequency for the diaphragm? b. Consider frequencies well below resonance. If you would like to know the pressure to within 0.25% of full scale, how accurately must the membrane deflection be measured (in inches)? Neglect the uncertainties in the dimensions and material properties of the diaphragm.

A diaphragm pressure transducer uses the deflection of a circular membrane to indicate the pressure. The membrane is composed of a steel alloy with an elastic modulus of E = 30,000,000 psi, Poisson's ratio of µ = 0.33, and density of p = 0.28 Ibm/in³. The diaphragm has a radius of a = 0.625 in. and a thickness of t = 0.125 in. The transducer has a 10 psi maximum reading. a. What is the resonant frequency for the diaphragm? b. Consider frequencies well below resonance. If you would like to know the pressure to within 0.25% of full scale, how accurately must the membrane deflection be measured (in inches)? Neglect the uncertainties in the dimensions and material properties of the diaphragm.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

For a conductive wire with length L=1cm,w=1mm, h=1mmunder uniaxial strain, the resistance change is given as. If the uniaxial strain is e= 1 and the Poisson’s ratio is n= 0.3. What is the gauge factor?
Calculate the stress state at C (populate the stress tensor.)
Q.2 A thin cylindrical shell, 1.5 m internal diameter, 2-4 m long, internal volume 4-23 m³, plates 25 mm thick, is under internal pressure of 1 N/mm². Assuming the end plates are rigid, find the changes in length, diameter, and volume. E=206,000 N/mm²; v=0.267.00 ART
As shown in the figure, when the temperature was 20 ° C, a 0.5 mm gap was left. Just determine the approximate value (° C) of the temperature required to close the gap.
A rod has a diameter of 1/2 inch and a length of 4 feet. Determine the equivalent spring constant of the rod in pounds per foot. (E=10x10^6 psi)
I need the answer as soon as possible
3 kN/m 2 m 4 m What is the equation for M,? M1 = 2.5 x1 B M1 = 3.5 x1 M1 = 1.5 x1 (D M = 4.5 x1
For each of the loading experiments below, write down the stress tensor that describes the state of stress at the origin (assume these are infinitestimal cubes). State what sign-convention you are using. 2P. V 10 Pa 2 Pa B.
The input and output relationship of a temperature measurement system is given in the table. Find the the output value for 59°C Temperature deflection 60° C 5mm 61°C 5.0833 mm
3) A thin-walled cylindrical pressure vessel of diameter of 1.5 m is subjected to an internal pressure that varies continuously from p_min= 0.8MPa to p_max = 4 MPa. Determine the pressure vessel thickness, t, if the pressure vessel is made from steel with an ultimate strength S_u=400 MPa, a yield strength S_y=300MPa, and an endurance limit S_n-150MPa and a safety factor of two is desired. Use Modified Goodman and the maximum normal stress theory.
A load of Ft = 700 N comes to the free wheel of a car. The coefficient of friction between road and tire is µT = 0.8. Wheel radius is twice the disc friction radius (Rt = 2 Rs), µ = 0.35 between pad and disc and allowable pressure p = 0.5 N/mm2 Determine the pad sizes and the hydraulic pressure that should be sent to the piston. Piston's diameter is d = 30 mm.
A silicon carbide ball with 5 mm in diameter has volume based CLTE (a,) of 8.1 x106/°C. If the ball is heated from 100 to 1750°F, calculate the increase in diameter. Convert first the temperature to °C. Note: (AV/V) = (V-V.)/Vo= av AT