(Solved): Help asap i'll give positive feedback show clear steps please  **)] 9 Q3. (6 Marks) A circular ...

**)] 9 Q3. (6 Marks) A circular steel diaphragm is used for design of pressure transducer. The natural frequency (f) and the pressure (P) function of deflection (y) of the diaphragm center are given by: II. 10.21 Et? na? V121-v2p 16Et ? -0.488 3R* (1 - v?) 7 Where P = pressure, a = radius of the diaphragm = 76 mm t = thickness of the diaphragm = 2.7 mm E = Young'smodulus = 1.9x1091 Pa, v = Poisson's ratio = 0.26, p = density of the diaphragm = 6x10 Kg/m a. Calculate the natural frequency fof the pressure transducer, and then deduce the range of frequency in which can be used this transducer. b. What would be the maximum operating pressure difference that could be applied if the maximum deflection at the center is restricted to = 0.14. c. What is the effect of larger diaphragm diameter on the maximum pressure and natu frequency? E Q3. (6 marks) For a circular diaphragm of the type and loading shown in figure below, the maximum normal stress occurs in the radial direction at the outer boundary, expressed as follows: P. Greatest linear deflection occurs at the center and is equal to Yu-Go )-v) 3 Pa 16 Er diaphragm type strainage where P-pressure, a-t-radius of the diaphragm, t-thickness of the diaphragm pressure pickup E-Young's modulus, vPoisson's ratio. For a-6,35 mm, E-20.68x10 Pa, and v=0.2, and for a design stress of 6.2x10 Pa, what maximum deflection may be expected if P-3x10° Pa?