(3) Elastic constants: (a) Consider a cube of isotropic material and show that the bulk modulus Eq. (3.5) is related to Young's modulus Eq. (3.1) and Poisson's ratio Eq. (3.6) by K 3(1-2v) (b) What happens when v reaches its upper limit of 0.5? (4) Elastic constants: We have stated that the numerical value of Poisson's ratio is always between +0.5 and -1, but we have proven only the upper limit. Use Eq. (3.10) to argue why -1 is the...
Stress and strain are related by: a. Young’s Modulus b. Bulk Modulus c. Shear Modulus d. Hooke’s Law
Given that a sample of PTFE has a Young's modulus of 0.48 GPa and a bulk modulus of 2 GPa. Calculate the following: a) Poisson's ratio (v) to 3 decimal places v=
The isothermal bulk modulus (B) is defined as the reciprocal compressibility ( K potential by ofthe isothermal n ρ/ dP), ), Show that the modulus is related to the chemical Ec where p is the number density
2. A sound wave is travelling in a steel frane of a steel that has a Bulk modulus 160 GPa and density 7850 kg m. If the frequency of theound wave is 450 kHz (a) caleulate its wavelength. b) What happens to the wavelength if some of the steel is replaced by osmium (i. e. its density is higher)? (c) Explain the meaning of the Bulk modulus using a diagram of a physical ob ect. 2. A sound wave is...
An aluminium ball with Bulk Modulus of 70 x 10° N/M2 with radius of 0.5m falls to the bottom of the sea where the pressure is 150ATM. Calculate: a) What is the original volume of the ball b) What is the change in volume c) What is the new volume of the ball d) What is the bulk stress of the ball e) Calculate the bulk strain on the ball An aluminium ball with Bulk Modulus of 70 x 10°...
Since the density of air decreases with an increase in temperature, but the bulk modulus B is nearly independent of temperature, how would you expect the speed of sound in air vary with temperature?
Extra credit problem (5 pt) The isothermal bulk modulus (Br) is defined as the reciprocal of the isothermal compressibility (KIn p/aP)r). Show that the modulus is related to the chemical potential by where p is the number density
What is the bulk modulus of oxygen if 32.0 g of oxygen occupies 22.4 L, and the speed of sound in oxygen is 317 m/s?
What is the bulk modulus of oxygen if 38.7 g of oxygen occupies 25.5 L and the speed of sound in the oxygen is 342 m/s?