Bulk modulus Definition and 62 Threads

The bulk modulus (



K


{\displaystyle K}
or



B


{\displaystyle B}
) of a substance is a measure of how resistant to compression that substance is. It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume. Other moduli describe the material's response (strain) to other kinds of stress: the shear modulus describes the response to shear, and Young's modulus describes the response to linear stress. For a fluid, only the bulk modulus is meaningful. For a complex anisotropic solid such as wood or paper, these three moduli do not contain enough information to describe its behaviour, and one must use the full generalized Hooke's law. The reciprocal of the bulk modulus at fixed temperature is called the isothermal compressibility.

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  1. V

    Hydrolic Pressure and Bulk Modulus

    Homework Statement A solid copper cube has an edge length of 87.0 cm. How much pressure must be applied to the cube to reduce the edge length to 85.7 cm? The bulk modulus of copper is 1.4 multiplied by 1011 N/m2.Homework Equations Vcube= s^3 F/A=(B x deltaV)/V p=F/A p=(B x...
  2. I

    Question Regarding Bulk Modulus

    The deepest point in any ocean is in the Mariana Trench, which is about 11 km deep, in the Pacific. The pressure at this depth is huge, about 1.13 X 10^8 N/m^2. (a) Calculate the change in volume of 1 m3 of seawater carried from the surface to this deepest point. wrong check mark m3 (b)...
  3. S

    Calculating Velocity with Bulk Modulus and Modulus of Rigidity

    proof of velocity =\sqrt{\frac{B+\frac{4*n}{3}}{density}} B bulk modulus n modulus of rigidity
  4. D

    Understanding Bulk Modulus: Explaining the Relationship with Pressure and Volume

    Homework Statement My textbook says, delta V = [-3V delta p (1 - 2c)] /E where, delta V = change in volume delta p = change in pressure c = poisson's ratio E = young's modulus Taking the limit as delta p tends to zero, we can write the bulk modulus K as, K = -V dp/dV but I'm not...
  5. S

    Work done in Compressing a fluid in a piston (Bulk Modulus)‏

    Homework Statement I am trying to solve one theoretical problem. If I had an Iron piston cylinder with radius of 1 cm, such that it contains 1 liter of water(therefore about 318 cm tall), ( say Bulk Modulus of water is 1 GPascal), How much work(in joules) will be required to depress...
  6. O

    Relationship between bulk modulus and elastic constant

    I am getting the bulk modulus from fitting the equation of states and calculating the elastic constant. It seems that there is some relationship between bulk modulus B and elastic constant Cij, B=Cij/9,where i,j run from 1 to 3. But my result is far away from this, say B=50 from fitting EOS and...
  7. A

    What is the relationship between bulk modulus and pressure in an ideal gas?

    The questions is that The equation of state (the equation relating pressure, volume, and temperature) for an ideal gas is pV=nRT, where n and R are constants. a.) Show that if the gas is compressed while the temperature T is held constant, the bulk modulus is equal to the pressure. b.)...
  8. H

    How to Find the Mass Per Unit Volume Density of a Compressed Ball?

    A solid ball of a special plastic material is to be used as a replacement joint for a patient’s hip. The mass per unit volume density of the ball is 900 kg/m3 and its radius is 1.5 cm. The ball is subjected to a test in which it is subjected to an increase in external pressure of 2 X 10 8...
  9. I

    Calculating Bulk Modulus of a Liquid

    I am doing a project on water hammer. I need the formula for the bulk modulus of a liquid not just for water. Can anyone provide me with the formula?
  10. I

    Find the Formula for Bulk Modulus

    Anybody knows the formula for bulk modulus? Need answers ASAP
  11. F

    What is the relationship between pressure and density in a body of water?

    An incerase of pressure of one atmosphere, causes a reduction of 49*10^-^6m^3 in a volume of 1m^3 Give the value of the bulk-modulus of water. Calculate the denisty of the water of a lake, at a depth of 200 metres, assuming that the density of water is 1000kgm^-^3 at the surface...
  12. J

    What is the explanation for this discrepancy?

    When I calculate the Bulk modulus for a metall with the free electron model I get a value that is twice the experimental value. I find this strange. With the free electron model i don't get the contribution from the ion cores and the bound electrons, right? Do these have a negavite...
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