vMaster0fPuppet said: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 deltaV)/VThe Attempt at a Solution
V= (.870m)^3= .659m^3
Vn= (.857m)^3= .629m^3
deltaV= V-Vn= .03m^3
p=(1.4e^10N/m^2)x(.03m^3)/(.659m^3)= 6.37e^9N/m^2This is apparently not the answer?
vMaster0fPuppet said:Its 10^11, and I did the calculations with 10^11.
Thanks anyway, I actually figured the problem out. When I used .870^3-.857^3 for deltaV the calculations worked just fine. I didn't realize that making the calculation easier by breaking it up would cause such a problem if I used the correct number of significant figures.
Hydrolic pressure is the force per unit area exerted by a liquid on its container or any surface it comes into contact with. It is typically measured in units of pressure, such as pounds per square inch (psi) or pascals (Pa).
Hydrolic pressure is calculated by dividing the force applied by the area over which it is applied. The formula for hydrolic pressure is P = F/A, where P is the pressure, F is the force, and A is the area.
Bulk modulus is a measure of a substance's resistance to compression when subjected to hydrolic pressure. It is a constant that relates the change in volume of a substance to the change in pressure applied to it. Bulk modulus is typically measured in units of pressure, such as psi or Pa.
Bulk modulus and hydrolic pressure are directly related. As hydrolic pressure increases, the substance's bulk modulus also increases, meaning it becomes more difficult to compress. Conversely, as hydrolic pressure decreases, the substance's bulk modulus decreases, making it easier to compress.
Hydrolic pressure and bulk modulus have many practical applications, including in hydraulic systems, such as car brakes and heavy machinery, where the pressure of a liquid is used to produce motion or force. They are also important in determining the stability of structures, such as dams and bridges, as well as in the study of fluid dynamics and geology.