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2020vision
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Homework Statement
A cylindrical steel pressure vessel with volume 1.31 m^3 is to be tested. The vessel is entirely filled with water, then a piston at one end of the cylinder is pushed in until the pressure inside the vessel has increased by 1000 kPa. Suddenly, a safety plug on the top bursts. How many liters of water come out?
Homework Equations
B=0.2x10^10N/m^2
P1=P0+(rho)gh
P1=-B((Delta V)/V)
The Attempt at a Solution
I am assuming that I have to look for delta V as that would be the water that comes out causing the change in volume.
Delta V=-V(Delta P)/B=-1.31(1000)/(0.2x10^10)
Delta V= 6.55*10^-7
But this is not the right answer. I am confused as to where I'm going wrong.
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A second problem
Homework Statement
A long, thin rod of mass M and length L is standing straight up on a table. Its lower end rotates on a frictionless pivot. A very slight push causes the rod to fall over.
a) As it hits the table, what is the angular velocity of the tip of the rod?
b) What is the speed of the tip of the rod?
Homework Equations
v = wr
a = v^2/r=(w^2)r
v= (2(pi)(r))/T
The Attempt at a Solution
I am having trouble picturing what the question is asking.
a) w = v/r = (2(pi)r)/T/r = 2pi/T...don't know where to go from here
b) I think after I find w in a i just use v = wr
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