Calculating change in volume (bulk modulus)

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To calculate the percentage change in volume of oil in a hydraulic system operating at 3000 psi, the bulk modulus of oil is given as 189,000 psi. The formula used is E = ∆p/(∆V)/V, but the initial attempt resulted in an incorrect value of -63. The user seeks clarification on the calculation and hints for using the increment symbol (∆) in LaTeX. Accurate computation is essential for understanding the system's behavior under pressure changes.
togo
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Homework Statement


a hydraulic system operates at 3000 psi. Compute the percentage change in the volume of the oil in the system as the pressure is increased from zero to 3000 psi if the bulk modulus of the oil is 189000 psi.

Homework Equations


E=∆p/(∆V)/V

The Attempt at a Solution


189 000 psi = -3000 psi/v
=-63
which is way off.

ps. by the way is it possible to use the increment symbol (∆) in latex font?
 
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any hints?
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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