Modulus Definition and 583 Threads

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Hi This looks like an easy question but I'm stumped and would appreciate some help. A rod is made of two sections joined end to end. The sections are identical, except that one is steel and the other is brass. While one end is held fixed, the other is pulled to result in a change in...

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.)...

Heres my problem. Youngs modulus for lead: 1.6exp10 N/m^2. Density of Lead: 11,4g/cm^3. Mass of one mole lead: 207g Model the interactions as if they were connected by springs. Determine distance between lead atoms and approx spring constant. Easy enough Y= K/d But what is bugging me...

Is it possible to find the yield stress of a material with only modulus of elasticity and Poisson's ratio? I was given a problem that: What is the min. aluminum needed to support a block (10 Newton) to 1 meter high? E=70GPa and v=0.3 are the only given aluminum properties. I would know...

I need to solve: \left| 2x-3 \right| = 5 - x^2 I started by squaring the equation because modulus functions can only be positive and obtained: x^4 -14x^2 +12x +1 = 0 I haven't olved any quadnomial equations before, so I don't know where to start. Any help would be much appreciated.

hi I've been reading through some notes and I can't see where a step comes from. I understand that |x| = \left\{\begin{array}{cc} x,& \mbox{ if } x\geq 0\\-x, & \mbox{ if } x \leq0 \end{array}\right The equation I'm stuck on reads as f(x) = 1 - | 1- x | \mbox{on} [-2,2] =...

I am proving that (sqrt)2 |z| >= |Re z| + |Im z|. The professor gave this as an example, but I want to ask something... Why is it that I can't use this strategy: -> |Re z| <= |z| -> |Im z| <= |z| -> adding corresponding expression yields |Re z| + |Im z| <= 2|z|. (what's wrong here?)

I have z=-(1/2)-(sqrt3/2)i r=|z| is this right? r=cos*2Pi/3+i*sin*Pi/3 = 1 + sqrt3/2*i Now I have to find Z^2004, how do I do that?

I am working on my extended essay in IB Physics and would like to have some experimental data. More specifically I need Young's modulus of spaghetti (Panzani -- if possible :). In case you've done a lab or some other research where you calculated this value, please send me a link (or just any...

o:) hi, this is me again.i was wondering if you could teach me how to do these 2 questions (?) means to the power of 1)a)find the remainder when 7(100) (I.E 7 TO THE POWER OF 100) is divided to the power of 25( i know that you are supposed to use mod10 or mod25 or something, but...

Feeling a little bit more confident about my calculus skills I was hoping to check if this is correct. Let’s say you have: g(|f(x)|) And you want to take the derivative with respect to x, well using the chain rule you get: \bigl( g(|f(x)|) \bigr)' = (|f(x)|)' g'(|f(x)|) Looking more...

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?

( l 2-x l ^2 ) - 2 l 2-x l = 15 ((2-x)^2) = 15 + 2 l 2-x l ------1 ((2-x)^2) = -15 - 2 l 2-x l------2 Am I doing correctly?

Anybody knows the formula for bulk modulus? Need answers ASAP

"2 rods of equal length (0.45m) and diameter (1.5cm) are placed end to end. one rod is aluminium, the other is brass. if a compressive force of 8400N is applied to the rods, how much does their combined length decrease?" [ans: 0.55mm) with this question, I am not sure whether its ok to find...

Suppose z1 = a + bi, z2 = c + di are complex numbers. When does |z1 + z2| = |z1| - |z2|? (with || is modulus) It seems obvious that this is the case when z2 = 0, but are there other solutions? According to the book, no. But after 2 days, I still cannot solve it! :cry: Here is what I...

what is modulus of rigidity and shear modulus? What do they define?

If Aluminum and steel are connected as one rod, and are attached to the wall and is pulled upon. How would the change in length for each material of the rod be calculated? I'm given that the Aluminum section is twice as long as the steel section, and the total change in length of the whole rod...

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...

Youngs Modulus Hey guys, i tried this problem on youngs modulas and got the wrong answer So i was wondering if anyone could tell me where i went wrong here or tell me how to do it properly. Problem: A 20cm brass wire of radius 1.0mm experiences an elongation of 0.49mm when a...

Young's modulus for bone is 1.5x10^10 N/m^2 and that bone will fracture if more than 1.5X10^8 N/m^2 is exerted. What is the max force that can be exerted on the femur if the effective diameter is 2.5cm? Y=F/A 1.50x10^8N/m^2 =\frac{F}{\pi (0.0125m^2)^2} F=73631N is that correct? if...

Hi All, I have been working on a product development project and have run into a snag that I was hoping I could get some advice on. We need to determine the mechanical properties of a thin-walled nickel tube. Specifically young's modulus and yield strength. The current wall thickness...

what is the relationship between e-modulus and melting temp?

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...

I am able to proove to myself, through generalised substitution, that the integral of f'(x)/f(x) is lnf(x)+c, but where do the modulus signs come from? ie - The accepted integral is ln|f(x)|+c, not lnf(x)+c Thanks in advance. :smile:

Can somebody give me a short defination of youngs modulus? I think its the way a material acts under pressure, is this correct?

I've done a search for some help on my problem, but I haven't seen anything resemble it. Anyway my question is the following: Not all dielectrics that separate the plates of a capacitor are rigid. For example, the membrane of a nerve axon is a bilipid layer that has a finite compressibility...

Hello again, I don't understand how to derive equations. #1 C = YI / r Y = Young's modulus of the material r = radius of curvature of the neutral surface I = geometrical moment of inertia of the cross section of the beam C = bending moment #2 I = wt^3 / 12 I = moment of inertia...

Young's modulus problem -- need a hint There are two wires, one brass the other copper, both 50 cm long and 1.0 mm diameter. They are somehow connected to form a 1m length. A force is applied to both ends, resulting in a total length change of 0.5 mm. Given the respective young's moduluses of...

I am doing my A2 physics coursework of the bending of cantilevers [zz)] I hung masses on a steel bar and measured the deflection, and then used a formula to calculate the Youngs Modulus of the steel, but the answer I got was way out - 9.6X10^9 instead of 200X10^9. Is this because I calculated...

Hello, I was wondering if anyone could tell me the young's modulus of: Graphite, Wood, Steel, Glass, Titanium, and Aluminium... I know this is a strange thing to ask, but it would really help me understand more fully the way Graphite compares with other materials. Search engines...

youngs modulus... there are two rods rod1 , made of brass - length L1=2m area of cross section A1 2x10^-4 m^2 and young's modulus y1= 10^11 rod 2 , made of steel , length L2 , cross sectional area A2=10^-4 m^2 and youngs modulus y2 = 2x10^11 . the question is if the two rods are fixed end...