Modulus Definition and 612 Threads

Hi there, I am currently looking to measure the tensile strength using Young’s Modulus for steel and brass. My results I have obtained are comparable with published values of E. My question is regarding the formulae, the one I used was: E = F/x X l/a Where a is the original cross section...

Homework Statement Q 1. A spider with a mass of 0.26 g hangs vertically by one of its threads. The thread has a Young’s modulus of 4.7 x 10^9 N/m2 and a radius of 9.8 x 10^- ^6 m. a) What is the fractional increase in the thread’s length caused by the spider? b) Suppose a 76 kg person...

Homework Statement If a star has an apparent magnitude of -.4 and a parallax of .3'' what is : a) the distance modulus b) the absolute magnitude Homework Equations m is the apparent magnitude and M is the absolute magnitude m-M =5 log d - 5 M= m + 5+5 log(pi''), pi'' is the parallex angle...

Homework Statement The strain in a rubber ring on a rim of a wheel of radius 0.40m is 3*10^-3 when the wheel is stationary. The normal push of the rim on the ring just becomes zero when the wheel is rotating at angular speed 'omega'. Calculate the value of 'omega' if Young's Modulus for the...

Hi. I was wondeirng if anyone knew the modulus of elasticity for Basswood and Balsa wood under compression.. I found numbers but its all different.

Hi there! Can anyone help me with a problem. I did an experiment at school trying to measure the Young's modulus of a copper wire. We attached one end of the copper wire to a clamp and then tied on weights of 100g at a time to the other end so that a force can be applied to the copper wire...

Is "The modulus function" one function or two? f(x) = |x| suggests one, but f(x)=x, x>=0, f(x)=-x, x<0, suggests two.

norm is defined to be the length of the vector and we put we denote it by ||a||. However, modulus |a| also means the length of a from the origin? So, what is the difference between the symbol || || and | |?

I'm working on some basic number theory. I came across an idea and I'm having trouble finding a general solution. A == X mod (L-k) k^2 == Y mod (L-k) It is the equivalent of: ( k^2 - A ) / ( L - k ) = integer A and L are two different pre-chosen numbers. I know L-k is a prime number...

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...

Homework Statement How do you simplify : 1^3+2^3+3^3+4^3+...+99^3+100^3(mod4) Please try to explain the solution as detailed as possible or atleast so I can understand it. :smile:

I've got a computer plot showing relations between stress and strain for steel. But how can I find the modulus of elasticity (E) from the graph? Isn't it so that E=(stress/strain)? The thing is that I get very different answers when I compute E in this way for various points on the graph.

Homework Statement Hang a 0.25 kg rock from the end of a spring. If the spring stretches 0.25 m, what is the spring constant? Homework Equations i'd assume F/A=Y(Change in L/Lo) The Attempt at a Solution I can do it if there was Area, but there isn't. there's probably another...

Homework Statement i just want to know what the modulus of the speed (u) would if Homework Equations u = (-2/r)er + (2/r)etheta The thing is i get confused with the er and etheta ..do these just mean the direction...this topic is fluid mechanics The Attempt at a Solution i reckon...

Homework Statement The asteriod Ceres has a mass of 1.11x10^21 kg and a diamter 772km. Ceres orbits the sun at an average distance of 414 million kilometers. Estimate the change in length of a 2m length of thin copper wire caused by hanging a 1.5kg mass on the wire on the asteriod Ceres. ...

Hello, I am currently carrying out an dynamic investigation of young's modulus for various linear materials such as copper, steel, and nylon but I am unsure how to find the modulus for wood. I have several ideas including fixing one end of a sample length of wood to bench while placing a...

Homework Statement Prove the formula of modulus of rupture using the third point loading test. R = Pl/bd^2 P: load at fracture l: length b: width d: depth Homework Equations...

I'm attempting to calculate the elastic modulus of some steel samples throught tensile testing. Unfortunately I've come across the common problem of finding a value that is 2 to 3 times lower than the expected value (due to innacurate displacement measurements). Can anyone suggest another...

Homework Statement X mod m is the remainder when x is divided by m. This value is called a residue. Find all perfect squares from the set of residues mod 16. The Attempt at a Solution There was a suggestion that this would become clearer when the definition of perfect square was...

A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each foot is 25 N, the cross-sectional area of each foot is 20 cm2, and the height of the soles is 5.0 mm. Find the horizontal distance traveled by the sheared face of the sole. The shear modulus of the...

An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has a length of 14.5 m and a cross-sectional area of 8.25 {\rm cm}^{2}. When operating, the ride has a maximum angular speed of 8.50 rev/min. How much is the rod stretched then? Take the Young's...

An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has a length of 14.2 m and a cross-sectional area of 7.80 cm^2. Each car plus two people seated in it has a total weight of 1950 N. When operating, the ride has a maximum angular speed of 7.50 rev/min...

A wire of length 4.95 m with a cross-sectional area of 0.103 cm^2 stretches by 6.55 mm when a load of 0.94 kN is hung from it. What is the Young's modulus for this wire? FA = Y (delta L/L) 0.103 (cm^2) = 1.03 × 10-5 m^2 6.55 millimeters = 0.00655 meters = 9221.4 N x 1.03 × 10-5 m^2 =...

A large sponge has forces of magnitude 17 N applied in opposite directions to two opposite faces of area 43 cm2 (see the figure below ). The thickness of the sponge (L is ")3 cm. The deformation angle (g is ")8.4°. (a) What is delta x? (b) What is the shear modulus of the sponge? delta x =...

The question is: Show that if p == 1 mod 4, then (a/p) = (-a/p). (Note that == means congruent). I know that if X^2==a mod p (p is a prime) is solvable then a is a quadratic residue of p. For an example, I let p = 5 since 5==1 mod 4. Then, I let X = 2 and 4 just to check the equation...

A piece of nylon rope used by a mountaineer extended by 1.5 m when carrying the load of the 80 kg mountaineer. If the total length of the rope is 50 m and its diameter is 10 mm, determine the Young’s of this material. If the Poisson’s ratio of nylon is 0.1, determine the change in the diameter...

If I have thin shell like a beach ball inflated with air how would I calculate the change in radius and resistance there of due to the pressure inside the sphere? I have calculated the strain on the sphere to be Pr/2h where P=pressure r=radius h= thickness by cutting the sphere in half and...

Distance modulus derivation (I hope this is the correct subforum) I was wondering if anyone can help me, I am hoping to show a derivation of the distance modulus m - M = 5log(d/10) It looks very similar to the m = m(sun) - 2.5log((L/L(sun)).(r(sun)/r)^2) so I'm assuming that they...

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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.

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...

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...