Could somebody please tell me if we can apply young modulus theory to a slinky spring, or can only be applied to a rod when strenched?If possible to apply to the slinky spring, how can we calculate the elasticity of that slinky spring?by the way what is the process by which slinky springs are...
I have a question wondering if you guys could check over for me . I have a solution no sure on its accuracy!
the question is in two parts
a bar has a 25mm diameter and is subjected to a tensile force of 61Kn, the extension on a gauge length of 50mm is 0.1mm. calculate the youngs modulus in...
A hanging wire made of an alloy of titanium with diameter 0.14 cm is initially 2.9 m long. When a 97 kg mass is hung from it, the wire stretches an amount 1.49 cm. A mole of titanium has a mass of 48 grams, and its density is 4.54 g/cm3.
Based on these experimental measurements, what is...
We know that the Young's modulus of an object is defined as the ratio between its stress and strain:
Y = σ/ε
, or:
Y = F*L/A*ΔL
We also know that Hooke's law, which can be applied to any linear elastic object, can find spring constant:
F = k*x
, rearranged:
k = F/x
But is...
I did a practical worked the gradient and calculated E, of a wooden metre rule.
What I want is a value to compare my value with, I got 5 N/m2
So 5N will bend the ruler 1m? Seems likely right?
I am really finding it hard to work out Young's Modulus.
I have my stress / strain graph
I was told I should apply a gradient on the graph to work out youngs modulus
The strain is in (m) and the stress is in (nm-2)
How do I work out the youngs modulus, and what unit of measurement...
Homework Statement
The equation of state of a system consisting of a cylinder of a certain perfectly elastic material, subjected to an axial load F, is
F= CT(L-Li)^2
where Li is the unstretched length, L is the length under a load F when the temperature is T on a selected empirical...
Hello everyone,
I'm currently undertaking a work placement at the medical physics department of Leicester Royal Infirmary, investigating the potential application of a novel ultrasound technique in assessing carotid plaque.
As part of my research, I'm evaluating the accuracy of the...
I know that Young's modulus for a spring is Y= K*L/A
where K: is the stiffness of the spring
L: the original length of the spring
A: the cross sectional area
How does this formula change in the case of continuously distributed springs over a ring chain of radius R and a...
Homework Statement Original Cross sectional area 24.63mm^2
original diameter 5.6mm
Gauge length 35.07mm
Extension length of the point on the graph i have chosen: 0.25mm
Force at 0.25mm extension 3500N (or 3.5KN)
Homework Equations
(F/A0)/(ΔL/L)
The Attempt at a Solution
I have gone...
Homework Statement
Consider a metal bar of length L, cross-sectional area A, equilibrium atomic separation x, and Young's modulus E. When a tension force F is applied to the bar, it causes an extension ΔL. Calculate the atomic force constant k by deriving expressions for (a) the number of...
Homework Statement
I cannot work out how to calculate my percentage uncertainty for my coursework, i need to show that my second method has a reduced uncertainty than my first, could anybody please enlighten me as to how to work it out. My table for one of the practicals is attached
Homework...
I have a question
Elastic modulus in Tensile test
E = L*F / A*△L
Elastic modulus in bending test
E = F*L^3 / 4*w*t^3*D
I think Elastic modulus is changed by size of specimen.
I don't know why Elastic modulus is inherent propertie of metal??
Homework Statement
What is the point of using the micrometer in determination of young's modulus of a wire using SEARLES APPARATUS ?
[b]2. Homework Equations
wouldn't the micrometer measure the cross sectional area of the wire...and here we need to measure the extension. I know it is related...
Question:
Why is it not sensible to calculate the Young's modulus of the material (steel) when the experiments was conducted?
But I thought it should be possible to calculate the Young's modulus after plotting the stress/strain curve. Young's modulus can be found by finding the gradient of...
Homework Statement
Two bars, one composed of aluminum and one of steel are place end to end as shown in Figure P11.60. The bars are both initially of length L = 24 cm, and both have a square cross section with h = 3.9 cm. If a compressive force of F = 8440 N is applied to each end, find the...
A wire made of a particular material is loaded with a lod of 500 N. The diameter of the wire is 1mm. The length of the wire is 2.5 m, and it stretched 8mm when under load. What is the young modulus of this material?
My work
E= stress\strain
stress= F\A
r= d/2 ==> 1x10^-3 \ 2 =...
Homework Statement
Here's the question, verbatim;
We want to build a pressure using a block of elastic material, where the pressure applied to the top surface is measured by a strain gauge mounted on one of the side walls of the block. The gauge factor of the strain gauge is 2.5. When 1 mm Hg...
How to calculate Young's Modulus on trapezoidal shape ? Can't find the answer...
Hi guys.
I'm really stumbling over this question.
If I'm trying to calculate the Young's modulus of a specimen that is being compressed from the top, but the contact area on top is smaller than the bottom...
Homework Statement The radius of a rod is 0.146 cm, the length
of aluminum part is 1.2 m and of the copper
part is 2.76 m. The rods are connected. Determine the elongation of the rod if it is
under a tension of 3140 N. Young’s modulus
for aluminum is 7 × 1010 Pa and for copper
1.1 × 1011 Pa...
Young's modulus question...
Homework Statement
A sphere of radius 10 cm and mass 25 kg is attached to the lower ends of a steel wire which is suspended from the ceiling of a room. the point of the support is 521 cm above the floor. When the sphere is set swinging as a simple pendulum, its...
Homework Statement
Two different materials are being considered for a safety pad below a swing. Material 1 has a Young's Modulus twice that of Material 2. Which should be chosen?
A. Material 2, because the length over which the impact force acts is larger, resulting in a lower average...
Homework Statement
A 30kg sledge hammer strikes a steel spike of 2.30 cm diameter while moving at 20.9 cm/s. The hammer rebounds with a speed of 10.0 cm/s after 0.110 s. What is the average strain in the spike during impact?
Mass of hammer = 30 kg
Radius of Spike = 1.15 cm or 0.0115m...
Got exams in January so just want to make sure I am correct the questions read exactly like this
a) The sample of copper wire reached its elastic limit when the stress is 1.4x10^8 Pa and the strain is 0.035 Calculate the Young's Modulus for copper.
My attempt is Y= Stress/Strain => Y=...
Homework Statement
If you have two materials of equal length and radius and then you join them together.
Material 1 young's modulus = y1
material 2 young's modulus = y2
Homework Equations
F/a = y Lchange / Lo
The Attempt at a Solution
Given they are of the same length and radius...
Homework Statement
Dear Yahoo Answers,
Can someone please help me with this as it's driving me crazy!
We had to complete an experiment where had to calculate the Young’s modulus of Rubber,
by doing an experiment.
So we used a rubber band and various weights to calculate the values, to...
Homework Statement
A mass of 13.0 , fastened to the end of an aluminum wire with an unstretched length of 0.50 is whirled in a vertical circle with a constant angular speed of 130 . The cross-sectional area of the wire is 1.3×10−2 . The Young's modulus for aluminum is Pa.Calculate the...
I am using one film mateial (Polyester Polyurethane) for some purpose. I have got data sheet from the manufacturer with following details:
Durometer 90Shore A D 2240
Specific Gravity 1.19...
Homework Statement
Determine Young's Modulous (E) for the following materials:
Metal alloy - Test Piece 1 (TP1)
Low Carbon Steel - Test Piece 2 (TP2)
Copper - Test Piece 3 (TP3)
Each test piece has the same following dimentions - Length 25mm Diamter 4mm
Data:
TP1 = Force(kN) -...
Homework Statement
A wire of length L, Young's modulus Y, and cross-sectional area A is stretched
elastically by an amount ∆L. The restoring force is given by Hooke's Law as
k∆L.
b. show that the work done in stretching the wire must be: W = (YA/2L) x (∆L)^2.
The Attempt at a Solution...
Hi friends,
My work is related to simulation of the practical testing processes to the software testing methodologies using CAE :cool:
In short, I have an assembly(3d model or CAD data) for which I have to simulate the practical testing process to the software testing and compare the...
Homework Statement
6. A steel beam is used in the road bed of a bridge. The beam is mounted between two concrete supports when the temperature is 23⁰C, with no room for thermal expansion. What compressional stress must the concrete supports apply to each end of the beam, if they are to keep the...
Homework Statement
My graph doesn't look like a typical stress vs strain plot.
http://dl.dropbox.com/u/2344149/graph.png
* y-intercept set to zero and last 4 data points were ignored
Wire diameter= 1.16 mm
L0= 100.2 cm
\overline{}L'0= 0.015
Young's modulus for steel (actual)=...
Homework Statement
I'm completing a homework for Young's Modulus and one question asks to estimate the elastic limit for the wire which was used.
I can see where this approximately is on the graph I have drawn. When the question asks to estimate the elastic limit, does this mean to...
Homework Statement
2. As engineers, we wish to use a metal bar as a support arm on a crane. The bar has a
Young’s Modulus of 3x106psi . Assuming the rod will need to be 3ft long. Answer the
following questions…
a)If the crane is designed so that the
maximum tensile force on the rod is...
1. How to calculate cross sectional area and force for Young's Modulus? My main issue is that I don't know my F or my Ao. Help?
e=Constant 2.106
DeltaL=10mm
Lo (original length of elastic)= 200mm
f=?
Ao=?
2. E= FLo
Ao(Delta)L
F= EAoDeltaLength[U/]
Lo
F= [U](2.106)(10mm)(Ao)...
Homework Statement
By considering the force-separation curve for two adjacent atoms in a solid, f(x), show that the Young’s modulus can be expressed on the microscopic scale as:
Y = - \frac{1}{x_0} \frac{df}{dx}\right| |_{x=x_0}
(the | is meant to go allt he way form the top to bottom of...
Homework Statement
A 0.46 m long guitar string, of cross-sectional area 1.1 10-6 m2, has Young's modulus Y = 2.20 109 N/m2. By how much must you stretch the string to obtain a tension of 10 N?
Homework Equations
?
The Attempt at a Solution
I don't know how to begin this...
I am investigating the Young's Modulus of certain materials and what factors have an effect on the Young's Modulus of materials.
I am going to be altering the temperature, my hypothesis being that increasing the temperature will lower the E of the materials.
Are there other factors I could...
Hi everyone, :smile:
Apologies if this is in the wrong section, I'm still relatively new to the forum. :blushing:
I'm an engineer studying Young's modulus in building materials. I have a passing interest in physics, but let's say my knowledge of the subject is far from exhaustive...
1. Consider a steel guitar string of initial length L=1.00 meter and cross-sectional area A=0.500 square millimeters. The Young's modulus of the steel is Y=2.0 \times 10^{11} pascals. How far ( Delta L) would such a string stretch under a tension of 1500 Newtons?
Use two significant figures in...
Hello,
My question in this. If you have a system where two rods (different moduli of elasticity and different cross sectional areas, but equal in length) are compressed uniformally by a load, how do you calculate the compressive deformation in the rods. The compression of both will be...
Young's Modulus for Plastic URGENT
I was wondering what is the young's modulus for plastics because I am looking all over the internet and can't find anything? Its because in an experiment i calculated it to be 10.9GPa but i need to compare it to an actual value. Thanks
I was doing an experiment on Youngs Modulus, the set up is a steel bar fixed on both ends an a mass put on the centre. Measuring the depression and then drawing a graph of depression vs mass. then using the gradient of to get Youngs Modulus. And my peoblem is the gradient is hust too small, yet...
I have a project to measure young modulus by measuring the deflection of a beam under point mass. I have derived the equation but i am confused to how the end of beam should be placed to obtained best precision. Should it be both clamped end, freely supported end or a mixture of both?
My idea...
Had a problem with this question in my (Wilson Buffa Lou) College Physics book.
The problem says: A copper wire has a length of 5.0m and a diameter of 3mm. Under what load will its length increase by 0.3mm?
The answer in the back says 47N.
This is my work through the problem...
After a tough discussion with my friends, I opt to ask here because we aren't coming to an answer.
When stress is applied to a solid, let's say an iron rod, will the volume change, or when the length of the rod shrinks or stretches, the area of the cross sectional area will reduce or increase...
Not really a problem but a concept I am having trouble understanding and I was hoping someone can explain to me better.
We performed an experiment in lab last week on finding the Young's modulus of copper by projecting a laser on the wall to magnify the effect of the change in length of the...