How can I find out the Young's modulus of a material?

Right, so the Young's modulus of a material is a measure of it's rigidity. The higher the value of the Young's modulus, the more rigid the material is.

Ok, so the Young's modulus, E, is equal to the stress that the material experiences divided by the strain experienced by the material.

The stress, σ, of a material is equal to the force, F, applied to this material, divided by the area, A, upon which this force is applied. The equation for this is:

σ = F/A

On the other hand, the strain, ε, of the material is equal to the extension of the material, e (how much the material has extended by having this force applied to it), divided by the original length, l, of the material. The equation for strain is

ε = e/l

The Young's modulus is equal to the stress divided by the strain, so:

E= σ/ε = (F/A)/(e/l) = (F*L)/(A*e)

So, E = (F*l)/(A*e)

For example, If a metal wire of original length 2cm

William S. 11 Plus Maths tutor, A Level Maths tutor, 13 plus  Maths t...

5 months ago

Answered by William, an A Level Physics tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Tom V.

Degree: Mechanical Engineering (Masters) - Leeds University

Subjects offered: Physics, Maths


“About MeHello! I'm Tom, I'm in my first year studying mechanical engineering at the University of Leeds. I've always loved sicence, being particularly drawn to physics and maths from a young age. I loved the methodical, logical appro...”

£20 /hr

Rebecca N.

Degree: Physics (Masters) - Warwick University

Subjects offered: Physics, Maths+ 1 more

-Personal Statements-

“About me: I am currently a Physics student at the University of Warwick, this degree incorporates two of my passions,Physics and Mathematics! I am very personable and patient, throughout secondary school I volunteered with the maths h...”

£20 /hr

Graham R.

Degree: Geophysics with Geology (Bachelors) - Durham University

Subjects offered: Physics, Maths+ 1 more


“About Me I am a 3rd year Geophysics and Geology student at Durham University. Ever since I was small Maths seemed to click with me and I always found it easy to explain. These skills came in use when I was asked to be an academic ment...”

About the author

£20 /hr

William S.

Degree: Medicine (Other) - St. Andrews Unversity University

Subjects offered: Physics, Maths+ 1 more

Further Mathematics

“I am a medical student at the university of St Andrews. I have always loved maths and sciences, and hope to share that passion with you too! I am patient and very friendly, so hopefully you will enjoy our sessions. Of course, you will...”

You may also like...

Posts by William

How can I find out the Young's modulus of a material?

How do I solve x^2+6x+8=0?

Solve the simultaneous equations 5x + 3y = 24 and 3x - 4y = 26

Other A Level Physics questions

Why is the centripetal force necessary for circular motion?

A 0.20 kg mass is whirled round in a vertical circle on the end of a light string of length 0.90 m. At the top point of the circle the speed of the mass is 8.2 m/s. What is the tension in the string at this point?

How does stimulated emission work?

Atmospheric Pressure is about 1.0x10^5 Pa. What is the downward force of the air on a desktop of surface area 1m^2?

View A Level Physics tutors


We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss