Young's Modulus

Young's Modulus

Young's modulus measures the resistance of a material to change in length.

### Formula

$$Y=\frac{Longitudinal\ Stress}{Longitudinal\ Strain}$$

### Expanded Form

$$Y=\frac{F/A}{\Delta L/L}$$

### Simplified Form

$$Y=\frac{FL}{A\Delta L}$$

### Terminologies

- Y → Young's modulus.

- F → Applied force.

- L → Original length.

- A → Area.

- ΔL → Extension.

### SI Unit

$$Nm^{-2}$$

### Dimensions

$$[Y]=[ML^{-1}T^{-2}]$$

### Conditions / Special Cases

Higher Y means material is more rigid.

### Usage

- Used in wire stretching problems.