Question

A 30cm long tendon was found to stretch 9.0mm by a force of 11.2N.The tendon was approximately round with an average diameter of 8.9 mm.Calculate Young's modulus of this tendon.

Answer 1

Young's Modulus = 6 x 10⁶ Pa = 6 MPa

Step-by-step explanation:

First we need to find the stress on tendon:

Stress = Force/Area

Stress = 11.2 N/πr²

Stress = (11.2 N)/π(4.45 x 10⁻³ m)²

Stress = 180 x 10³ Pa

Now, we calculate the strain:

Strain = Change in length/Original Length

Strain = (9 x 10⁻³ m)/(0.3 m)

Strain = 0.03

Now, we calculate the Young's Modulus:

Young's Modulus = Stress/Strain

Young's Modulus = (180 x 10³ Pa)/0.03

Young's Modulus = 6 x 10⁶ Pa = 6 MPa