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.
Question
Leave a Comment
You must be logged in to post a comment.
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.
You must be logged in to post a comment.
Answer:
Young’s Modulus = 6 x 10⁶ Pa = 6 MPa
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