Question

The Achilles tendon is a fibrous tissue that connects your soleus to your calcaneus and can withstand 145 MPa of tensile stress. Assume the Achilles tendon can be modeled as a cylinder with a diameter with a diameter of 3.25 cm. How much normal tensile force (in Newtons) would the soleus need to generate to tear the Achilles tendon

Answer 1

F = 1.2 10⁵ N

Step-by-step explanation:

Force is defined by

P = F / A

F = P A

The area is

A = π r²

the radius is half the diameter

r = d / 2

A = π d²/4

we substitute

F = P π d²/4

let's calculate

F = 145 10⁶ π (3.25 10⁻²)²/4

F = 1.2 10⁵ N