Question

In: Physics

The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel...

The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of the foot. This tendon is typically 17.0 cm lont 6.00 mm in diameter, and has a Young's modulus of 1.35×109 Pa. If an athlete has stretched the tendon to a length of 17.9 cm, what is the tension ?, in newtons, in the tendon?

T=___________________N

Solutions

Expert Solution

Young's modulus of the tendon = E = 1.35 x 10^9 Pa

Diameter of the tendon = D = 6 mm = 0.006 m

Cross-sectional area of the tendon = A

Length fo the tendon = L = 17 cm = 0.17 m

Length of the stretched tendon = L1 = 17.9 cm = 0.179 m

Amount the tendon has stretched = L

L = 0.009 m

Tension in the tendon = T

Stress in the tendon = = T/A

Strain in the tendon = = L/L

T = 2020.5 N

Tension in the tendon = 2020.5 N


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