Solution Found!
Answer: BIO Biceps Muscle. A relaxed biceps muscle
Chapter 11, Problem 24E(choose chapter or problem)
Problem 24E
BIO Biceps Muscle. A relaxed biceps muscle requires a force of 25.0 N for an elongation of 3.0 cm; the same muscle under maximum tension requires a force of 500 N for the same elongation. Find Young’s modulus for the muscle tissue under each of these conditions if the muscle is assumed to be a uniform cylinder with length 0.200 m and cross-sectional area 50.0 cm2.
Questions & Answers
QUESTION:
Problem 24E
BIO Biceps Muscle. A relaxed biceps muscle requires a force of 25.0 N for an elongation of 3.0 cm; the same muscle under maximum tension requires a force of 500 N for the same elongation. Find Young’s modulus for the muscle tissue under each of these conditions if the muscle is assumed to be a uniform cylinder with length 0.200 m and cross-sectional area 50.0 cm2.
ANSWER:
Solution 24E
Step 1:
We have to calculate the Young’s modulus when it is in relaxed condition.
Force on the muscle during relaxed condition, Frelaxed = 25 N
Cross sectional area of the muscle, A = 50 cm2
Converting cm2 to m2
So, 1 cm2 = 10-4 m2
Therefore, A = 50 × 10-4 m2
Length of the muscle, L = 0.2 m
Elongation of the muscle, ΔL = 3 cm = 0.03 m
Therefore, equation for the Young’s modulus,
That is,
Young’s modulus of the muscle tissue in relaxed state,