A relaxed biceps muscle requires a force of 25.0N for an elongation of 3.0 cm; under maximum tension, the same muscle requires a force 500N

Question

A relaxed biceps muscle requires a force of 25.0N for an elongation of 3.0 cm; under maximum tension, the same muscle requires a force 500N for the same elongation. Find the Young’s modulus for the muscle tissue under each of these conditions if the muscle can be modeled as a uniform cylinder with an initial length of 0.200 m and a cross-sectional area of 50 cm^2.

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Gerda 3 years 2021-08-06T12:07:20+00:00 1 Answers 242 views 0

Answers ( )

  1. Amity
    -1
    2021-08-06T12:08:51+00:00
    Reply

    3.3 x10^4N/m²

    6.7 x105N/m²

    Explanation:

    Let the young modulus of the relaxed biceps be

    Y= F¹Lo/ deta L1 x A

    = 25 x0.2/ 0.03* 50cm²(1m²

    0.0004cm^-²)

    = 3.3×10^4N/m²

    But young modules of muscle under maximum tension will be

    Y= F”Lo/ deta L” x A

    = 500x 0.2/ 0.03* 50cm²(1m²

    0.0004cm^-²)

    = 6.7 x10^5N/m²

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