Determine the relative elongation of skeletal muscle

Using the Kelvin-Voigt body model, it is necessary to calculate the relative elongation of skeletal muscle in 3 minutes under given parameters. To do this you need to use the formula:

ε = (σ/E) + (η*t/ρ)

where ε is the relative elongation, σ is the load on the muscle, E is the elastic modulus of the muscle, η is the viscosity coefficient, t is the duration of the load, ρ is the cross-sectional area of ​​the muscle.

Substituting the given values, we get:

ε = (6.3 N / 1.2 MPa) + (1.25 g/(cms) * 3 min * 60 s/min / 0.810^-6 m^2)

By solving this equation, we obtain the relative lengthening of the skeletal muscle in 3 minutes.

Don't forget that for the formula to work correctly, all values ​​must be in the same units of measurement.

Determine the relative elongation of skeletal muscle

This digital product is an electronic course that will help you master the basics of biomechanics and learn how to calculate the relative elongation of skeletal muscles.

The course includes a detailed description of the Kelvin-Voigt body model, which allows you to calculate the relative elongation of a muscle under given parameters. The course also provides examples of calculations and tasks for independent work.

By purchasing this product, you receive:

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The digital product is intended for students, teachers, researchers and anyone interested in the biomechanics and physiology of muscle work.

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To determine the relative elongation of skeletal muscle, modeled by the Kelvin-Voigt body, in 3 minutes, you must use the formula:

ε = (σ/E) + (η*t/ρ)

where ε is the relative elongation, σ is the load on the muscle, E is the elastic modulus of the muscle, η is the viscosity coefficient, t is the duration of the load, ρ is the cross-sectional area of ​​the muscle.

Substituting the given values, we get:

ε = (6.3 N / 1.2 MPa) + (1.25 g/(sms) * 3 min * 60 s/min / 0.810^-6 m^2)

Having solved this equation, we obtain the relative lengthening of the skeletal muscle in 3 minutes. The calculations give the following result:

ε = 0.00525 + 0.05625 = 0.0615

Thus, the relative elongation of skeletal muscle modeled by the Kelvin-Voigt body in 3 minutes is 0.0615.

The digital product is an electronic course that will help you master the basics of biomechanics and learn how to calculate the relative elongation of skeletal muscles. The course provides a detailed description of the Kelvin-Voigt body model, examples of calculations and tasks for independent work. By purchasing this product, you receive an electronic course in PDF format, access to online tests and assignments, as well as free updates and additions to the course. The product is intended for students, teachers, researchers and anyone interested in the biomechanics and physiology of muscle work.

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The relative elongation of skeletal muscle can be determined by the formula:

ε = (F * L) / (A * E)

where F is the load on the muscle, L is the elongation of the muscle, A is the cross-sectional area of ​​the muscle, E is the elastic modulus of the muscle.

To solve this problem, it is necessary to use the formula for determining the tensile elongation of a material:

L = (F * t) / (S * η)

where t is time, S is the initial length of the muscle, η is the viscosity coefficient of the muscle substance.

Substituting this formula into the formula for determining the relative elongation, we obtain:

ε = (F * t * E) / (A * S * h)

Substituting known numerical values, we get:

ε = (6.3 N * 3 min * 1.2 MPa) / (0.810^-6 m^2 * 1 m * 1.25 g/(cmc))

Carrying out the necessary transformations, we get:

ε = 1.512

Answer: the relative elongation of skeletal muscle, modeled by the Kelvin-Voigt body, in 3 minutes with the given parameters is 1.512.

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