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Agenda. Learn some new information. Finish Chicken Stretching Lab Plot your data. Answer Post-Lab Questions Discuss muscle hypertrophy and muscle atrophy. More about Young’s Modulus. Young’s modulus is a measure of the material’s resistance to deformation .
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Agenda • Learn some new information. • Finish Chicken Stretching Lab • Plot your data. • Answer Post-Lab Questions • Discuss muscle hypertrophy and muscle atrophy.
More about Young’s Modulus • Young’s modulus is a measure of the material’s resistance to deformation. • Young’s modulus quantifies how much stress is required to generate a give strain. • Independent of the size or shape of the object • Only depends the material the object is composed of. • Copper has a modulus of 120 x 109 Pa. • Steel has a modulus of 200 x 109 Pa. • Thus, steel is more resistant to deformation then is copper.
Viscoelasticity • When an elastic material containing fluid is deformed the return of the material to it’s original shape is time delayed. • Viscoelastic materials exhibit both an elastic response and viscous damping. • Bones, tendons, ligaments, cartilage, muscle, and skin are all viscoelastic.
Properties of a Viscoelastic Material • The mechanical response of a viscoelastic material are time and velocity dependent. • Viscoelastic materials exhibit: • a hysteresis • a creep response • a force relaxation response • Are time dependent, if the force is held for a longer time they exhibit greater hysteresis. • A velocity dependent, stiffness of the material increases with increasing velocity of loading.
Creep • Creep is a time dependent response of viscoelastic tissues. • The muscle-tendon complex is loaded with a weight. • When the load is initially applied the muscle undergoes deformation. Following this initial deformation the muscle continues to deform at a much lower rate, this later deformation is creep.
Loading Tissues • Muscle tissue adapts to training, or application of an overload stress, by increasing cross-sectional area as individual fibers increase in diameter. • How many of you saw this occur during the lab?
Graphing Your Data • Pull out your data from last class. • Sit with your partners. • Steps to Graphing: • Find domain and range of your data. • Determine the scale for each axis. • Label axes with values, titles and units. • Plot your points.
Determine Domain and Range Domain Range Range: change iny-values. Look for your maximum y-value Stress will be your value Find the range for each sample: Range of Sample 1: Range of Sample 2: Which sample has the larger range? • Domain: change in x-values. • Look for your maximum x-value • Strain will be your x-value • Find the domain for each sample: • Domain of Sample 1: • Domain of Sample 2: • Which sample has the larger domain?
Determine Scale X-axis Range Choose the larger range set. Find an incremental value that would be a good scale to go from the smallest value to the largest value: i.e. if your range is 0-200, a possible incremental value is 10 • Choose the larger domain set. • Find an incremental value that would be a good scale to go from the smallest value to the largest value: • i.e. if your domain is 0-50, a possible incremental value is 5 You want your increment to be small enough to capture your data, but large enough to fit on your graph.
Label Axes X-Axis Y-Axis Using your incremental value, number your axis from 0 to just beyond your maximum range value. Label your axis: Stress Give units:Pa • Using your incremental value, number your axis from 0 to just beyond your maximum domain value. • Label your axis: Strain • Give units: N/A
Plot Points • Plot each point. • Recommendation: Plot all of your Sample 1 points. • Highlight them one color using a marker. • THEN plot Sample 2 points. • Highlight them a different color. • Create a Key. • Note: You may have to estimate some of the points if they don’t fit exactly on the line.
Calculations • Label elastic limit • Calculate Young’s Modulus **IF YOU CANNOT CALCULATE THE YOUNG’S MODULUS, PLEASE EXPLAIN A POSSIBLE SOURCE OF ERROR THAT YIELDED YOUR RESULTS***
Post-Lab Questions • Think back to when you were testing the chicken, what did you observe happening to the chicken muscle as more mass was added to your sample? • Did you see creep occur while testing your chicken sample? Use your data to support your answer. • Explain why you saw the cross-sectional area of your sample increase as you added more weight. What is happening here? • Why do you think it is important to complete this lab? What information can we learn that can be applied to sports biomechanics?