Posted by Phil on Thursday, October 28, 2010 at 11:01pm.
A 13 cm long animal tendon was found to stretch 3.8 mm by a force of 13 N. The tendon was approximately round with an average diameter of 9.0 mm. Calculate the elastic modulus of this tendon.

URGENT  URGENT, Thursday, October 28, 2010 at 11:32pm
URGENT

Physics  Kris, Saturday, October 30, 2010 at 3:31pm
*First, calculate the area:
Area = (pi)r^2 = (π)4.5^2 = 63.6173 mm^2 = 0.0000636173 m^2
*Now, use this equation to find E, the elastic modulus:
E = (F/A) ÷ (ΔL/L0)
*Convert all length measurements to m and then plug and chug:
E = (13/0.0000636173) ÷ (0.0038/0.13) = 6 990 816.05 = 7.0 x 10^6
*Elastic modulus is measured in N per m^2, so the final answer is 7.0 x 10^6 N/m^2

Physics  Kris, Saturday, October 30, 2010 at 3:39pm
Further notes:
*Found r by taking diameter and dividing by two
*F = force = 13 N, listed in the problem
*A = area, which was found above (to convert from mm to m, multiply the mm figure by 10^3; to convert from mm^2 to m^2, multiply the mm^2 figure by 10^6, or twice the exponent of the conversion from mm to m)
*ΔL = 3.8 mm, listed in the problem
*L0 (a.k.a. "L initial") = 13 cm, listed in the problem

Physics  Kris, Saturday, October 30, 2010 at 3:44pm
Oh, and the equation for Young's modulus (the elastic modulus), E = (F/A) ÷ (ΔL/L0), is actually stress divided by strain:
Stress = F/A
Strain = ΔL/L0
Answer This Question
Related Questions
 physics  A 13 cm long animal tendon was found to stretch 3.8 mm by a force of ...
 physics  A 15cmlong tendon was found to stretch 3.7 mm by a force of 13.4 N. ...
 Physics  The Achilles tendon, which connects the calf muscles to the heel, is ...
 Physics  The Achilles tendon, which connects the calf muscles to the heel, is ...
 Mechanics  A tendon is stretched slightly under the force T of 1000 N. How much...
 Physics  The Achilles tendon, which connects the calf muscles to the heel, is ...
 College Physics  As part of an exercise program, a 75 kg person does toe raises...
 physics  When you stand on your tiptoes, your feet pivot about your ankle. As ...
 Physics  Human feet and legs store elastic energy when walking or running. They...
 physics  The figure is taken from a paper (Am J Sports Med 2004 32: 477) on ...
More Related Questions