1) A sphere of copper that has a radius of 7 cm is compressed uniformly by a for
ID: 1416799 • Letter: 1
Question
1) A sphere of copper that has a radius of 7 cm is compressed uniformly by a force of 2.6 108 N. Calculate the change in volume of the sphere and the final radius. The bulk modulus for copper is 140 109 N/m2. V = _____ m3 Rf = ______ cm
2) A steel door is slammed shut when an earthquake occurs. There are shear forces acting on the door in the image below. If the shear strain is 0.006, calculate the force acting on the door with dimensions 0.033 m 0.81 m 1.92 m.
_______ N
3) Steel will ultimately fail if the shear stress exceeds 400 106 N/m2. Determine the force required to shear a steel bolt that is 0.65 cm in diameter.
________ kN
4) The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of the foot. This tendon is typically 25.0 cm long, is 5.0 mm in diameter, and has a Young's modulus of 1.47 109 N/m2. If an athlete has stretched the tendon to a length of 25.6 cm, what is the tension (in kilonewtons and pounds) in the tendon?
F = _______ kN F = _______ lbExplanation / Answer
bulk modulus is
k = - V ( del P/ del V)
del V = - V del P/K
= 4/3 pi r^3/ k ( F/ 4 pi r^2
del V = rF/3 k = ( 0.07)( 2.6 * 10^8)/ 3( 140* 10^9)
=4.33 * 10^-5 m^3
Rf = cube root 3V/ 4 Pi = cube root 3 ( 4.33 * 10^-5 m^3)/ 4 pi =0.0218 m or 2.18 cm
As per guide lines I worked first problem , please post remaining question s in the next post
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