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please answer b and c mni a. Define Hooke\'s law, stress, strain, and Young\'s m

ID: 1788578 • Letter: P

Question

please answer b and c

mni a. Define Hooke's law, stress, strain, and Young's modulus. Give the units where appropriate. b. In his lab, a scientist found a wire lying on the floor. After feeling the wire, he became inter- ested in finding its mechanical properties. Specifically, he wanted to find the force in pounds that might be required to stretch it by 0.12 percent. With a micrometer, he measured the diameter of the wire to be 0.16. The wire was made of steel, which he looked up in the tables of constants, and found a listing of Young's modulus to be 30 x 10 lb/in2 c. The wa rranty on your new tires will become void if you do not maintain proper inflation of the tires. Assume a car tire is filled to a pressure of 34 Ib/in' on a cold day when the temperature

Explanation / Answer

Force F = YA (delta L/L)
Y =30x106 lb/in2
A = pi d2/4 = 3.14*0.162/4 = 0.02 in2
Delta L /L = 0.12/100 = 0.0012

F = 30x106 * 0.02 * 0.0012 = 720 lbsf

c) Pressure varies directly with tempreture in kelvin
Pi/Ti = Pf/Tf
   34/258 = Pf/325
Pf= 42.8 lb/in2