You have a 15 cm^3 block of copper that you wish to make into a cylindrical wire. If the Young's modulus for copper is 117 x10^9 N/m^2, how long must the wire be for it to have an effective spring stiffness of 194 kN/m? 1.658e 6 x m Expert Answer Ston 1

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In this question, they put 15e-6 for V. Where did this number come from?

You have a 15 cm^3 block of copper that you wish to make into a cylindrical wire. If the Young's
modulus for copper is 117 x10^9 N/m^2, how long must the wire be for it to have an effective
spring stiffness of 194 kN/m? 1.658e 6
x m
V Expert Answer
Step 1
stiffness of wire is given by,
AE
%3!
where V = AL
A = ?
Now,
k = VE
L2
Step 2
k = VE
15*10“m•117*10°Nim?
= 194 * 10°N/m
L2 = 9.05
L = 3.00m
L = 300 cm
Transcribed Image Text:You have a 15 cm^3 block of copper that you wish to make into a cylindrical wire. If the Young's modulus for copper is 117 x10^9 N/m^2, how long must the wire be for it to have an effective spring stiffness of 194 kN/m? 1.658e 6 x m V Expert Answer Step 1 stiffness of wire is given by, AE %3! where V = AL A = ? Now, k = VE L2 Step 2 k = VE 15*10“m•117*10°Nim? = 194 * 10°N/m L2 = 9.05 L = 3.00m L = 300 cm
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