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Tensile stress given theta and force (I'm kinda desperate)
Aluminum wire is lightweight. You can hang a piece of it nearly horizontally with very little tension. After having done so, you then hang a HEAVY (25 kg) block from the wire. The wire sags to make an angle of 12 degrees with the horizontal. Determine the radius of the wire.
Stress / Strain = Modulus
Stress = Force / area = 25*9.8 / (pi)r^2
Strain = Delta L/L = [(L/cos12) - L / L] ?
Young's Modulus for aluminum = 70 x 10^9
(25)(9.8) / [(pi)(r^2)] = (0.022)(70*10^9)
r = 2.25 * 10^-4
This is wrong, Please give me solid advice and not simple hints please. I'm really tired of this problem and I'd like to solve it with as little guesswork as possible. I need to have a solution in a few answers. If you can help me I will love you till the ends of the earth.
Homework Statement
Aluminum wire is lightweight. You can hang a piece of it nearly horizontally with very little tension. After having done so, you then hang a HEAVY (25 kg) block from the wire. The wire sags to make an angle of 12 degrees with the horizontal. Determine the radius of the wire.
Homework Equations
Stress / Strain = Modulus
Stress = Force / area = 25*9.8 / (pi)r^2
Strain = Delta L/L = [(L/cos12) - L / L] ?
Young's Modulus for aluminum = 70 x 10^9
The Attempt at a Solution
(25)(9.8) / [(pi)(r^2)] = (0.022)(70*10^9)
r = 2.25 * 10^-4
This is wrong, Please give me solid advice and not simple hints please. I'm really tired of this problem and I'd like to solve it with as little guesswork as possible. I need to have a solution in a few answers. If you can help me I will love you till the ends of the earth.
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