Posted by **richard** on Thursday, May 6, 2010 at 7:59pm.

Young's Modulus (Y) 20 X 1010 N/m2

Shear Modulus (S) 8.1 X 1010 N/m2

Bulk Modulus (B) 16 X 1010 N/m2

The table to the above represents various properties of steel. You have steel wire 4.9 meters in length that stretches 0.16 cm when subjected to a force of 400 N.

What would the diameter of the wire be if you wanted the wire to stretch 0.06 cm less when subjected to this same force?

- Physics hard... -
**drwls**, Thursday, May 6, 2010 at 8:46pm
You want the amount of stretching to decrease from 0.16 cm to 0.10 cm. That is 5/8 of the orginal stetching. To make that happen, the stress nust be decreased by a factor of 5/8. Since the load is the same, the area must increase by a factor of 8/5. The diamenter must increase by a factor sqrt(8/5) = 1.265

Now we have to figure out the original wire diameter -- the one that stretched 0.16 cm.

The wire that stretched 0.16 cm had an area A given by

F/A = Y * (deltaL)/L = 20*10^10*0.16*10^-2/4.9 = 6.53*10^7 N/m^2

A = 6.13*10^-6 m^2

D = sqrt[4A/pi} = 2.79*10^-3 m = 2.79 mm

The new wire diamneter is 1.265 times 2.79 mm, or about 3.5 mm

## Answer this Question

## Related Questions

- chemistry - The Young’s modulus for steel is 20.7*1010 N/m2. How much will a 2.5...
- Shear Modulus - Hi there, quick question: How would you find the shear modulus ...
- physics - The Young's modulus for steel is 2x1011 and its rigidity modulus is ...
- physics - The Young's modulus for steel is 2x1011 and its rigidity modulus is ...
- physics - A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young...
- Physics - In a design for a piece of medical apparatus, you need a material that...
- physics - A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (...
- Material Sciences - The molar crosslink density of a rubber is measured to be ...
- Physics - When subjected to a force of compression, the length of a bone (...
- physics - When subjected to a force of compression, the length of a bone (...

More Related Questions