A steel wire of length 2.06m with circular cross section must stretch no more than 0.250cm when a tensile (stretching) force of 360N is applied to each end of the wire. What minimum diameter is required for the wire? Express your answer in millimeters. Take Young's modulus for steel to be = 2.00×1011Pa. I know that I need to use the formula: Y's = (F*L)/(l*A). Where F is the force, L and A initial length and cross sectional area of the wire respectively and l is the actual stretch due to F, Since we are looking for "A" the formula is: A = (F*L)/(l*Y's).

Question

A steel wire of length 2.06m  with circular cross section must stretch no more than 0.250cm  when a tensile (stretching) force of 360N  is applied to each end of the wire. What minimum diameter  is required for the wire? Express your answer in millimeters. Take Young's modulus for steel to be  = 2.00×1011Pa. I know that I need to use the formula:  Y's = (F*L)/(l*A). Where F is the force, L and A initial length and cross sectional area of the wire respectively and l is the actual stretch due to F, Since we are looking for "A" the formula is: A = (F*L)/(l*Y's).

anonymous · Answer

What exactly is "I" in the problem? .25*10^-2??? All I want to know is what I plug in for "I" :)

anonymous · Answer

I did use (.25*10^-2). Was this to convert centimeters to meters?

anonymous · Answer

Yes ma'am.

anonymous · Answer

That is the correct value for l

anonymous · Answer

Thank you both very much!!