How Do You Calculate Young's Modulus from Wire Stretching Data?

AI Thread Summary
To calculate Young's modulus for a wire, the formula Y = (F/A)(ΔL/L) is used, where F is the force applied, A is the cross-sectional area, ΔL is the change in length, and L is the original length. In this case, the wire stretches 6.52 mm under a load of 0.92 kN, with a length of 4.97 m and a cross-sectional area of 0.104 cm². The correct values for force and area must be converted to consistent units, resulting in F = 920 N and A = 0.0000104 m². After correcting the calculations, the accurate Young's modulus can be determined. Proper attention to unit conversions and decimal points is crucial for obtaining the correct result.
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Homework Statement



A wire of length 4.97 m with a cross-sectional area of 0.104 cm2 stretches by 6.52 mm when a load of 0.92 kN is hung from it. What is the Young's modulus for this wire? Answer in Pa

Homework Equations



F/A = Y(Change in L / L)

where F is the magnitude of force
A = .104cm^2
Y= Young's modulus
Change in L = 6.52mm
L = 4.97 m

The Attempt at a Solution



I tried Y = (9025.2 N)(4.97 m) / (.00652 m)(.00104 m^2) but that is wrong
 
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Check your decimal points. F = 920N and A = .0000104m^2
 
ah.. thanks i got it now
 

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