MHB Find force with Young's modulus

Click For Summary
To calculate the force applied by a piano tuner to stretch a steel wire, Young's modulus (E) for steel is given as 20.0 x 10^10 Pa. The original length (L_0) of the wire is 1.35 m, and the change in length (ΔL) is 8.5 mm, converted to meters as 0.0085 m. The radius (r) of the wire is 0.425 mm, or 4.25 x 10^-4 m. The formula for force (F) is F = E * π * r^2 * ΔL / L_0, which incorporates these values to determine the force in Newtons. This calculation is essential for understanding the mechanical properties of materials under stress.
cbarker1
Gold Member
MHB
Messages
345
Reaction score
23
Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.50 mm, if the wire is originally 0.850 mm in diameter and 1.35 m long. (Young's modulus for steel is 20.0 1010 Pa.)

Work F=Y*A*change in L/L_0

I have no idea what is L_0 and L_f? Please help me.
 
Mathematics news on Phys.org
$L = 1.35 \, m$

$\Delta L = 8.5 \times 10^{-3} \, m$

$r = 4.25 \times 10^{-4} \, m$

$E=2.0 \times 10^{11} \, N/m^2$$F = \dfrac{E \cdot \pi r^2 \cdot \Delta L}{L}$

ymod.gif
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 8 ·
Replies
8
Views
7K
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 4 ·
Replies
4
Views
4K