Derive an expression for the energy stored in a stretched wire
Answers
Answered by
2
Explanation:
we know, energy stored in the stretched wire = workdone by force on it. this is the expression of energy stored in wire , where F is force applied on wire and x is extension of wire
Answered by
1
Answer:
Heya
Hooke’s Law, F = -kx, where F is the force and x is the elongation.
The work done = energy stored in stretched string = F.dx
The energy stored can be found from integrating by substituting for force,
and we find,
The energy stored = kx2/2, where x is the final elongation.
The energy density = energy/volume
= (kx2/2)/(AL)
=1/2(kx/A)(x/L)
= 1/2(F/A)(x/L)
= 1/2(stress)(strain)
Similar questions
English,
5 months ago
Computer Science,
5 months ago
Science,
10 months ago
English,
10 months ago
Physics,
1 year ago