SOLUTION: Solve for I: P sub CR = (n*pi^2*E*A)/((L/sqrt(I/A))^2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve for I: P sub CR = (n*pi^2*E*A)/((L/sqrt(I/A))^2)      Log On


   

Question 188784: Solve for I: P sub CR = (n*pi^2*E*A)/((L/sqrt(I/A))^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P%5BCR%5D=%28n%2Api%5E2%2AE%2AA%29%2F%28%28L%2Fsqrt%28I%2FA%29%29%5E2%29 Start with the given equation.


P%5BCR%5D%28L%2Fsqrt%28I%2FA%29%29%5E2=n%2Api%5E2%2AE%2AA Multiply both sides by %28L%2Fsqrt%28I%2FA%29%29%5E2


%28L%2Fsqrt%28I%2FA%29%29%5E2=%28n%2Api%5E2%2AE%2AA%29%2F%28P%5BCR%5D%29 Divide both sides by P%5BCR%5D.


L%2Fsqrt%28I%2FA%29=sqrt%28%28n%2Api%5E2%2AE%2AA%29%2F%28P%5BCR%5D%29%29%29 Take the square root of both sides.


L=sqrt%28I%2FA%29%2Asqrt%28%28n%2Api%5E2%2AE%2AA%29%2F%28P%5BCR%5D%29%29%29 Multiply both sides by sqrt%28I%2FA%29.


L%2Fsqrt%28%28n%2Api%5E2%2AE%2AA%29%2F%28P%5BCR%5D%29%29=sqrt%28I%2FA%29 Divide both sides by sqrt%28%28n%2Api%5E2%2AE%2AA%29%2F%28P%5BCR%5D%29%29.


%28L%2Fsqrt%28%28n%2Api%5E2%2AE%2AA%29%2F%28P%5BCR%5D%29%29%29%5E2=I%2FA Square both sides


L%5E2%2F%28sqrt%28%28n%2Api%5E2%2AE%2AA%29%2F%28P%5BCR%5D%29%29%29%5E2=I%2FA Square each term on the left side.


L%5E2%2F%28%28n%2Api%5E2%2AE%2AA%29%2F%28P%5BCR%5D%29%29=I%2FA Square the square root to eliminate it.


%28L%5E2%2AP%5BCR%5D%29%2F%28n%2Api%5E2%2AE%2AA%29=I%2FA Multiply the first fraction by the reciprocal of the second fraction.


%28L%5E2%2AP%5BCR%5D%2AA%29%2F%28n%2Api%5E2%2AE%2AA%29=I Multiply both sides by A.


%28L%5E2%2AP%5BCR%5D%2Across%28A%29%29%2F%28n%2Api%5E2%2AE%2Across%28A%29%29=I Cancel out the common terms.


%28L%5E2%2AP%5BCR%5D%29%2F%28n%2Api%5E2%2AE%29=I Simplify


So the solution is I=%28L%5E2%2AP%5BCR%5D%29%2F%28n%2Api%5E2%2AE%29