SOLUTION: The tension T on a cable varies directly as the cube of its surface S, and inversely as the square of its length L. If T=1 when S=2 and L=3, find T for S=4 and L=5/6..

Question 36427: The tension T on a cable varies directly as the cube of its surface S, and inversely as the square of its length L. If T=1 when S=2 and L=3, find T for S=4 and L=5/6..
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The tension T on a cable varies directly as the cube of its surface S, and inversely as the square of its length L. If T=1 when S=2 and L=3, find T for S=4 and L=5/6..
tension = k(S^3)/L^2
Need to find "k"
1=k(8)/9
k=72
Equation is now T=72(S^3)/L^2
Find T is S=4 and L=(5/6)
T=72(4^3)/(5/6)^2
T=72(64)/[(25/36)]
T=3200
Cheers,
Stan H.
T=

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