Question 507544
First write the equation of proportionality:
{{{L = k*w*d^2/l}}} To find the value of k, the constant of proportionality, substitute the given values of: L = 2000, w = 2, d = 8, and l = 16
{{{2000 = k*2*8^2/16}}} Solve for k. Multiply both sides by 16.
{{{32000 = k*128}}} Divide by 128.
{{{k = 250}}} so we can rewrite the first equation as:
{{{L = 250*w*d^2/l6}}} Now we can find the safe load, L, for the given parameters: w = 8, d = 2, and l = 16.
{{{L = 250*8*2^2/16}}}
{{{L = 8000/16}}}
{{{L = 500}}}pounds.