Question

the maximum load that a hori-zontal beam can carry is directly proportional to its width. if a beam 1.5 inches wide can support a load of 250 pounds, find the load that a beam of the same type can support if its width is 3.5 inches.

Answer 1

The load that the same type of beam can support is 583.345 pounds if its width is 3.5 inches.

As the maximum load that can be carried by the beam is directly proportional to the width of the beam and a 1.5 inches wide beam can support a load of 250 pounds, an equation can be written as;

L = kw

Here L represents the maximum load supported and w represents the width and k is the constant of proportionality. Therefore;

250 = k × 1.5

Solving for k;

k = 250 ÷ 1.5

k = 166.67

Therefore the equation can be written as;

L = 166.67 w

As the width of the same type of beam is 3.5 inches, the maximum load it can support can be calculated as follows;

L = 166.67 × 3.5

L = 583.345 pounds

Therefore; 583.345 pounds is the maximum load that the beam can support if its width is 3.5 inches.

To learn more about the constant of proportionality, click here:

brainly.com/question/27510615

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