Question

The basic breaking strength b in pounds for a natural fiber line is determined by the formula 900c² = b, where c is the circumference of the line in inches. What circumference of natural line would have 100 pounds of breaking strength?

Answer 1

To find the circumference of a natural fiber line that would have a breaking strength of 100 pounds, use the formula 900c² = b. Rearrange the formula to solve for c by substituting 100 for b and simplifying the expression. The circumference would be 1/3 inch.

Step-by-step explanation:

To find the circumference of a natural fiber line that would have a breaking strength of 100 pounds, we can rearrange the formula 900c² = b to solve for c. Start by substituting 100 for b:

900c² = 100

Divide both sides of the equation by 900:

c² = 100/900

Take the square root of both sides to find the value of c:

c = √(100/900)

Simplify the expression:

c = √(1/9)

c = 1/3

Therefore, a circumference of 1/3 inch would have a breaking strength of 100 pounds.