Unformatted text preview: s. (This is Coulomb’s Law)
where T is the tension, µ is the linear mass9 of the string and L is the length of the vibrating
part of the string. Express this relationship using the language of variation. 7. According to this webpage, the frequency f of a vibrating string is given by f = 8. According to the Centers for Disease Control and Prevention www.cdc.gov, a person’s Body
Mass Index B is directly proportional to his weight W in pounds and inversely proportional
to the square of his height h in inches.
(a) Express this relationship as a mathematical equation.
(b) If a person who was 5 feet, 10 inches tall weighed 235 pounds had a Body Mass Index
of 33.7, what is the value of the constant of proportionality?
(c) Rewrite the mathematical equation found in part 8a to include the value of the constant
found in part 8b and then ﬁnd your Body Mass Index.
9. We know that the circumference of a circle varies directly with its radius with 2π as the
constant of proportionality....
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