Question

the period of a simple pendulum varies directly as the square root of its length if a pendulum 12 feet long has a period of 4 seconds find the period of a pendulum of length 3 feet?






the number of aluminum cans used each year varies directly as the number of people using the cans . if 250 people use 60,000 cans in one year . how many cans are used in a place which has a populatoin of 850 000 ?

Answer 1

The equation for the period can be written as follows:
\[T=k \times \sqrt{l}\]
where T = the period, k = a constant of proportionality and l = the length.
Substituting the given values into the equation enables us to find k as follows:
\[4=k \times \sqrt{12}\]
\[k=\frac{4}{\sqrt{12}}\]
Now we have a value for k we can go back to the original equation and substitute to find the period of a pendulum of length 3 feet:
\[T=\frac{4}{\sqrt{12}}\times \sqrt{3}\]
where T is the period in seconds. Can you finish it now?

Answer 2

@canilearnMath Are you there?