Solve the problem. Round your answer to two decimal places.
-The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 3 sec when the length is 36 inches, what is the period when $$\mathrm { L } = 2.25 \text { inches }$$
A) 3.5 sec
B) 3.25 sec
C) 3.75 sec
D) 0.75 sec

Question

Quizplus · Accepted Answer

The period of vibration $P$ for a pendulum is given by $P = k\sqrt{L}$, where $k$ is a constant and $L$ is the length. Given $P = 3$ sec when $L = 36$ inches, we can find $k$ by substituting these values: $3 = k\sqrt{36}$, which simplifies to $3 = 6k$, so $k = 0.5$. For $L = 2.25$ inches, $P = 0.5\sqrt{2.25} = 0.5 \times 1.5 = 0.75$ sec.

Solve the Problem L=2.25 inches \mathrm { L } = 2.25 \text { inches }L=2.25 inches

Solve the Problem $\mathrm { L } = 2.25 \text { inches }$