Solve the problem. Round the answer to the nearest hundredth.
-If a pendulum has a period of 1.2 seconds, find its length in inches. Use the formula $$\mathrm { T } = 2 \pi \sqrt { \frac { \mathrm { L } } { 384 } }$$
A) 14.01 in.
B) 28.01 in.
C) 0.35 in.
D) 7 in.

Question

Quizplus · Accepted Answer

The formula given is $T = 2\pi\sqrt{\frac{L}{384}}$, where $T$ is the period in seconds and $L$ is the length in inches. To find $L$, we rearrange the formula to solve for $L$: $L = \frac{T^2 \cdot 384}{4\pi^2}$. Substituting $T = 1.2$ seconds into the formula, we get $L = \frac{1.2^2 \cdot 384}{4\pi^2}$, which calculates to approximately 14.01 inches when rounded to the nearest hundredth.

Solve the Problem T=2πL384\mathrm { T } = 2 \pi \sqrt { \frac { \mathrm { L } } { 384 } }T=2π384L​​

Solve the Problem $\mathrm { T } = 2 \pi \sqrt { \frac { \mathrm { L } } { 384 } }$