The amount of time it takes for a pendulum to swing "to-and-fro" through one complete
cycle is called the "period" and is calculated using the following equation: $$T = 2 \pi \sqrt { \frac { L } { g } }$$
where
$$\begin{aligned}
T & = \text { period in seconds } \
L & = \text { length of pendulum } \
g & = \text { gravitational acceleration, } 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 }
\end{aligned}$$ What is the appropriate unit for L if the preceding equation is to be homogeneous in units?

Question

Quizplus · Accepted Answer

The Answer of The amount of time it takes for a pendulum to swing "to-and-fro" through one complete
cycle is called the "period" and is calculated using the following equation: $$T = 2 \pi \sqrt { \frac { L } { g } }$$
where
$$\begin{aligned}
T & = \text { period in seconds } \
L & = \text { length of pendulum } \
g & = \text { gravitational acceleration, } 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 }
\end{aligned}$$ What is the appropriate unit for L if the preceding equation is to be homogeneous in units?

The Amount of Time It Takes for a Pendulum to Swing