The period of a pendulum is given by the formula T = 2$\pi$ $\sqrt { \frac { L } { g } }$
, where L is the length of the pendulum in feet, g = 32 ft/ $S ^ { 2 }$ is the acceleration due to gravity, and T is the length of one period in seconds. If the length of the pendulum is measured to be three feet long to within $\pm \frac { 1 } { 8 }$ inch, what is the approximate percentage error in the calculated period, T?

Question

The period of a pendulum is given by the formula T = 2$\pi$ $\sqrt { \frac { L } { g } }$ 
, where L is the length of the pendulum in feet, g = 32 ft/ $S ^ { 2 }$ is the acceleration due to gravity, and T is the length of one period in seconds. If the length of the pendulum is measured to be three feet long to within $\pm \frac { 1 } { 8 }$ inch, what is the approximate percentage error in the calculated period, T?

Quizplus · Accepted Answer

The Answer of The period of a pendulum is given by the formula T = 2$\pi$ $\sqrt { \frac { L } { g } }$ 
, where L is the length of the pendulum in feet, g = 32 ft/ $S ^ { 2 }$ is the acceleration due to gravity, and T is the length of one period in seconds. If the length of the pendulum is measured to be three feet long to within $\pm \frac { 1 } { 8 }$ inch, what is the approximate percentage error in the calculated period, T?

The Period of a Pendulum Is Given by the Formula π\piπ

The Period of a Pendulum Is Given by the Formula $\pi$