4π2gthe fraction with numerator 4 pi squared and denominator g end-fraction : Rearranging the formula to find gravity:

T=2πLgcap T equals 2 pi the square root of the fraction with numerator cap L and denominator g end-fraction end-root : Period (the time for one full swing back and forth).

The period ( ) of a simple pendulum is determined by the length of the string ( ) and the acceleration due to gravity (

: To get a straight line for your data, you should plot Period squared ( T2cap T squared ) vs. Length ( ) . The slope of this line is equal to

g=4π2LT2g equals the fraction with numerator 4 pi squared cap L and denominator cap T squared end-fraction 4. Sample Calculations How To Solve Simple Pendulum Problems

). Below are common answers for a standard pendulum lab worksheet. 1. The Core Equation The mathematical relationship for a simple pendulum is:

: Does not affect the period. If you double the mass, the period stays the same. Amplitude (Angle) : For small angles (usually less than 15∘15 raised to the composed with power ), the angle does not significantly affect the period.