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
: Increasing the length increases the period. Specifically, if you quadruple the length, you double the period. 3. Step-by-Step Data Analysis Most labs require you to solve for or predict a specific length. pendulum lab worksheet answers
: 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
: 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. Length ( )
4π2gthe fraction with numerator 4 pi squared and denominator g end-fraction : Rearranging the formula to find gravity: