: 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.
4π2gthe fraction with numerator 4 pi squared and denominator g end-fraction : Rearranging the formula to find gravity: pendulum lab worksheet answers
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). : Does not affect the period
: Length of the pendulum (measured from the pivot to the center of the mass). : Acceleration due to gravity (approximately on Earth). 2. Common Variables & Relationships 4π2gthe fraction with numerator 4 pi squared and
: 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.
). Below are common answers for a standard pendulum lab worksheet. 1. The Core Equation The mathematical relationship for a simple pendulum is: