A seconds pendulum is a pendulum having a time period equal to two seconds. These are the type utilized in pendulum clocks. Calculate the length of a seconds pendulum at a location where g = ^2 m/s ^2 .

Step-by-step solution

The time period of a simple pendulum is given by T = 2 L g . For a seconds pendulum, the time period is T = 2 s . Substituting T = 2 s and g = ^2 m/s ^2 : 2 = 2 L ^2 1 = ( L ) 1 = L L = 1 m