Respuesta :
Answer:
2.035 m
Explanation:
The period of oscillation in a simple pendulum when the angle of swing is not too large relates to the length with the formula:
T = 2π√(L/g) where L is the length of the pendulum in meters, T is the period in seconds, and g is acceleration due to gravity in m/s^2
T can be calculated by
T = time of oscillations/ number of complete oscillations (complete swings)
T = 83/29 = 2.862s
Deriving an equation for L
T = 2π √(L/g)
Divide both side by 2π
T/ 2π = √(L/g)
Square both sides
T^2/4π^2 = L/g
Cross multiply
T^2 * g / 4π^2
Substitute in the values of the terms
(2.862^2) * 9.81 / ( 4 * 3.142 * 3.142) = 2.035m
