Acceleration Due To Gravity Using Simple Pendulum — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Acceleration due to gravity using Simple Pendulum Used in lab settings to determine local acceleration due to gravity using a small heavy bob and a light inextensible string. Restoring force F = -mg sin(theta) For small angles sin(theta) approx theta = x/L Equation of motion: d2x/dt2 + (g/L)x = 0 Time period T = 2 pi sqrt(L/g) Squaring and rearranging: g = 4 pi 2 L / T 2 Angular displacement must be small (theta < 15 degrees) for SHM approximation Air resistance must be negligible Support must be rigid and frictionless String must be inextensible and massless Thinking L is only the length of the string, neglecting the radius of the bob Believing the time period depends on the mass of the bob Assuming the formula is valid for large angular swings