Simple pendulum: finding g

A/L Physics · G.C.E. Advanced Level · Grades 12–13

Aim

To find the acceleration due to gravity g using a simple pendulum.

Apparatus

Method

  1. Set the length L from the point of suspension to the centre of the bob.
  2. Displace by a small angle (< 10°) and release.
  3. Time 20 oscillations, t, and work out T = t ÷ 20.
  4. Repeat for different L and calculate T².
  5. Plot T² against L; the gradient = 4π² ÷ g.

Conclusion

T² ∝ L (a straight line through the origin). g = 4π² ÷ gradient ≈ 9.8 m s⁻².