Question

The measurement value of length of a simple pendulum is 20 cm known with 2 mm accuracy. The time for 50 oscillations was measured to be 40 s within 1 s resolution. Calculate the percentage of accuracy in the determination of acceleration due to gravity ‘g’ from the above measurement.

Answer 1

Given, 

Length of simple pendulum (l) = 20 cm 

absolute error in length (∆l) = 2 mm = 0.2 cm 

Time taken for 50 oscillation (t) = 40 s 

error in time ∆T = 1 s 

Solution: Time period for one oscillation (T)