# Calculate the time period of a simple pendulum

Aim To Calculate the time period of a simple pendulum
Apparatus  A meter rule, a stand, a metal bob, good quality sring, stop clock ect
Formula  Time period  $T=&space;2\pi&space;\sqrt{\frac{l}{g}}$
Figure
Procedure  1. Displace the pendulum about 5º from its equilibrium position and let it swing back and forth. Measure the total time that it takes to make 10 complete oscillations. Record that time in your spreadsheet.
2. Increase the length of the pendulum by about 10 cm and repeat the measurements  made in the previous step until the length increases to approximately 1.0 m.
3. Calculate the period of the oscillations for each length by dividing the total time by the number of oscillations, 10. Record the values in the appropriate column of your data table.
Observations  Acceleration due to gravity g= 9.8 m/s2
 S.No Length of the pendulum (L/cm) Time for 10 oscillations (t/s) Time Period (T/s) $\sqrt{\frac{l}{g}}$ $2\pi&space;\sqrt{\frac{l}{g}}$ 1 60 2 70 3 80 4 90 5 100
Precautions  1. The start and stopping of the stop-clock should be done with the least possible ‘lag’.2. The pendulum bob should be displaced parallel to the line and let ‘go’ very gently.
Result  Time Period of a given pendulum is …..