5.1 Study the Effect of Length of Simple Pendulum on its Time Period and Hence Find the Value of g by Calculation
Observations and Calculations
Diameter of the bob = D = 2.54 cm
Radius of the bob = r = D/2 = 1.27cm
| No | Length of string including hook l1 cm |
Total length of pendulum l=l1+r cm |
Time for 20 oscillations | Time period T=t/20 s |
T2 s2 |
l/T cms2 |
g= 4π-2(l/T2) cms-2 |
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| t1 s |
t2 s |
t=(t1+t2)/2 s |
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| 1 | 100 | 101.27 | 39 | 41 | 40 | 2 | 4 | 25.31 | 998 |
| 2 | 90 | 91.27 | 37 | 39 | 38 | 1.9 | 3.61 | 25.38 | 997 |
| 3 | 80 | 81.27 | 37 | 35 | 36 | 1.8 | 3.24 | 25.08 | 989 |
Result
Mean value of g = 994.66 cms-2
5.2 Prove that Time Period of a Simple pendulum is Independent of Mass of the Pendulum
Observations and Calculations
| No | Mass of bob g |
Time for 20 oscillations | Time period T=t/20 s |
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| t1 s |
t2 s |
t=(t1+t2)/2 s |
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| 1 | 40 | 30 | 32 | 31 | 1.57 |
| 2 | 60 | 34 | 30 | 32 | 1.60 |
| 3 | 80 | 31 | 33 | 32 | 1.60 |
Result
Time period of a simple pendulum is independent of mass of the pendulum.
5.3 Prove that Time Period of a Simple Pendulum is Independent of amplitude of Vibration
Observations and Calculations
| No | Amplitude cm |
Time for 20 oscillations | Time period T=t/20 s |
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| t1 s |
t2 s |
t=(t1+t2)/2 s |
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| 1 | 4 | 29 | 31 | 30 | 1.50 |
| 2 | 5 | 32 | 28 | 30 | 1.50 |
| 3 | 6 | 28 | 30 | 29 | 1.45 |
Result
Time period of a simple pendulum is independent of amplitude of vibration.