ONE You are provided with the following - A pendulum bob. - A thread 110cm long -
Question:
ONE
You are provided with the following
- A pendulum bob.
- A thread 110cm long
- A retort stand, clamp and boss.
- Two pieces of wood.
- A metre rule.
- A stop watch.
Proceed as follows:
(a) Tie the pendulum bob with the thread provided as shown in Figure 1. Clamp the end of the thread between the two pieces of wood, so that the length L of the pendulum is 100cm
Figure 1
(b) (i) Give the bob a slight displacement and release it. Record time 20 oscillations when the length of the pendulum is 100cm.
time = ……………………………………. s.(ii) Repeat b (i) above for values of L of 90cm, 80cm, 70cm, 60cm, 50cm, 40cm and 30cm and complete the table below.
Length L (m) | 1.0 | 0.9 | 0.8 | 0.7 | 0.6 | 0.5 | 0.4 | 0.3 |
Time t for 20 oscillations (s) | ||||||||
Periodic time T (s) | ||||||||
T2 (S2) | ||||||||
Log T2 | ||||||||
Log L | 0 | -0.05 | -0.22 |
7marks)
(c) (i) Plot a graph of log L against log T2 (5marks)
(ii) Determine the slope of the graph (3marks)
………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
(iii) Given that the relationship between L and T2 is given by Log L = Log T2 – Log 39.44
where g is a constant. Use the graph to determine the value of g. g
(4marks)