Through these experiments, students will acquire the necessary knowledge, learn the basic experimental ideas, and understand the relationship among the wire length, the starting angle, and the gravitational acceleration. Study the influence of non-linear effect under large swing angles. Use extrapolation method to acquire accurate gravitational acceleration at extra small swinging angle.Ħ. Measure the swinging period by varying initial swing angle, and calculate the gravitational acceleration.ĥ. Verify the pendulum period is proportional to the square of the string length.Ĥ. Measure the swinging period by varying string length, and calculate the corresponding gravitational acceleration.ģ. Measure the swinging period with a fixed string length, and calculate the gravitational acceleration.Ģ. Using this apparatus, the following experiments can be conducted:ġ. Based on the relationship between the period and the angle, it is possible to acquire a precise value of the gravitational acceleration by extrapolating the angle to zero degree. This apparatus uses an integrated Hall sensor and electronic timer, which can accurately measure the period under large swing angle in a few swinging cycles, so the effect of air damping on pendulum angle can be ignored. Due to the presence of air damping, swing angle gradually decays with time degrading the measurement accuracy. Traditional methods using manual stopwatch timing have significant measurement errors, and multiple-period measurement and averaging method is used to reduce the measurement error. In the past, this experiment was limited to a small-angle approximation. The experiment was carried out in an enclosed room to avoid the influence of wind.Pendulum experiment is important in general physics teaching. The longer the length of the pendulum, the longer the period of oscillation. This means that the period of oscillation increases with the length of the pendulum, with T2 directly proportional to l. The graph of T2 versus l shows a straight line passing through the origin. Steps 1 to 6 are repeated using l = 70 cm, 60 cm, 50 cm, and 40 cm.T2 is calculated by squaring the value of T. The period of oscillation, T is calculated using the average reading divided by the number of oscillations, i.e.Step 3 is repeated, and the average of both readings are calculated.The time for ten complete oscillations of the pendulum is measured using the stopwatch.Ensure that the pendulum swings in a single plane. With the thread taut and the bob at rest, the bob is lifted at a small amplitude (of not more than 10°).The length of the pendulum, l is measured to 80 cm as per the diagram. The other end of the thread is tied around the arm of the retort stand so that it can swing freely. The thread is tied to the pendulum bob.Pendulum bob, length of thread about 100 cm long, retort stand, stopwatch Responding: The period of the pendulum, TĬonstant: The mass of the pendulum bob, gravitational acceleration Manipulated: The length of the pendulum, l The longer the length of a simple pendulum, the longer the period of oscillation. Period of oscillation depends on the length of simple pendulum
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |