Contents
- 1 What is the graph of pendulum?
- 2 How do you find the period of a pendulum graph?
- 3 What is the graph of compound pendulum?
- 4 What is the conclusion of simple pendulum experiment?
- 5 What is the relationship between pendulum length and period?
- 6 Why is Kater’s pendulum better than bar pendulum?
- 7 What is the period of a graph?
What is the graph of pendulum?
An object in simple harmonic motion, such as a pendulum, oscillates about a central point. It can be shown mathematically that the position-time graph of a pendulum is sinusoidal, with a period that depends on the pendulum’s length.
How do you find the period of a pendulum graph?
How to analyze a pendulum in swing
- Determine the length of the pendulum.
- Decide a value for the acceleration of gravity.
- Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s .
- Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz .
How do you find the slope of a pendulum?
Determine the slope.
- Pick two points, one near each end of the best fit line.
- Determine the coordinates of the two points, (x1 , y1) and (x2, y2)
- Use the formula for determining the slope from two points to obtain the slope: (y2- y1) / (x2- x1)
What is the graph of compound pendulum?
A graph is drawn with the distance d of the various holes from the end A along the X-axis and the period T of the pendulum at these holes along the Y-axis. The graph has two branches, which are symmetrical about G.
What is the conclusion of simple pendulum experiment?
The surprising conclusion – the pendulum traverses a longer distance in a shorter time, than in a shorter distance, and its period is shorter. There are a number of reasons why Galileo thought that the period remains constant. One factor which Galileo failed to consider is friction.
Does amplitude affect period of a pendulum?
The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)
What is the relationship between pendulum length and period?
The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.
Why is Kater’s pendulum better than bar pendulum?
Its advantage is that, unlike previous pendulum gravimeters, the pendulum’s centre of gravity and center of oscillation do not have to be determined, allowing a greater accuracy.
What is the principle of bar pendulum?
A bar pendulum is a particular case of a compound pendulum. The time period is determined by fixing the knife edge in each hole. The distance of each hole from the centre of gravity is measured. A graph is drawn between the distance from the CG along the X-axis and the corresponding time period along the y-axis.
What is the period of a graph?
The period is the length of the smallest interval that contains exactly one copy of the repeating pattern. Any part of the graph that shows this pattern over one period is called a cycle. For example, the graph of on the interval is one cycle.