How can you increase the period of a pendulum?
Procedure
- Tie a weight to a thread.
- Tie the thread to straw and tape the straw on the table in such a way that around half of an inch hangs over the edge.
- Tape the other end of the thread with the table in such a manner that the length from the straw’s end to the middle the weight is 4 inches.
- Let the pendulum settle and be constant.
How can you determine the period of pendulum?
for calculating the period of any such pendulum is the distance from the pivot to the center of oscillation. This point is located under the center of mass at a distance from the pivot traditionally called the radius of oscillation, which depends on the mass distribution of the pendulum.
What does the period of a pendulum depend on?
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.
How can I calculate the period of a pendulum?
The period of a pendulum is proportional to to the square root of its length and is described by the equation: P = 2π × √ L / g where pi is 3.1415 and g is the force of gravity.
See more
What is a simple pendulum?
A simple pendulum is a point mass suspended by a weightless, inextensible string fixed rigidly to support.
What is an expression for the time period of a simple pendulum?
T = 2π√(l/g) Where l is the length of the pendulum. g is the acceleration due to gravity.
When will the motion of a simple pendulum be simple harmonic motion?
The motion of a simple pendulum will be simple harmonic motion if its angular displacement θ is very small.
When a pendulum is taken on top of the mountain, will the time period increase or decrease?
The time period increases as ‘g’ decreases, so it gains time.
Why a simple pendulum does not vibrate at the centre of the earth?
At the centre of the earth, g = 0 Therefore, T = 2π√(l/g) = ∞ The pendulum will take infinite time to complete one vibration. In other words, the...
What factors affect the period of a pendulum?
Hypothesis: The factors that I think will affect the period of the pendulum are the displacement and the suspended mass because if the mass of the bob is a lot than it will take more force for the pendulum to swing and if there's a high displacement it will give the pendulum more energy to complete the cycle.
What are the independent variables of the pendulum?
The independent variables were the length of suspension, displacement, and mass (bob). The dependent variable was the period of the pendulum.
What happens to the pendulum bob when it reaches its highest position?
The dots marked on the tape were examined. During the oscillation, the pendulum bob accelerated and then decelerated when it was approaching its highest position. The acceleration of the bob was always pointing towards its equilibrium position.
How to find the period of a pendulum?
The period simply equals two times pi times the square root of the length of the pendulum divided by the gravitational constant (9. 81 meters per second per second). For a real pendulum, however, the amplitude is larger and does affect the period of the pendulum.
When is the period of a pendulum an integral?
When the amplitude is larger than a few degrees, the period of the pendulum becomes an elliptical integral, which can be approximated by an infinite series. The series includes terms with the amplitude squared, the amplitude to the fourth power, the amplitude to the sixth power, and so on.
Does amplitude affect period?
For larger amplitudes, the amplitude does affect the period of the pendulum, with a larger amplitude leading to a larger period. However, for small amplitudes (typically around a few degrees), the amplitude has no effect on the period of a pendulum. In a simple pendulum, which can be modeled as a point mass at the end of a string ...
Why does the length of a pendulum affect its swing?
Why Does Length Affect a Pendulum? The length of a pendulum affects its swing because longer pendulums swing at lower frequencies. A lower frequency causes a longer period and a slower rate of swing. A pendulum is something that hangs from a fixed point and has a mass, or bob, at the other end.
What happens when you pull a pendulum back?
When a person pulls the bob back, the force of gravity accelerates the bob down and causes it to accumulate momentum.
What is the term for the number of periods a pendulum completes in a certain amount of time?
When a pendulum swings in one direction and then comes back to its original starting point, this is called a period. A pendulum's frequency is the number of periods it completes in a certain amount of time. A pendulum's length affects its period and frequency much more than other variables do.
Why does the pendulum move in the opposite direction?
The pendulum does this because of inertia, which is the tendency of mass to stay in motion when a force acts upon it.
Does increasing the mass of the bob affect period?
For example, starting the bob higher only changes the frequency a little bit. Increasing the mass of the bob doesn't affect either the period or the frequency at all. ADVERTISEMENT.
