Press "Enter" to skip to content

How do you draw a simple pendulum graph?

Plot a graph between l (column, 2b) and T2 (column 5) by taking Z along X- axis and T2 along Y-axis. The graph comes to be a straight line. From this graph, for T2 = 4, l comes to be 100 cm. Hence for seconds pendulum (T = 2 s) length comes to be 100 cm.

How do you accurately measure the length of a pendulum?

A simple way to measure the pendulum’s period fairly precisely is to start the pendulum swinging, and measure the time required for a large number of FULL swings – 40, 50, or so. Choose the number of swings so that the total time for the measurement is 40 seconds or more.

What is the frequency of a pendulum?

The frequency of a pendulum is how many back-and-forth swings there are in a second, measured in hertz. f = [√(4.9)]/6.28 = 2.21/6.28 = 0.353 Hz.

How do you find the frequency of a pendulum?

How to analyze a pendulum in swing

  1. Determine the length of the pendulum.
  2. Decide a value for the acceleration of gravity.
  3. Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s .
  4. Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz .

What is the period formula?

…successive cycles is called the period, the number of cycles or periods per second is the frequency, and the maximum value in either direction is the amplitude of the alternating current. …be repeated is called the period T, given by T = 2π/ω.

What affects the frequency of a pendulum?

The swing rate, or frequency, of the pendulum is determined by its length. The longer the pendulum, whether it is a string, metal rod or wire, the slower the pendulum swings. Conversely the shorter the pendulum the faster the swing rate.

What causes a pendulum to slow down and stop swinging?

A pendulum is an object hung from a fixed point that swings back and forth under the action of gravity. The swing continues moving back and forth without any extra outside help until friction (between the air and the swing and between the chains and the attachment points) slows it down and eventually stops it.

Why does period increase with length of pendulum?

The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)

Why doesn’t mass affect a pendulum?

The reason the simple pendulum has no dependence on mass is because the mass gets to “count” for two different things. (The same thing happens in freefall motion, where all things of all weights fall at the same rate.) Mass counts for inertia, or the “m” in “F=ma”.

Does the mass of a pendulum affect its 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.

How can you make a pendulum experiment more accurate?

Improve the accuracy of a measurement of periodic time by:

  1. making timings by sighting the bob past a fixed reference point (called a fiducial point )
  2. sighting the bob as it moves fastest past a reference point. The pendulum swings fastest at its lowest point and slowest at the top of each swing.

Does a pendulum swing faster with more weight?

That’s why these pendulums behave the way they do. When you add a weight to the bottom of the pendulum on the right, you make it heavier. Shorter pendulums swing faster than longer ones do, so the pendulum on the left swings faster than the pendulum on the right.

What happens if you double the weight of a pendulum?

The mass of a pendulum’s bob does not affect the period. As mass increases, so does the force on the pendulum, but acceleration remains the same. (It is due to the effect of gravity.) Because acceleration remains the same, so does the time over which the acceleration occurs.

What causes a pendulum to swing?

Function. The science behind the pendulum is explained through the forces of gravity and inertia. The Earth’s gravity attracts the pendulum. This swinging-back-and-forth force continues until the force that started the movement is not stronger than gravity, and then the pendulum is at rest again.

How do you increase the swing of a pendulum?

There are several things that you can do to make a pendulum swing for a long time:

  1. Make it heavy (and, specifically, dense). The more mass a pendulum has, the less outside influences such as air resistance will degrade its swing.
  2. Put it in a vacuum.
  3. Use an escapement mechanism.
  4. Give it a large initial swing.

How long will a pendulum swing?

Here is an extra fun fact. A pendulum with a length of 1 meter has a period of about 2 seconds (so it takes about 1 second to swing across an arc). This means that there is a relationship between the gravitational field (g) and Pi.

What are the two factors that determine the period of a pendulum?

The mass and angle are the only factors that affect the period of a pendulum.

What does it mean when a pendulum swings in a circle?

When you ask your pendulum a question it will either swing back and forth, side to side or in a clockwise or counter-clockwise circle. A back-and-forth movement generally means the answer is “yes.” If your pendulum swings in a clockwise direction means “yes”, a counterclockwise direction means “no”.

What is special about a pendulum swing?

A pendulum is a weight suspended from a pivot so that it can swing freely. When released, the restoring force acting on the pendulum’s mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period.

What forces act on a pendulum?

There are two major forces that act on a pendulum, the force of gravity and tension force from the string that holds the pendulum.

When would you use a pendulum?

“You can use the pendulum to help you with any problem, troubling situation, or something you need more clarity around.” Just remember: The pendulum can only answer “yes” or “no” questions. “So make sure to phrase questions in a way that can allow you to get a clear answer,” she says.

Where does energy go when a pendulum stops swinging?

Once the weighted end of the pendulum is released, it will become active as gravity pulls it downward. Potential energy is converted to kinetic energy, which is the energy exerted by a moving object.

What is yes and no on a pendulum?

Then do this for the “no” signal, again while demonstrating it. Here’s an example of how to program the “yes” signal: Holding the pendulum in position, say “When I ask a question and the answer is yes, move like this, in a clockwise circle.” (or whatever signal you’ve chose for “yes”).

How do you carry out a simple pendulum experiment?

Cut a piece of a string or dental floss so that it is about 1 m long. Attach a small object of high density to the end of the string (for example, a metal nut or a car key). Starting at an angle of less than 10º, allow the pendulum to swing and measure the pendulum’s period for 10 oscillations using a stopwatch.

What is meant by one complete oscillation?

A complete oscillation occurs when the vibrating object moves to and fro from its original position and moves in the same direction as its original motion.