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How do you calculate the time period of a bar pendulum?

How do you calculate the time period of a bar pendulum?

Determination of g using Bar 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 aim of the experiment involving bar pendulum?

Aim: To determine young’s modulus (q) of the material of a wire by measuring the stretching produced in it for a given load. Where g-acceleration due to gravity. L – length of the experimental wire R – radius of the experimental wire Y – extension for load M.

How do you calculate simple pendulum experiment?

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 .

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.

How do you calculate time period?

Time period of a periodic motion is the time elapsed between two instants when the motion passes the same position or phase. T = 2 pi/w.

What is time period of pendulum?

The time period of a simple pendulum: It is defined as the time taken by the pendulum to finish one full oscillation and is denoted by “T”. The amplitude of simple pendulum: It is defined as the distance travelled by the pendulum from the equilibrium position to one side.

How many number of holes are there in bar pendulum?

In an experiment with bar pendulum having four holes, the same time period is recorded when it is suspended at distances 12 cm, 24cm, 40 cm and 52 m respectively from one end.

How the time period of a bar pendulum will change if we use a heavier bar pendulum?

The mass of a pendulum’s bob does not affect the period. Newton’s second law can be used to explain this phenomenon. In F = m a, force is directly proportional to mass. As mass increases, so does the force on the pendulum, but acceleration remains the same.

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.

How do you find the g in a pendulum experiment?

In this experiment, we measured g by measuring the period of a pendulum of a known length. We measured g=7.65±0.378m/s2. This correspond to a relative difference of 22% with the accepted value (9.8m/s2), and our result is not consistent with the accepted value.

What are some errors that may affect the experiment of a simple pendulum?

The sources of errors in a simple pendulum experiment are the following:

  • human errors comes in when measuring the period using a stopwatch.
  • instrument errors – using a digital stopwatch also introduce errors.
  • The arc angle also introduce errors.

Why does length affect the period of a pendulum?

A pendulum with a longer string has a lower frequency, meaning it swings back and forth less times in a given amount of time than a pendulum with a shorter string length.