Engineering Physics Experiment 7: Measuring 'g' using Kater's Pendulum
24 Questions
2 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the primary aim of the experiment described?

  • To measure the length of the Kater's pendulum
  • To compare the time periods of the pendulum about the two knife edges
  • To determine the centre of gravity of the pendulum
  • To measure the value of 'g' using Kater's pendulum (correct)

    • What is the purpose of the two movable knife edges K1 and K2 in Kater's pendulum?

  • To hold the rod in place
  • To adjust the centre of gravity of the pendulum (correct)
  • To change the length of the pendulum
  • To measure the time period of the pendulum

    • What is the significance of the centre of gravity lying near one of the knife edges?

  • To make the time periods of the pendulum about the two knife edges equal (correct)
  • To ensure the pendulum is balanced
  • To increase the length of the pendulum
  • To make the time periods of the pendulum about the two knife edges unequal

    • What is the material of the cylinder W2?

    <p>Wood</p> Signup and view all the answers

    What is the length of the meter rod used in the experiment?

    <p>100cm</p> Signup and view all the answers

    What is the principle behind Kater's pendulum?

    <p>The centre of suspension and centre of oscillation are interchangeable</p> Signup and view all the answers

    What is the purpose of placing a heavy mass at one end of a Kater's pendulum?

    <p>To ensure the pendulum oscillates smoothly</p> Signup and view all the answers

    What is the standard value of acceleration due to gravity in m/s2?

    <p>9.8</p> Signup and view all the answers

    What is the typical unit of distance between the two knife edges in a Kater's pendulum?

    <p>Meter</p> Signup and view all the answers

    What is the purpose of measuring the time periods of oscillations in a Kater's pendulum?

    <p>To determine the acceleration due to gravity</p> Signup and view all the answers

    What is the significance of the Kater's pendulum experiment?

    <p>It measures the acceleration due to gravity with high accuracy</p> Signup and view all the answers

    What is the name of the reference book published by Oscar publications in 2009?

    <p>Physics Experiments for Engineers</p> Signup and view all the answers

    What is the purpose of Bessel's approximation in the determination of acceleration due to gravity?

    <p>To avoid the difficulty of setting the Kater's pendulum for equal time periods</p> Signup and view all the answers

    What is the condition for equation (2) to be applicable?

    <p>When T1 and T2 are very close to each other (difference less than 1 percent)</p> Signup and view all the answers

    What is the symbol 'Ɩ1' and 'Ɩ2' representing in the given formula?

    <p>Distances between knife-edges and CG of the pendulum</p> Signup and view all the answers

    What is the formula used to determine the acceleration due to gravity 'g'?

    <p>g = 8𝜋2 𝑇12+𝑇22 / 𝑙1+𝑙2 + 𝑙1−𝑙2</p> Signup and view all the answers

    What is the significance of the distance between the knife edges in Kater's pendulum?

    <p>It is equal to the length of the equivalent simple pendulum</p> Signup and view all the answers

    What is the purpose of the Kater's pendulum?

    <p>To calculate the acceleration due to gravity</p> Signup and view all the answers

    What is the main purpose of ensuring the amplitude of vibration is small?

    <p>To ensure the motion of the pendulum satisfies the condition of simple harmonic motion</p> Signup and view all the answers

    Why is a glass surface on a rigid support used in the experiment?

    <p>To avoid friction</p> Signup and view all the answers

    What is the purpose of moving the mass M up or down during the experiment?

    <p>To make the time periods nearly equal</p> Signup and view all the answers

    What is the formula used to calculate the value of g in the experiment?

    <p>Not mentioned in the experiment</p> Signup and view all the answers

    Why is the experiment repeated by changing the distance between the two knife edges?

    <p>To increase the accuracy of the measurement of g</p> Signup and view all the answers

    What is the purpose of noting the time period after the pendulum has made a few oscillations?

    <p>To allow the pendulum to settle into a steady state of motion</p> Signup and view all the answers

    Study Notes

    Kater's Pendulum Experiment

    • Kater's pendulum is a compound pendulum used to measure the value of acceleration due to gravity (g).
    • It consists of a long metallic rod with a heavy metallic cylinder at one end and an identical wooden cylinder at the other end, with a smaller metallic cylinder at the middle.

    Principle and Theory

    • The principle of Kater's pendulum is based on the idea that the center of suspension and center of oscillation are interchangeable.
    • The pendulum is adjusted so that the time periods of oscillation about two knife edges (K1 and K2) are exactly equal.
    • The distance between the knife edges is equal to the length of an equivalent simple pendulum, whose time period is given by T=2π√𝑙/𝑔.

    Formula Used

    • The formula used to determine acceleration due to gravity (g) is: g= 8𝜋2 𝑇12+𝑇22 𝑇12−𝑇22 𝑙1+𝑙2 + 𝑙1−𝑙2

    Bessel's Approximation

    • Bessel's approximation is used when the two time periods are not exactly equal, making it easier to set up the experiment.
    • The formula becomes: g= 8𝜋 𝑇12+𝑇22 𝑙1+𝑙2 when T1 and T2 are very close to each other (difference less than 1 percent).

    Precautions and Procedure

    • Precautions include ensuring parallel knife-edges, small amplitude of vibration, and avoiding friction by using a glass surface on a rigid support.
    • The procedure involves suspending the pendulum from the knife edges, finding the time periods, and measuring the distance between the knife edges.

    Calculations and Results

    • The value of g is calculated using the formula, and the experiment can be repeated by changing the distance between the knife edges.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Explore the concept of measuring the acceleration due to gravity (g) using Kater's pendulum in this experiment. Learn about the equipment and procedures involved in the experiment. This quiz is based on the University Institute of Engineering's Department of Academic Unit-1 to 5 course.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser