Physics Laboratory: Pendulum Experiment
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Questions and Answers

What is the definition of periodic time (T) in the context of a simple pendulum?

  • The time taken for the pendulum to complete half an oscillation.
  • The time taken to make one complete oscillation. (correct)
  • The total time taken to swing back and forth once.
  • The time taken for the pendulum to return to its original position.

    • How does the length of the pendulum (L) affect the period (T) of the pendulum's oscillation?

  • Shorter lengths result in longer periods.
  • Longer lengths result in longer periods. (correct)
  • The length has no effect on the period.
  • Longer lengths result in shorter periods.

    • Which formula represents the angular velocity (ω) in relation to the period (T)?

  • ω = 2π/L
  • ω = 2π/T (correct)
  • ω = 2πT
  • ω = T/2π

    • Which statement best describes the formula for acceleration (a) in a simple pendulum?

    <p>a = -gθ (B)</p> Signup and view all the answers

    In the procedure for determining the acceleration due to gravity, what is measured after releasing the pendulum bob?

    <p>The time taken for 20 complete oscillations. (D)</p> Signup and view all the answers

    Which components are required to set up a simple pendulum experiment?

    <p>A metal holder, string, ball, stopwatch, meter rule. (C)</p> Signup and view all the answers

    What is the correct relationship between frequency (v) and period (T)?

    <p>v = 1/T (B)</p> Signup and view all the answers

    What is the primary factor that determines the slope of the plot when graphing T versus L?

    <p>The acceleration due to gravity. (C)</p> Signup and view all the answers

    How should the pendulum be displaced to ensure harmonic motion is observed?

    <p>Displaced with a small angle. (B)</p> Signup and view all the answers

    Flashcards

    Simple Pendulum

    A small metallic ball suspended by a string, swinging back and forth.

    Simple Harmonic Motion

    Repeating movement with a constant period.

    Periodic Time (T)

    Time taken for one complete oscillation.

    Angular Velocity (𝜔)

    Rate of change of angle.

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    Frequency (v)

    Number of oscillations per second.

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    Acceleration Due to Gravity (g)

    The acceleration of an object due to Earth's gravity.

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    Period of Oscillation (T)

    The time it takes for one complete oscillation of the pendulum.

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    Length of Pendulum (L)

    Distance from the point of suspension to the center of the bob.

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    20 Complete Oscillations

    Time measured in 20 complete swings, to find average period in an experiment.

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    Plotting T vs L

    Graphing the period of oscillation against the length of the pendulum.

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    Study Notes

    Objective

    • Determine acceleration due to gravity using simple pendulum's harmonic motion

    Apparatus

    • Metal holder
    • String
    • Small ball
    • Stop watch
    • Meter rule

    Theory

    • Simple pendulum = small metallic ball suspended by string
    • String's length = L
    • Attached to support stand by clamp
    • Motion is harmonic (swinging back and forth)

    Simple Harmonic Motion

    • Repeats itself every specific time period
    • Periodic Time (T) = time for one complete oscillation

    Angular Velocity (ω)

    • ω = 2π/T

    Frequency (ν)

    • ν = 1/T

    Formula

    • T² = 4π²L/g (relevant for experiment, L = length, g = acceleration due to gravity)

    Procedure

    • Suspend metallic ball with 1 meter string to a stand
    • Displace ball slightly
    • Measure time for 20 complete oscillations
    • Increase string length by 10 cm, repeat measurements, up to approximately 1 meter
    • Calculate oscillation period for each length (total time / 20)
    • Record observations (L, T) in table

    Graph

    • Plot relation between T² and L
    • Calculate acceleration due to gravity (g) from graph slope (m = 4π²/g = BC/AC); where BC and AC are on the graph)

    Conclusion

    • Find value of acceleration due to gravity (g) from graph

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    Related Documents

    Simple Pendulum Experiment PDF

    Description

    This quiz focuses on determining the acceleration due to gravity through the study of simple harmonic motion in a pendulum setup. You'll explore the relationship between the length of the string and the period of oscillation, applying theoretical concepts to practical measurements. Test your understanding of the formulas and procedures involved in the experiment!

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