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Physical Pendulum Calculation

Physical Pendulum consists of an actual object that is allowed to rotate freely around a horizontal axis. A physical pendulum is used to regulate a clockwork mechanism. A pendulum is a mass that is attached to a pivot, from which it can swing freely. Pendulum consisting of an actual object allowed rotating freely around a horizontal axis. This is called Physical Pendulum.

Physical Pendulum Calculation

kg-m2
kg
m/s2
m
s

Table of Contents:

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    Formula

    Period:
    T = 2∏√(I/MgD)

    Center of Mass or Moment of Inertia:
    I = T2 MgD/4 ∏2

    Mass:
    M = 4 ∏2I/gDT2

    Acceleration of Gravity:
    g = 4 ∏2I / MDT2

    Distance from Center of Mass to Pivot:
    D = 4 ∏2I / Mg T2

    Where,
    T = Period,
    I = Center of Mass or Moment of Inertia,
    M = Mass,
    g = Acceleration of Gravity,
    D = Distance from Center of Mass to Pivot.

    A physical pendulum consists of a large mass that is suspended from a rod.  Its displacement is used to measure the velocity of a projectile. This advanced online Physical Pendulum Calculation tool is used to calculate and find the various parameters of a physical pendulum.

    Example:
    Calculate the time Period taken by a Physical Pendulum to rotate by the given details of the pendulum.
    Center of Mass or Moment of Inertia (I) = 25 kg-m2
    Mass (M) = 15 kg
    Acceleration of Gravity (g) = 10 m/s2
    Distance from Center of Mass to Pivot (D) = 5 m

    Solution:
    Apply Formula:
    T = 2∏√(I/MgD)
    T = 2*3.14 √(25/15*10*5)
    T = 6.28 √(25/750)
    T = 6.28 √0.033
    T = 6.28*0.182
    T = 1.1429
    T = 1.15 s
    Period (T) = 1.15 s