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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.
Table of Contents:
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
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