 # Physical Pendulum Calculator

Formula: Period(T) =IMgD

Enter the unknown value as ‘ x ‘

Period(T) = s
Center of Mass or Moment of Inertia(I) = kgm2
Mass(M) = kg
Acceleration of Gravity(g) = m/s2
Distance from Center of Mass to Pivot(D) = m

x =

Physical Pendulum Calculator is a free online tool that displays the time period of a given physical pendulum. BYJU’S online Physical pendulum calculator tool makes the calculation faster, and it shows the time period value in a fraction of seconds.

## How to Use the Physical Pendulum Calculator?

The procedure to use the physical pendulum calculator is as follows:
Step 1: Enter the mass (M), center of mass (I), acceleration of gravity (g), distance from the center of mass to pivot (D) and x for the unknown in the respective input fields
Step 2: Now click the button “Calculate the Unknown” to get the time period
Step 3: Finally, the value of x will be displayed in the output field

### What is Meant by the Physical Pendulum?

In physics, a simple pendulum can be defined as a point mass attached to a light inextensible string and suspended from fixed support. The vertical line passing through the fixed support is the mean position of the simple pendulum. Any swinging rigid body free to rotate about a fixed horizontal axis is called a physical pendulum or compound pendulum. The appropriate equivalent length (L) for calculating the period of any such pendulum is the distance from the pivot to the center of oscillation. This point is located under the center of mass at a distance from the pivot traditionally called the radius of oscillation, which depends on the mass distribution of the pendulum. The time period (T) of a physical pendulum is given by the formula:
T = 2π × √(I/MgD)
Here,
I = Center of mass or moment of inertia
M = Mass
g = Acceleration of gravity
D = Distance from the center of mass to pivot.