Moment of Inertia of Pendulum Bob Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment of Inertia = Mass of Body*Length of String^2
I = M*Lstring^2
This formula uses 3 Variables
Variables Used
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Mass of Body - (Measured in Kilogram) - Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Length of String - (Measured in Meter) - Length of String is the length measurement of the string of pendulum.
STEP 1: Convert Input(s) to Base Unit
Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Length of String: 49 Millimeter --> 0.049 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = M*Lstring^2 --> 12.6*0.049^2
Evaluating ... ...
I = 0.0302526
STEP 3: Convert Result to Output's Unit
0.0302526 Kilogram Square Meter --> No Conversion Required
FINAL ANSWER
0.0302526 0.030253 Kilogram Square Meter <-- Moment of Inertia
(Calculation completed in 00.020 seconds)

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8 Rotational Motion Calculators

Moment of Inertia of Right Circular Solid Cylinder about its Symmetry Axis
Go Moment of Inertia = (Mass of Body*(Radius of body^2))/2
Moment of Inertia of Solid Sphere about its Diameter
Go Moment of Inertia = 2*(Mass of Body*Radius of body^2)/5
Moment of Inertia of Circular Disc about Perpendicular Axis through its Center
Go Moment of Inertia = (Mass of Body*Radius of body^2)/2
Moment of Inertia of Rod about Perpendicular Axis through its Center
Go Moment of Inertia = (Mass of Body*Length of Rod^2)/12
Moment of Inertia of Spherical Shell about its Diameter
Go Moment of Inertia = 2*(Mass of Body*Radius of body)/3
Moment of Inertia of Pendulum Bob
Go Moment of Inertia = Mass of Body*Length of String^2
Moment of Inertia of Circular Ring about Perpendicular Axis through its Center
Go Moment of Inertia = Mass of Body*Radius of body^2
Moment of Inertia of Right Circular Hollow Cylinder about its Axis
Go Moment of Inertia = Mass of Body*Radius of body^2

6 Simple Pendulum Calculators

Restoring Torque for Simple Pendulum
Go Torque Exerted on Wheel = Mass of Body*Acceleration due to Gravity*sin(Angle through which the string is displaced)*Length of String
Periodic Time for One Beat of SHM
Go Time Period SHM = pi*sqrt(Length of String/Acceleration due to Gravity)
Angular Acceleration of String
Go Angular Acceleration = Acceleration due to Gravity*Angular Displacement/Length of String
Angular Frequency of Simple Pendulum
Go Angular Frequency = sqrt(Acceleration due to Gravity/Total Length)
Angular Frequency of Spring of given Stiffness Constant
Go Angular Frequency = sqrt(Spring Constant/Mass of Body)
Moment of Inertia of Pendulum Bob
Go Moment of Inertia = Mass of Body*Length of String^2

Moment of Inertia of Pendulum Bob Formula

Moment of Inertia = Mass of Body*Length of String^2
I = M*Lstring^2

What is moment of inertia in simple terms?

Moment of inertia, in physics, quantitative measure of a body's rotational inertia—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force). The axis may be internal or external and may or may not be fixed.

How to Calculate Moment of Inertia of Pendulum Bob?

Moment of Inertia of Pendulum Bob calculator uses Moment of Inertia = Mass of Body*Length of String^2 to calculate the Moment of Inertia, Moment of Inertia of Pendulum Bob about an axis through the point of suspension is the name given to rotational inertia, the rotational analog of mass for linear motion. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia of Pendulum Bob using this online calculator? To use this online calculator for Moment of Inertia of Pendulum Bob, enter Mass of Body (M) & Length of String (Lstring) and hit the calculate button. Here is how the Moment of Inertia of Pendulum Bob calculation can be explained with given input values -> 0.030253 = 12.6*0.049^2.

FAQ

What is Moment of Inertia of Pendulum Bob?
Moment of Inertia of Pendulum Bob about an axis through the point of suspension is the name given to rotational inertia, the rotational analog of mass for linear motion and is represented as I = M*Lstring^2 or Moment of Inertia = Mass of Body*Length of String^2. Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it & Length of String is the length measurement of the string of pendulum.
How to calculate Moment of Inertia of Pendulum Bob?
Moment of Inertia of Pendulum Bob about an axis through the point of suspension is the name given to rotational inertia, the rotational analog of mass for linear motion is calculated using Moment of Inertia = Mass of Body*Length of String^2. To calculate Moment of Inertia of Pendulum Bob, you need Mass of Body (M) & Length of String (Lstring). With our tool, you need to enter the respective value for Mass of Body & Length of String and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Moment of Inertia?
In this formula, Moment of Inertia uses Mass of Body & Length of String. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Moment of Inertia = 2*(Mass of Body*Radius of body^2)/5
  • Moment of Inertia = Mass of Body*Radius of body^2
  • Moment of Inertia = Mass of Body*Radius of body^2
  • Moment of Inertia = (Mass of Body*Length of Rod^2)/12
  • Moment of Inertia = 2*(Mass of Body*Radius of body)/3
  • Moment of Inertia = (Mass of Body*(Radius of body^2))/2
  • Moment of Inertia = (Mass of Body*Radius of body^2)/2
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