## Which experiment is used for determining the mass moment of inertia?

# Which experiment is used for determining the mass moment of inertia?

Table of Contents

## Which experiment is used for determining the mass moment of inertia?

1.4 Experimentally Determining an Objects Moment of Inertia For a body with a mathematically indescribable shape, the moment of inertia can be obtained via experiment using a pendulum which employs the relation between the period of oscillation and the moment of inertia of the suspended mass.

**How do you find the experimental value of inertia?**

It is the rotational analog to mass or inertia in translational motion. The moment of inertia (I) of a basic solid of uniform density can be calculated by first deriving an appropriate formula from the general formula I = ∫ (x2 + y2)dm.

### Where is moment of inertia used?

The moment of inertia of a rotating flywheel is used in a machine to resist variations in applied torque to smooth its rotational output.

**What is meant by moment of inertia in physics?**

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

#### How is moment of inertia defined?

Definition of moment of inertia : a measure of the resistance of a body to angular acceleration about a given axis that is equal to the sum of the products of each element of mass in the body and the square of the element’s distance from the axis.

**How can you experimentally find the moment of inertia of an object?**

By applying a known torque to a rigid body, measuring the angular acceleration, and using the relationship τ = Iα, the moment of inertia can be determined.

## How do you experimentally measure rotational inertia?

the mass, R is the distance the mass is from the axis of rotation. To find the rotational inertia experimentally, a known torque is applied to the object and the resulting angular acceleration is measured. = I , where α is the angular acceleration.

**How do you find the moment of inertia of a pulley system?**

In the question, the value of the moment of inertia of the pulley system is given, $I = 3kg – {m^2}$. So the angular acceleration of the system is $\alpha = 3rad/{s^2}$. The moment of inertia is the rotational equivalent of the mass in linear motion. It is the tendency of the body to resist angular acceleration.