#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.

Click to Chat

1800-1023-196

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# how to solve moment of inertia questions

## 1 Answers

10 years ago

The moment of inertia (denoted as "I") is the measure of an object's resistance to changes in its rotation speed. It plays the same role in rotation motion as mass does in linear motion. For a point with a mass "m," the moment of inertia is calculated using the following formula: I = mr^2. "r" is the distance between the point and the rotation axis. The moment of inertia of a body depends on the object's shape (i.e., it is different for a rod and cylinder) and the point of rotation. As an example, calculate this parameter for the point mass and a solid cylinder.

## Instructions

• 1

Multiply the mass and square of distance to the rotation axis to calculate the moment of inertia of the point mass.
For example, the mass is 2 kg and the distance is 2 m. Hence, I = mr^2 = 2 kg x 2 m x 2 m = 8 kgm^2.

• 2

Navigate to the moment of inertia list (see Resources) and find a formula that corresponds to the object shape and the rotation point.
In the example with the solid cylinder, you would find that I = 1/2 x mR^2. Note that R is the cylinder radius.

• 3

Calculate the moment of inertia using the formula from Step 2. For example, the cylinder mass is 3 kg and its radius is 0.5 m. The moment of inertia would be:
I = 1/2 x 3 kg x 0.5 m x 0.5 m = 0.375 kgm^2.

## ASK QUESTION

Get your questions answered by the expert for free