Kinetic Energy and Moment of Inertia

Kinetic Energy and Moment of Inertia

Assessment

Interactive Video

Physics, Mathematics

9th - 12th Grade

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial introduces the concept of moment of inertia, analogous to mass in rotational motion. It explains how kinetic energy is related to angular velocity and how to calculate the moment of inertia for a single point mass and multiple masses. The tutorial also covers the calculation of moment of inertia for a lamina using integration, with an example of a unit square with density x*y.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the moment of inertia analogous to in linear motion?

Mass

Acceleration

Force

Velocity

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula represents the kinetic energy in rotational motion?

mass * acceleration

1/2 * mass * velocity^2

1/2 * moment of inertia * angular velocity^2

force * distance

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is angular velocity defined?

The rate of change of distance

The rate of change of angle

The rate of change of force

The rate of change of mass

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For a single point mass, the moment of inertia is calculated as:

mass times force

mass times angular velocity

mass times velocity

mass times distance squared

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the velocity of a mass as its distance from the origin increases?

It decreases

It becomes zero

It increases

It remains constant

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the total moment of inertia for multiple masses?

Divide the total mass by the number of points

Subtract the smallest mass from the largest

Add up mass times distance squared for each point

Multiply all masses together

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of a lamina, what does the integration process involve?

Summing up the velocities

Integrating x^2 + y^2 times the density over the area

Finding the maximum distance

Calculating the average mass

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