Table of Contents

- 1 Which has a greater rotational inertia a cylinder about its axis or a sphere about a diameter if the two have the same mass and radius?
- 2 Does the rotational inertia of a particular object differ for different axes of rotation can one object have more than one rotational inertia?
- 3 Is angular momentum always conserved?
- 4 Why does bending your legs when running Enable?
- 5 Why is it easier to swing your legs back and forth when they are bent?
- 6 Is Omega equal to V R?

## Which has a greater rotational inertia a cylinder about its axis or a sphere about a diameter if the two have the same mass and radius?

Just as the value for a hoop’s rotational inertia is greater than a solid cylinder’s, the rotational inertia of a hollow sphere would be greater than that of a same-mass solid sphere for the same reason: the mass of the hollow sphere is farther from the center.

## Does the rotational inertia of a particular object differ for different axes of rotation can one object have more than one rotational inertia?

Yes, just as an object at rest tends to stay at rest, the same way an object in motion tends to stay in motion unless there is and external influence. It also depends on the distribution of the mass about the axis of rotation. A solid disk because a hoop has greater rotational inertia to its mass than a cylinder.

**What is the effect of adding a weight to the end of a baseball bat used for practice swings?**

The effect of adding a weight to the end of a baseball bat used for practice swings is that it makes it easier to bring the bat up to speed.

**On what two quantities does rotational inertia depend?**

On what two quantities does rotational inertia depend? Mass and distance from the axis of rotation.

### Is angular momentum always conserved?

Just as linear momentum is conserved when there is no net external forces, angular momentum is constant or conserved when the net torque is zero.

### Why does bending your legs when running Enable?

Why does bending your legs when running enable you to swing your legs to and fro more rapidly? Bending your legs shortens them, thus reducing rotational inertia. It is the perpendicular distance from the rotational axis to the line along which the force acts.

**Does inertia depend on speed?**

How much net force is required to keep the object moving at this speed and in this direction? An object in motion will maintain its state of motion. The presence of an unbalanced force changes the velocity of the object. Tosh argues that inertia does not depend upon speed, but rather upon mass.

**Why does Bending your legs when running Enable?**

## Why is it easier to swing your legs back and forth when they are bent?

Why is it easier to swing your legs back and forth when they are bent? Bending your legs decreases the distance to the turning axis, thus decreasing the rotational inertia.

## Is Omega equal to V R?

The greater the rotation angle in a given amount of time, the greater the angular velocity. The units for angular velocity are radians per second (rad/s). Angular velocity ω is analogous to linear velocity v. We can write this relationship in two different ways: v=rω or ω=v/r.

**How do you prove angular momentum is conserved?**

The symbol for angular momentum is the letter L. Just as linear momentum is conserved when there is no net external forces, angular momentum is constant or conserved when the net torque is zero. We can see this by considering Newton’s 2nd law for rotational motion: →τ=d→Ldt τ → = d L → d t , where τ is the torque.

**Why is angular momentum conserved but not linear?**

Angular and linear momentum are not directly related, however, both are conserved. Angular momentum is a measure of an object’s tendency to continue rotating. A rotating object will continue to spin on an axis if it is free from any external torque. Linear momentum is an object’s tendency to continue in one direction.