# Angular velocity, coin on spinning wheel

• racer98jc
In summary, angular velocity is a measure of how fast an object is rotating around an axis and is typically measured in radians or degrees per second. It differs from linear velocity, which measures linear motion in meters per second. A coin on a spinning wheel demonstrates angular velocity by rotating around its own axis while following the circular motion of the wheel. To calculate angular velocity, you can divide the change in angle by the change in time or divide linear velocity by the radius of the circular path. Factors such as the wheel's speed, diameter, and the coin's mass, as well as external forces, can affect the angular velocity of a coin on a spinning wheel.
racer98jc

## Homework Statement

A 5.10 coin is placed 16.0 from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of = 0.810 and = 0.510.

What is the maximum angular velocity with which the turntable can spin without the coin sliding?

## 1. What is angular velocity?

Angular velocity is a measure of how fast an object is rotating around a specific axis. It is typically measured in radians per second or degrees per second.

## 2. How is angular velocity different from linear velocity?

Angular velocity is a measure of rotational motion, while linear velocity is a measure of linear motion. Angular velocity is measured in radians per second or degrees per second, while linear velocity is measured in meters per second.

## 3. How does a coin on a spinning wheel demonstrate angular velocity?

When a coin is placed on a spinning wheel, it follows the circular motion of the wheel and rotates around its own axis at the same time. The angular velocity of the coin is equal to the angular velocity of the wheel at that specific point.

## 4. How is angular velocity calculated?

Angular velocity is calculated by dividing the change in angle by the change in time. It can also be calculated by dividing the linear velocity by the radius of the circular path.

## 5. What factors affect the angular velocity of a coin on a spinning wheel?

The angular velocity of a coin on a spinning wheel can be affected by the speed of the wheel, the diameter of the wheel, and the mass of the coin. Additionally, any external forces such as friction or air resistance can also affect the angular velocity.

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