A rolling ball Context A solid sphere rolls without slipping down an inclined plane. We are looking for the acceleration undergone by the sphere. ( Static friction is involved here ) Information The mass and the radius of the sphere are known. The angle delta of the inclined plane is known. Modelization Creates a model for the linear acceleration of the sphere given known parameters that are relevant. Then test your model with the following values: Mass of the sphere: 1 kg The radius of the sphere: 0.29 m Inclined plane angle: 11 degrees
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
A rolling ball
Context
A solid sphere rolls without slipping down an inclined plane. We are looking for the acceleration undergone by the sphere. ( Static friction is involved here )
Information
The mass and the radius of the sphere are known.
The angle delta of the inclined plane is known.
Modelization
Creates a model for the linear acceleration of the sphere given known parameters that are relevant. Then test your model with the following values:
Mass of the sphere: 1 kg
The radius of the sphere: 0.29 m
Inclined plane angle: 11 degrees
Step by step
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