Calculating Angular Velocity of a Rolling Sphere on an Inclined Plane

In summary, the conversation is discussing the calculation of angular velocity for a solid sphere rolling down an inclined plane. The person knows the mass, radius, and distance the sphere travels, and is trying to determine the translational velocity first. They are considering using the equations d=v/t or d=1/2(Vi-Vf)(t) to find the velocity, with the goal of getting a value under 1. They are also seeking assistance and hoping to complete the task by tonight.
  • #1
alex7298
27
0

Homework Statement



so i need to find the angular velocity of a solid sphere rolling down an inclined plane. I know the mass, radius, and distance the sphere travels.

Homework Equations





The Attempt at a Solution



I know how to get angular velocity, but i need the translational velocity first (m/s). Do i use d=v/t or d=1/2(Vi-Vf)(t) which should go down to v=2d/t. I am getting like 61rad/s and after talking to some other people, they said that was too big. They are getting theirs to be under 1...which doesn't make sense to me
 
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  • #2
and i know the time it takes. And i meant to say v=d/t above
 
  • #3
i need this tonight
any help would be great!
thanks
 

1. What is angular velocity?

Angular velocity is a measure of the rate at which an object rotates or revolves around a fixed axis. It is usually represented by the symbol ω (omega) and is measured in radians per second.

2. How do you calculate angular velocity?

Angular velocity can be calculated by dividing the change in angular displacement by the change in time. The formula for angular velocity is ω = Δθ/Δt, where ω is the angular velocity, Δθ is the change in angular displacement, and Δt is the change in time.

3. What is the difference between angular velocity and linear velocity?

Angular velocity measures the rate of rotation of an object around a fixed axis, while linear velocity measures the rate of change of an object's position in a straight line. Angular velocity is measured in radians per second, while linear velocity is measured in meters per second.

4. How is angular velocity related to centripetal acceleration?

Angular velocity and centripetal acceleration are related through the formula a = ω²r, where a is the centripetal acceleration, ω is the angular velocity, and r is the distance from the object to the axis of rotation. This formula shows that the faster an object rotates (higher angular velocity), the greater the centripetal acceleration will be.

5. What factors affect angular velocity?

The factors that can affect angular velocity include the force applied to the object, the distance from the axis of rotation, and the object's mass. Changes in any of these factors can result in a change in the object's angular velocity.

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