Solving for Angular Velocity at Point A - Confused!

In summary, angular velocity is a measure of the rate of rotation of an object around a fixed axis, usually expressed in radians per second or revolutions per minute. It is calculated by dividing the change in angular displacement by the change in time or by dividing linear velocity by the radius of rotation. The main difference between angular velocity and linear velocity is that the former measures rotational motion while the latter measures straight-line motion. Point A is a specific reference point used in calculating angular velocity, and it is important in various fields such as engineering, physics, and astronomy for analyzing the motion of rotating objects and understanding the mechanics of machinery and systems.
  • #1
Pipsqueakalchemist
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Homework Statement
Questions and attempt below
Relevant Equations
Work energy theorem
So for this question I got the right angular velocity. But I don’t get the same velocity for point A. I don’t understand why it’s cos30, problem asked for V_a when theta = 45 so I used cos45. I have my work below.
 

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  • #2
Your images of your work are pretty much illegible. Can you please type your work into the forum using LaTeX? See the LaTeX Guide link at the lower left. Thank you.
 

1. What is angular velocity?

Angular velocity is a measure of how fast an object is rotating around a fixed point. It is typically measured in radians per second.

2. How is angular velocity different from linear velocity?

Angular velocity is a measure of rotational speed, while linear velocity is a measure of straight-line speed. Angular velocity takes into account the distance from the rotation axis, while linear velocity does not.

3. How do you calculate angular velocity?

Angular velocity can be calculated by dividing the change in angular displacement by the change in time. It is represented by the symbol ω (omega) and is measured in radians per second.

4. What is the formula for solving for angular velocity at point A?

The formula for solving for angular velocity at point A is ω = Δθ / Δt, where ω is the angular velocity, Δθ is the change in angular displacement, and Δt is the change in time.

5. What factors can affect angular velocity at point A?

The main factors that can affect angular velocity at point A are the distance from the rotation axis, the force or torque applied, and the moment of inertia of the object. Friction and air resistance can also affect angular velocity.

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