Angular Velocity and Acceleration

In summary, the link AB has an angular velocity of -2k and an angular acceleration of 2k. At this instant, point C has a velocity of -j and its acceleration is unknown. The angular acceleration of link BC is also unknown. Attempted solutions using the equations vA = 0, aA = 0, and ac = (alpha) x rc/b - w2rc/b have not yielded a solution.
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nathan8
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0

Homework Statement


Link AB has angular velocity and angular acceleration as shown. Determine the velocity and
acceleration of point C and the angular acceleration of link BC at this instant. Express them as
Cartesian vectors. https://www.physicsforums.com/attachments/41853

Homework Equations



vA = 0
aA = 0
w= -2k
(alpha) =2k

The Attempt at a Solution


I have found that the point b has a velocity of -j

Im not sure how to equate this to the angular velocity of BC or the angular acceleration of BC.

I have used tried applying the ac = (alpha) x rc/b - w2rc/b

but this isn't producing any solution
 
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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 or degrees 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 axis of rotation, while linear velocity does not.

3. How is angular acceleration calculated?

Angular acceleration is the rate of change of angular velocity over time. It can be calculated by dividing the change in angular velocity by the change in time.

4. What is the relationship between angular velocity and angular acceleration?

Angular velocity and angular acceleration are directly related. If angular acceleration is constant, then angular velocity will change at a constant rate. Conversely, if angular velocity is constant, then there is no angular acceleration.

5. How does angular velocity affect centripetal force?

Centripetal force is the force that keeps an object moving in a circular path. Angular velocity affects the magnitude of centripetal force, with higher angular velocity resulting in a higher centripetal force. This is because higher angular velocity means the object is moving faster and therefore needs a larger centripetal force to maintain its circular motion.

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