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jason12345
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For a conical pendulum, there is an instantaneous centripetal acceleration. Does this mean there is an instantaneous angular acceleration of the pendulum towards the center?
olivermsun said:Can you define what your angle and center refer to?
olivermsun said:I see, you're talking about a pendulum which swings about the center axis in a cone.
Your angle, as defined, rotates with the pendulum string and remains constant, so I would say "no."
olivermsun said:There is an acceleration (which happens to be toward the center) because the radius vector is not constant. Only the radius magnitude is constant.
As far as I can tell, the angular velocity is constant if defined around the axis of symmetry.
jason12345 said:I think you mean velocity where you state radius.
A conical pendulum is a type of pendulum that moves in a circular motion rather than a back-and-forth motion. It consists of a weight suspended by a string or rod, which is attached to a fixed point above. As the weight swings, it traces out a cone shape instead of a straight line.
Instantaneous angular acceleration is a measure of how quickly the angular velocity of an object is changing at a specific moment in time. In the case of a conical pendulum, it would refer to the rate at which the pendulum's angular velocity is changing as it moves along its circular path.
No, there is not a constant instantaneous angular acceleration for a conical pendulum. The instantaneous angular acceleration will vary depending on the position of the pendulum along its circular path. It will be highest at the bottom of the cone and lowest at the top.
Instantaneous angular acceleration is a measure of the change in angular velocity at a specific moment in time, while average angular acceleration is a measure of the change in angular velocity over a period of time. Average angular acceleration takes into account the starting and ending angular velocities, whereas instantaneous angular acceleration only considers the velocity at a specific point.
Yes, instantaneous angular acceleration can be negative for a conical pendulum. This would occur when the pendulum is moving in the opposite direction of its current angular velocity, causing the velocity to decrease. This can happen when the pendulum is moving up along the cone, or when it reaches the top and begins to move back down.