What is the tangential acceleration?

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Homework Help Overview

The problem involves a ball of mass 2.5 kg revolving in a circular path with a radius of 0.9 m, specifically analyzing the tangential acceleration at the moment the string makes a 60-degree angle below the horizontal while the ball's speed is 7 m/s. The context is centered around circular motion and the forces acting on the ball.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the definition of tangential acceleration and its calculation, noting the difficulty in applying known equations to the given scenario. There are mentions of gravitational and centripetal forces, with questions about their relationship to tangential acceleration. Some participants suggest drawing diagrams to visualize the forces involved.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem, including the forces at play and their contributions to tangential acceleration. There is no explicit consensus yet, but guidance has been offered regarding the importance of visualizing the forces involved.

Contextual Notes

Participants are grappling with the implications of the angle and the plane of motion, questioning how these factors influence the calculation of tangential acceleration. There is an acknowledgment of the complexity introduced by the vertical plane of motion.

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Homework Statement


a ball of 2.5kg revolves in a circle on a string with a radius of 0.9m. at the moment when the string makes an angle of 60 degrees below the horizontal, the ball's speed is 7m/s. at this specific point, what is the tangential acceleration?

Homework Equations


A_t = r*angular acceleration
A_t = dv/dt

The Attempt at a Solution


I understand what tangential acceleration is and how to calculate it when a time interval is given. However, this scenario doesn't make much sense, and I can't find an equation to use that I could plug in some of my data. I know m*g*cos60 is the gravitational acceleration component that is tangent to the ball's circular rotation at that point in time, but that answer didn't work for tangential acceleration.

Homework Statement


Homework Equations


The Attempt at a Solution

 
Last edited:
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Think in terms of forces.
 
i understand there are forces, including centripetal force and gravitational force. but i do not understand how they directly relate to tangential acceleration.
 
I presume the circular motion is in a vertical plane.
Where the **** did you get cos(21) from?
 
Suggest you do a drawing and consider which forces contribute to tangential acceleration and which don't.
 
Can you just use: a = v2/r

Or does it help in any way? I'm not sure where the mass and angle is coming into this if its rotating on a horizontal plane.
 

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