What is the centripetal acceleration?

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Homework Help Overview

The problem involves a ball being twirled in a circle and then released, with the goal of determining the centripetal acceleration provided by the string. The context includes a radius of 0.5m and a projectile motion scenario where the ball covers a distance of 1,000m at a 30-degree angle from the horizontal.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to determine the velocity of the ball at the moment of release to apply the centripetal acceleration formula. Some suggest working backwards from the projectile motion to find this velocity.

Discussion Status

There is ongoing exploration of how to relate the projectile motion to the initial circular motion. Some participants have offered guidance on considering the problem as a projectile fired at an angle, but there is no explicit consensus on the approach or solution yet.

Contextual Notes

Participants are grappling with the relationship between the circular motion and the subsequent projectile motion, particularly in terms of the necessary velocity to achieve the described trajectory.

laladude
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Homework Statement



If a ball is being twirled in a circle with a radius of 0.5m, and then is let go such that the balls velocity makes an angle 30 degrees from the horizontal and then covers a distance of 1,000m before it hits the ground. What was the centripetal accelertaion provided by the string??

Picture provided

1.jpg


Homework Equations



Ac = v^2 / r


The Attempt at a Solution



I don't really understand how to get the velocity in order to just plug in everything else into the equation.
 
Last edited:
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Work backwards. What velocity would you need to make the ball arc 30 and cover 1000m for instance.
 
QuarkCharmer said:
Work backwards. What velocity would you need to make the ball arc 30 and cover 1000m for instance.

I'm still not understanding it. :confused:
 
He's saying pretend there was just a projectile fired at a 30 degree angle that covered 1000m, from that you can find the velocity of the projectile, that velocity is the same as the velocity the object was moving as it spun around the circle.
 

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