What is the Diameter of the Circle if a Swinging Weight Accelerates at 9 m/s²?

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Homework Help Overview

The discussion revolves around a problem involving circular motion, specifically calculating the diameter of a circle based on the centripetal acceleration of a swinging weight. The parameters given include a speed of 12 meters per second and a centripetal acceleration of 9 meters per second squared.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between centripetal acceleration and radius, with one participant referencing the formula for centripetal acceleration. There is also a mention of the relationship between diameter and radius.

Discussion Status

The discussion includes attempts to clarify the formula for centripetal acceleration and its application to the problem. Some participants are exploring the implications of the given values, while others are attempting to derive the necessary relationships without reaching a consensus on the final answer.

Contextual Notes

There is a lack of explicit information regarding the assumptions made in the problem setup, such as whether the motion is uniform or any constraints on the system. Additionally, the original poster has not provided a complete answer, indicating that the problem remains open for further exploration.

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A weight attached to a wire is swung in a circular path. Its speed is 12 meters/sec and it has a centripetal acceleration of 9 meters/sec2. Calculate the diameter of the circle.

__________meters
 
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[tex]A_{c} = \frac{v^2}{r}[/tex]
 
The diameter is twice the radius what is the formula of centripetal acceleration.
 
got the answer
 

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