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

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The discussion focuses on calculating the diameter of a circle in which a weight is swung, given a speed of 12 meters per second and a centripetal acceleration of 9 meters per second squared. Using the formula for centripetal acceleration, A_c = v²/r, the radius is determined to be 16 meters. Consequently, the diameter of the circle is calculated to be 32 meters. The thread emphasizes the relationship between speed, radius, and centripetal acceleration in circular motion. This calculation illustrates fundamental principles of physics related to circular dynamics.
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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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A_{c} = \frac{v^2}{r}
 
The diameter is twice the radius what is the formula of centripetal acceleration.
 
got the answer
 
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