Radial acceleration of a discus

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SUMMARY

The discussion centers on calculating the maximum radial acceleration of a 1.00-kg discus rotating along a circular path with a radius of 1.06m and a maximum speed of 20.0m/s. The formula used is ar = -ac = -(v^2/r), resulting in a maximum radial acceleration of -377.358 m/s². The key takeaway is the importance of correctly applying significant figures and the proper notation, as the negative sign is not necessary for the magnitude of acceleration. The participant acknowledges a mistake in notation and emphasizes the need for careful rounding.

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  • Understanding of radial acceleration in circular motion
  • Familiarity with the formula ar = -ac = -(v^2/r)
  • Knowledge of significant figures in scientific calculations
  • Basic principles of physics related to motion
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niyati
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This may seem like a silly way to second-guess an answer, but the problem below seems to have an answer entirely too easy to obtain. O_o And I doubt that I'm getting any better.

An athlete rotates a 1.00-kg discus along a circular path of radius 1.06m. The maximum speed of the discus is 20.0m/s. Determine the magnitude of the maximum radial acceleration of the discus.

ar = -ac = -(v^2/r)
= -(20^2/1.06)
= -377.358 m/s^2
 
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The problem is as easy as it seems. (Maybe you're getting better despite yourself. :smile: ) Your answer is correct--except for the minus sign and carrying too many significant figures.
 
Ah, yes, I know about the extensive amount of decimal points, but I round at the end. XDDD

And, well, stupid mistake. XD I put parantheses around the fraction and then put the negative sign in my notes, but I checked back in my textbook after your reply and fixed it.

:)

Thank you!
 

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