Acceleration in Uniform Circular Motion

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SUMMARY

The acceleration of a 10 kg mass moving at a speed of 2 m/s in uniform circular motion with a radius of 2 m is calculated using the formula a = v²/r. The correct calculation yields an acceleration of 2 m/s². The initial confusion arose from a misunderstanding of the terms speed and velocity, but the calculation itself was accurate. The issue was not with the math but rather with the grading of the response.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of uniform circular motion principles
  • Familiarity with the formula for centripetal acceleration (a=v²/r)
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Review the principles of uniform circular motion and centripetal force
  • Study the differences between speed and velocity in physics
  • Explore additional examples of centripetal acceleration calculations
  • Learn about the implications of mass in circular motion scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking to clarify concepts related to acceleration in uniform circular motion.

sleepingarmy
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Homework Statement



What is the acceleration (in m/s^2) of a 10 kg mass moving with speed 2 m/s in uniform circular motion about a circle of radius 2m?


Homework Equations



F=ma
a=v^2/r in uniform circular motion


The Attempt at a Solution



Seems simple enough. To find the acceleration I simply squared the speed and divided by the radius. 2^2/2=2m/s^2.

This was graded as incorrect. What am I doing wrong? Am I confusing speed and velocity? Please help!
 
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Looks fine to me. Was that the entire question?
 
Yup. I think the professor may have made a mistake. I'll take it to him. Thanks!
 

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