Circular Motion: Solving for Distance Traveled in an Hour

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SUMMARY

The discussion focuses on calculating the distance traveled by a wheel with a diameter of 1 meter rotating at 100 revolutions per minute. The solution involves converting revolutions to radians and then applying the formula for arc length, S = θr. The final calculation shows that the wheel travels 18,800 meters in one hour.

PREREQUISITES
  • Understanding of circular motion concepts
  • Familiarity with radians and revolutions
  • Basic knowledge of the formula for arc length (S = θr)
  • Ability to perform unit conversions (e.g., minutes to hours)
NEXT STEPS
  • Study the relationship between revolutions per minute and linear distance traveled
  • Learn about angular velocity and its applications in circular motion
  • Explore more complex problems involving varying diameters and speeds
  • Investigate real-world applications of circular motion in engineering
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples to illustrate these concepts.

ataglance05
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CIRCULAR MOTION!

Homework Statement


A wheel 1 meter in diameter is rotating at 100 revolutions per minute along a level stretch. How far down the road does the wheel travel in hour?


Homework Equations


i think...
circularmotion.jpg


The Attempt at a Solution


100 revs=200(pi) radians/60sec * 3600sec=
=10.47 * 3600sec
=3.769*10^4 rads/hr

S=(theta)(r)
S=(theta)(.5 meters)
S=(3.769*10^4 rads/hr)(0.5m)
S=1.88*10^4 m

Please corroborate such undertakings!
 
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You are correct. :approve:
 

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