Calculating Distance Traveled on a Rotating Wheel

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SUMMARY

The discussion focuses on calculating the distance traveled by a point on the circumference of a wheel with a radius of 2.8 meters when rotated through 30 degrees, 30 radians, and 30 revolutions. The formula used for this calculation is s = r * θ, where θ must be in radians. The conversion of degrees and revolutions to radians is essential for accurate computation. The solution confirms that the distance for 30 radians is straightforward, while the other two require conversion.

PREREQUISITES
  • Understanding of rotational motion concepts
  • Familiarity with the formula s = r * θ
  • Ability to convert degrees and revolutions to radians
  • Basic knowledge of trigonometry
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  • Learn how to convert degrees to radians
  • Study the relationship between revolutions and radians
  • Explore applications of rotational motion in physics
  • Practice problems involving circular motion and distance calculations
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Students studying physics, particularly those focusing on rotational motion, as well as educators looking for clear examples of distance calculations on rotating objects.

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[SOLVED] Rotational Motion question!

Homework Statement


A wheel has a radius of 2.8 m. How far does a point on the circumference travel if the wheel is rotated through angles of 30 degrees, 30 radians, and 30 revolutions?


Homework Equations





The Attempt at a Solution


I tried to use s=2pie(r) & theta=s/r but neither worked.

This problem seems like it would be super easy, but I really have no idea how to do it! Help!

Thanks!
 
Last edited:
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It is super easy. s=r*theta works if the angle is measured in radians. That makes the 30 radian part pretty easy. For the others you'll need to convert degrees and revolutions to radians.
 
Thank you!
 

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