Distance a rotating turnable moves

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Homework Help Overview

The problem involves calculating the distance a point on the edge of a rotating turntable moves, given its radius and the angle in radians through which it rotates. The subject area relates to circular motion and geometry.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between radians and distance, questioning whether the distance can be calculated directly from the radius and angle in radians. There is also a consideration of how to approach the problem if degrees were used instead of radians.

Discussion Status

The discussion is ongoing, with some participants offering insights about the relationship between radians and circumference, while others express confusion and seek further clarification. No consensus has been reached yet.

Contextual Notes

Participants are navigating the problem without a clear equation and are exploring different ways to relate radians to distance. There is mention of potential confusion regarding the conversion between radians and degrees.

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Homework Statement


The radius of a rotating turntable is 2.2 m. If it turns through an angle of 1.1 radians, through what distance does a point on the edge move?


The Attempt at a Solution



I can't find an equation that will give me the distance. Is this like 2 parts or am I just blind to see this equation?
 
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do you know the equation for the circumference of a circle?
 
is it just radians x radius?
 
Ok I got the circumference do I just multiply it by the radians?
 
im still lost on this any inputs?
 
What would you do if it was degrees instead of radians?

(degrees turned)/(total degrees possible 360) x circumference

Now replace the degree portion with a Radian equivalent.
 

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