How Far Will a Coin Roll Before Stopping?

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Homework Help Overview

The problem involves calculating the distance a coin rolls before stopping, given its diameter, angular speed, and angular deceleration. The subject area pertains to rotational motion and kinematics.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conversion of diameter to radius and the application of angular relationships to find linear velocity and acceleration. There are questions about the setup of the problem and the correctness of the calculations.

Discussion Status

Some participants have provided guidance on the relationships between angular and linear quantities. There is an ongoing exploration of the calculations, with some participants expressing uncertainty about their results.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the information they can share or the methods they can use. There is a noted confusion regarding the conversion from diameter to radius.

ruck101
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Here's the problem:

diameter = 3.45 cm
angular speed = 11.4 rad/s
angular deceleration = -.96 rad/s

How far does the coin roll before coming to a stop?

How would I set this problem up? Thanks!
 
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Remember

[tex]v = r \omega[/tex]

[tex]a = r \alpha[/tex]
 
Reply

thanks for the reply.
ok, I converted 3.45 cm to m = .0345 m
then, I got the linear velocity = 11.4 x .0345 = .3933 m/s
next, I got the linear acceleration = -.96 x .0345 = -.03312 m/s^2

ok, I plug all of this into a kinematics equation and get 5.94 m, does this sound right? Thanks!
 
r is radius...you must change the diameter to radius
 
reply

dang, I did that the first time I tried this..lol. ok let me reattempt this.
 
I get the same exact thing.
 
Reply

Anyone...?
 

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