How Far Will a Coin Roll Before Stopping?

[ruck101]

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!

 

[Pyrrhus]

Remember

v = r \omega

a = r \alpha

 

[ruck101]

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!

 

[Spectre5]

r is radius...you must change the diameter to radius

 

[ruck101]

reply

dang, I did that the first time I tried this..lol. ok let me reattempt this.

 

[ruck101]

I get the same exact thing.

 

[ruck101]

Reply

Anyone...?