How many revolutions will a centrifuge rotor make before coming to rest?

[Newton=boss]

1.A centrifuge rotor rotating at 5000 rpm is shut off and is eventually brought uniformly to rest by a frictional torque of 1.60 m·N. If the mass of the rotor is 4.70 kg and it can be approximated as a solid cylinder of radius 0.0780 m, through how many revolutions will the rotor turn before coming to rest?



2. Homework Equations Change rpms to rad/sec, Theta = Omega (initial)*time + 1/2*alpha*(t^2).. alpha*1/2*MR^2= Torque



3. I get 1950 revolutions once i switch back to revolutions by mult by 180/pi..

Is it my physics or my math? help please!

 

[ideasrule]

Can you show your work so we can find the problem?

 

[Newton=boss]

1.6=1/2(4.7)(0.078)^2*alpha
alpha=111.908 rad/sec^2..this is a negative quantity

Omega initial=5000 rpm *pi/180=87.266 rad/sec

Omega final=0= 87.266^2 +2(-111.908)(Theta)

Theta= 34.02 rad*180/pi = 1949.51 revolutions

 

[Newton=boss]

I don't know where I am wrong..

 

[ideasrule]

1.6=1/2(4.7)(0.078)^2*alpha
alpha=111.908 rad/sec^2..this is a negative quantity

Omega initial=5000 rpm *pi/180=87.266 rad/sec

That is not how you convert from rpm to rad/sec. rpm means revolutions per second. How many radians is in a revolution? How about seconds in a minute? Make the appropriate conversion using those values.

 

[Newton=boss]

ah! thankyou