Rotational Motion - Finding Linear Distance

[hana.e.kim]

Homework Statement

A 45.0 cm diameter wheel accelerates uniformly from 205 rpm to 385 rpm in 7.5 s. How far will a point on the edge of the wheel have traveled in this time?

Homework Equations

w=omega
v=initial omega
a=angular acceleration
r=radius
h=theta
t=time
s=distance traveled.

w^2=v^2 + 2ah
a=(w-v)/t
h=s/r

The Attempt at a Solution

So, I converted 205 rpm and 385 rpm to rad/s. Then I found angular acceleration by using the formula: a=(w-v)/t. Then I plugged everything into the equation: w^2=v^2 + 2ah and solved for h(theta). Then I converted h(theta), which was in radians, to meters by multiplying it by the radius because h(theta)=s/r. Apparently that's the wrong way though, so if anyone could help me out, I'd love him/her forever. Thank you!

 

[hage567]

Can you show your calculations? It's much easier to track down an error that way.

 

[hana.e.kim]

Actually, I figured out how to do it. Thanks anyway!