I cant seem to get this angular velocity problem right

AI Thread Summary
The discussion revolves around calculating the angular acceleration of a large pottery wheel driven by a smaller rubber wheel, with the small wheel accelerating at 7.10 rad/s². The calculated angular acceleration for the pottery wheel is 0.6 rad/s². The second part of the problem involves determining the time for the pottery wheel to reach 72 RPM, which translates to 7.54 rad/s. The user initially calculated the time as approximately 12.57 seconds but faced issues with accuracy and significant figures. After revisiting the calculations, the user confirmed the solution was correct.
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A small rubber wheel (radius of 2.60 cm) is used to drive a large pottery wheel (radius of 33.00 cm), and they are mounted so that their circular edges touch. If the small wheel accelerates at the rate of 7.10 rad/s2, and there is no slipping, what is the angular acceleration of the large pottery wheel?

I answer this and it came out to .6 rad/s^2

Then the second part of the equation says

Code:
In the above problem, what is the time taken for the pottery wheel to reach the required speed of 72 rpm?

I simply used the equation

w=w0+at
- W0 would cancle leaving the formula

W=at

72RPM = 7.54 rad/s

7.54/.6 = 12.5667 s

This seems right but it keeps telling me I am wrong
 
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Your angular acceleration is a little off. How many significant figures do you actually need?
 
not really sure all it posted was 1, I redid the problem and got it write
 
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