How Does Angular Acceleration Affect Angular Velocity?

AI Thread Summary
The discussion focuses on calculating the angular velocity of a grinding wheel after a constant tangential force is applied. Given the wheel's radius of 0.330 m, a force of 270 N results in an angular acceleration of 0.984 rad/s². Starting from rest, the angular velocity can be determined using the formula ω = αt, where α is angular acceleration and t is time. After 4.30 seconds, the angular velocity can be calculated, but the user is uncertain about the correct equation to use. The conversation emphasizes understanding the relationship between angular acceleration and angular velocity in rotational motion.
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Homework Statement


A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 270 N applied to its edge causes the wheel to have an angular acceleration of 0.984 rad/s2.

If the wheel starts from rest, what is its angular velocity after 4.30 s have elapsed, assuming the force is acting during that time?

Homework Equations


Moment of intertia is 90.457kg/m2
mass of wheel is 1661.29kg


The Attempt at a Solution



I was able to find moment of inertia and mass of wheel above...not sure about angular velocity. I can't find the right equation what uses I.
 
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nm...it was just w=at
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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