Bicycle Wheel Radius Calculation

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To calculate the radius of a bicycle wheel given its angular acceleration and tangential acceleration, the relationship between centripetal acceleration (ac) and angular acceleration (a) is used. The tangential acceleration is provided as 49 cm/s², which converts to 0.49 m/s². The formula applied is r = ac/a, leading to an initial calculation of 2.8571 m for the radius. However, the user indicates that this answer is incorrect and seeks clarification on the definitions of ac and a. Understanding these terms is crucial for correctly solving the problem.
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Homework Statement


A bicycle wheel has an angular acceleration of 1.4 rad/s^2. If a point on its rim has a tangential acceleration of 49 cm/s^2, what is the radius of the wheel?
Answer in units of m.


Homework Equations



ac=r*a

The Attempt at a Solution



49 cm/s^2=.49m/s^2
r=ac/a=2.8571

But the answer is wrong, where did I mess up?
 
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Just to make things clear, what is ac and what is a?

ehild
 

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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