Constant angular acceleration problem

AI Thread Summary
To solve the constant angular acceleration problem of a centrifuge that operates at 3600 rpm and completes 72 rotations before reaching operational speed, it's essential to convert the rotational speed from rpm to rad/sec. The key formula for angular acceleration is the change in angular velocity divided by time, but since time is unknown, the problem can be approached using the analogy of linear motion. The distance covered in angular terms can be calculated, allowing for the determination of angular acceleration without needing the time variable. This method simplifies the calculation by leveraging known values and relationships in rotational dynamics. Understanding these principles is crucial for accurately solving the problem.
Paulhaley2000
Messages
1
Reaction score
0
Ok so here is the problem

A centrifuge operates at 3600 rpm. When switched on it rotates 72 times before reaching operational angular speed. Find the constant angular acceleration while its speeding up.

Ok so I already know I needed to convert rpm to rad/sec which I did. I'm stuck here because the formula I have for ang acc is (Change in W)/ time. But I don't know time or ang acc. Thanks for the help btw
 
Physics news on Phys.org
You don't know the time, but you do know the "distance". The solution is analogous to linear motion in 1 dimension.
 
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...
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...
Back
Top