Pulley Problems with Rotation

  • Thread starter Thread starter A2Fire
  • Start date Start date
  • Tags Tags
    Pulley Rotation
AI Thread Summary
To determine the time required for wheel C to reach a rotational speed of 100 rev/min, the relationship between the angular speeds of wheels A and C must be established, considering their radius ratio. Wheel A has a radius of 10 cm and accelerates at 1.6 rad/s², while wheel C has a radius of 25 cm, leading to a speed increase of 2.5 times that of wheel A. The equations of motion for rotational dynamics should be applied, specifically focusing on the angular acceleration and the relationship between angular displacement and time. The confusion arises from calculating the angular displacement (theta) needed for the equations, as the linear distance (d) is not directly provided. A clear understanding of the relationship between angular displacement and the radius is crucial for solving the problem effectively.
A2Fire
Messages
3
Reaction score
0
1. Wheel A of radius 10 cm is coupled by belt B to a wheel C of radius 25 cm. Wheel A increases its angular speed from rest at a uniform rate of 1.6 rad/s^2. Determine the ime required for wheel C to reach a rotational speed of 100 rev/min, assuming the belt does not slip



2. I'm very confused by what exactly I have to solve for first. I know that I have to use the 5 equations of motion (with the rotation variables subbed in for the linear ones) but I'm still not sure.



3. I thought that since the radius of C is A*2.5, I thought about solving for A, and then multiplying by 2.5, but I don't know... Can someone please show me how to do it?
 
Physics news on Phys.org
by coupled, it means that the two wheels are connected by a belt that goes around them, like a rubber band.
 
wf^2-wi^2=2a(theta) is what I'm thinking of using, but I don't know where to get (theta) in relation to the radius. i know that theta r = d, but there's no "d"

:(
 

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...
View full post »
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...
View full post »

Similar threads

What mass must be placed on the cord to keep the pulley from rotating?
Replies
1
Views
862
What is the Linear Distance and Angular Velocity of a Rotating Potter's Wheel?
Replies
7
Views
2K
Force on a rotating wheel/disc
Replies
25
Views
2K
Oscillatory motion problem: Bicycle wheel rotation oscillation
Replies
17
Views
891
System of two wheels of different sizes with an axle through their centers
2
Replies
67
Views
4K
What happens to a ball placed on a moving conveyor belt?
Replies
8
Views
3K
Forces when car wheels "lay rubber"
Replies
5
Views
2K
Angular Velocity: Pulley and belt system
Replies
11
Views
3K
Mechanics: Two masses on a pulley causing two cylinders to accelerate
Replies
16
Views
2K
Brownian Ratchet (exercise framed by Feynman's Lectures, l. 46)
Replies
32
Views
2K

Hot Threads

Recent Insights

Back
Top