Wheel attached to a fixed shaft

  • Thread starter Thread starter aigerimzh
  • Start date Start date
  • Tags Tags
    Shaft Wheel
AI Thread Summary
To determine the moment of inertia (I0) of a wheel attached to a fixed shaft, a known force (F) is applied to a tape wrapped around the shaft, causing the system to rotate. The relationship between the force, the length of tape unwound (L), and the resulting angular speed (ω0) is crucial for the calculation. The discussion emphasizes using work and energy principles to derive I0, suggesting that the work done by the force translates into rotational kinetic energy. An example is provided, indicating that with specific values (F=10N, L=5m, ω0=0.5rad/s), the moment of inertia can be calculated as 400 kg*m^2. Understanding these relationships is key to solving the problem effectively.
aigerimzh
Messages
15
Reaction score
0

Homework Statement



A wheel is attached to a fixed shaft, and the system is free to rotate without friction. To measure the moment of inertia of the wheel-shaft system, a tape of negligible mass wrapped around the shaft is pulled with a known constant force F. When a length L of tape has unwound, the system is rotating with angular speed w(omega)0. Find the moment of inertia of the system, I0.

Homework Equations





The Attempt at a Solution


Please help me... I don't have any idea. Except Answer clue: if F=10N, L=5m, w(omega)0=0.5rad/s, then I0=400 kg*m^2
 
Physics news on Phys.org
Think about work/energy relationships. What have you studied about work, potential energy, and kinetic energy?
 

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

Start-up acceleration, max speed and torque of a transfer car
Replies
9
Views
3K
A cart with two cylindrical wheels connected by a rod
Replies
8
Views
2K
How Do You Calculate the New Angular Speed of Coupled Wheels?
Replies
2
Views
2K
Rolling without slipping problem
Replies
42
Views
3K
What is the Kinetic and Linear Dynamics of a Falling Wheel with a Rope?
Replies
46
Views
4K
Rotating disk dropped onto another rotating disk
Replies
5
Views
8K
Wheel-Hub System and Angular Acceleration
Replies
2
Views
2K
Descending mass on rope attached to wheel
Replies
13
Views
7K
What is the Maximum Angular Velocity of a Reverse Three-Speed Transmission?
Replies
8
Views
5K
Dynamic system of self balancing robot
Replies
4
Views
729

Hot Threads

Recent Insights

Back
Top