What is the Angular Speed of a Disk Pulled with a Constant Force?

AI Thread Summary
To find the angular speed of a 6kg disk with a radius of 0.3m, initially not spinning, when pulled with a constant force of 25N over a distance of 0.6m, the moment of inertia is calculated as 0.27. The challenge lies in relating the applied force and distance to the resulting angular speed. The relevant equation for rotational kinetic energy is Krotational = 1/2 I w², but further steps are needed to connect linear force to angular motion. Clarification on the relationship between linear displacement and angular speed is required for a complete solution. Understanding these concepts is crucial for solving the problem effectively.
MillerGenuine
Messages
64
Reaction score
0

Homework Statement



A 6kg disk with radius 0.3m initially not spinning. String is wrapped around disk, you pull with constant force of 25N through a distance of 0.6m. What is its angular speed.

Homework Equations



Krotational=1/2 I w2




The Attempt at a Solution



I can't seem to figure this out. I found moment of inertia no problem (0.27), but I am stuck there. I can't seem to relate Force and Distance to angular speed.
 
Physics news on Phys.org
Any help?
 
Bueller...
 

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

Angular Momentum Problem: Mouse walking on a rotating turntable
Replies
5
Views
1K
Conservation of Energy and Angular Momentum in a Rotating Train-Disk System
Replies
30
Views
3K
Calculating Angular Speed of a Disk with Applied Torque and Constant Force
Replies
9
Views
8K
Calculating Final Angular Speed of a Rotating Disk with a Horizontal Axis
Replies
8
Views
3K
Angular speed calculation after an inelastic collision
Replies
20
Views
3K
Masses Moving Radially on a Rotating Disk
Replies
8
Views
2K
Two spinning disks, did I mess up?
Replies
5
Views
2K
Time required for disk to reach angular speed?
Replies
11
Views
2K
Determining the Speed of a Rotating Disk with a Constant Force
Replies
10
Views
3K
Rubber on a rotating disk (angular velocity, forces)
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top