Rotation of a Rigid Object about a fixed axis

  • Thread starter Thread starter XwakeriderX
  • Start date Start date
  • Tags Tags
    Axis Rotation
AI Thread Summary
The discussion revolves around calculating the rotational speed of a wheel after a lead weight collides with it. The wheel consists of thin rods and a metal ring, with the lead weight impacting it horizontally. Participants express confusion about determining the final angular momentum (L_f) and the transition from linear to angular momentum. Suggestions include using the conservation of energy and calculating the total moment of inertia (I) to find the angular velocity (ω). The conversation emphasizes the importance of understanding the relationship between linear momentum and angular motion in this context.
XwakeriderX
Messages
49
Reaction score
0

Homework Statement


A wheel is comprised of two 50.0 cm long thin rods of negligible mass and a thin metal ring with a mass of 10.00 kg, mounted on a very low friction bearing. A 100 gram lead weight is shot horizontally at the stationary wheel with an initial speed of 50.0 m/s and sticks to the rim of the wheel. What is the rotational speed of the wheel plus lead mass immediately after the collision? Give your answer in revolutions/second.


Homework Equations


L_f=(I_a + I_b)W_f



The Attempt at a Solution


I know of to find the moments of inertia I am just confused about how to find L_f. The bullet would be travelings in a linear momentum not angular. How can i find this value?
 
Physics news on Phys.org
I think you should just use conservation of energy.

You can get the total moment of inertia I, the equation 0.5Iω2=0.5mv2 to get ω.
 

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

Rotational Momentum: Calculating Angular Speed After Cockroach Stops
Replies
2
Views
2K
System of two wheels of different sizes with an axle through their centers
2
Replies
67
Views
4K
Bullet Strikes Wheel - find rotations/second
Replies
6
Views
2K
Calculating Clicks: Spoke Card Oscillations and Rotational Motion
Replies
3
Views
2K
Solving rotational motion without torque
Replies
12
Views
2K
How Do Friction and Force Affect the Angular Velocity of Connected Wheels?
Replies
19
Views
3K
How Does the Rotational Inertia Affect Rolling Motion on an Inclined Plane?
Replies
3
Views
2K
Rotational Inertia about Rotation Axis Through COM
Replies
2
Views
3K
Calculating Final Angular Speed of a Rotating Disk with a Horizontal Axis
Replies
8
Views
3K
Choosing Axis of Rotation in Cylinder Oscillation Problem
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top