How Does Coupling a Second Wheel Affect Angular Momentum and Energy?

AI Thread Summary
When a second wheel with twice the rotational inertia of the first is coupled to a shaft already rotating at 800 rev/min, the system's angular momentum is conserved. The final angular speed of the combined system can be calculated using the formula for conservation of angular momentum, which states that the initial angular momentum equals the final angular momentum. The introduction of the second wheel results in a decrease in angular speed due to the increased moment of inertia. Additionally, some of the original rotational kinetic energy is lost in the process, which can be quantified by comparing the initial and final energy states. Understanding the coupling and conservation principles is crucial for solving such problems in rotational dynamics.
jalapenojam
Messages
13
Reaction score
0
A wheel is rotating freely with an angular speed of 800 rev/min on a shaft whose rotational inertia is negligible. A second wheel, initially at rest and with twice the rotational inertia of the first, is suddenly coupled to the same shaft. What is the angular speed in rev/min of the resultant combination of the shaft and two wheels? What fraction of the original rotational kinetic energy is lost?

I don't know what "coupled to the shaft" means. How are they connected?
 
Physics news on Phys.org
"Coupled" is a fancy term used in science and engineering to mean connected in a proper way. Hint: the question is testing you on your understanding of the conservation of angular momentum.
 
thanks! i got it
 

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
System of two wheels of different sizes with an axle through their centers
2
Replies
67
Views
4K
Calculate the angular velocity for each case
Replies
5
Views
2K
Angular momentum for a bullet and a rod attached to a ceiling
Replies
17
Views
1K
What Causes the Loss of Mechanical Energy in a Frictionless Spinning Cylinder?
Replies
6
Views
1K
How Does Angular Momentum Conservation Affect Asteroid Collision Dynamics?
7
Replies
335
Views
13K
Why did I get this angular momentum problem wrong?
Replies
25
Views
11K
How Do You Calculate the New Angular Speed of Coupled Wheels?
Replies
2
Views
2K
How Do Friction and Force Affect the Angular Velocity of Connected Wheels?
Replies
19
Views
3K
Ratio of rotational inertias for belt-connected wheels
Replies
7
Views
4K

Hot Threads

Recent Insights

Back
Top