Rotational Motion, angular velocity

AI Thread Summary
Two cars on a ride rotate at different angular velocities, with the inner car moving at three times the speed of the outer car. They start aligned at t = 0, with angular velocities of 3ω and ω. To determine when they will next pass each other, the solution is π/ω, although the method to reach this conclusion is unclear to the participants. A hint suggests considering the relative angular velocity of the two cars to formulate equations for their motion. Understanding the relationship between their velocities is key to solving the problem.
jimla
Messages
1
Reaction score
0

Homework Statement



Two people are on a ride where the inside cars rotate at constant angular velocity three
times the constant angular velocity of the outer cars. If the two cars are in line at t = 0,
and moving at 3ω and ω respectively, at what time will they next pass each other?

The Attempt at a Solution



The answer is π/ω but I can't figure out how to get there! Please help!
 
Physics news on Phys.org
jimla said:

Homework Statement



Two people are on a ride where the inside cars rotate at constant angular velocity three
times the constant angular velocity of the outer cars. If the two cars are in line at t = 0,
and moving at 3ω and ω respectively, at what time will they next pass each other?

The Attempt at a Solution



The answer is π/ω but I can't figure out how to get there! Please help!

What variable n represent?

Look at the clock at noon when the hour and minute hand are at top of each other. When will the next when the minute hand pass hour hand?
 
Last edited:
azizlwl said:
What variable n represent?
I think it is "pi".
 
thanks. Old eyes need reading glasses.
 
jimla said:
The answer is π/ω but I can't figure out how to get there! Please help!

Do tell us how you tried it out, its much easier to help then :smile:

As a basic hint, think about the relative angular velocity of the two objects.
 
welcome to pf!

hi jimla! welcome to pf! :wink:
jimla said:
If the two cars are in line at t = 0,
and moving at 3ω and ω respectively …

ok, now translate that into (two) equations …

what do you get? :smile:​
 

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

System of two wheels of different sizes with an axle through their centers
2
Replies
67
Views
4K
Angular momentum of a rotating disc
Replies
3
Views
2K
Angular Momentum- Conserved or not?
Replies
17
Views
341
Perfectly inelastic collision of two moving and rotating disks
Replies
9
Views
2K
Brownian Ratchet (exercise framed by Feynman's Lectures, l. 46)
Replies
32
Views
2K
What's the source of increase in rotational energy of carousel?
Replies
9
Views
2K
Frictional force between two rotating cylinders
Replies
11
Views
2K
Determine the angular velocity as a function of the angle
Replies
39
Views
3K
Rotational Motion: Average angular acceleration of a CD
Replies
2
Views
6K
What Causes Discrepancies in Calculating Initial Angular Velocity?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top