Rotational Motion, angular velocity

[jimla]

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!

 

[azizlwl]

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?

 

[Schmetterling]

What variable n represent?

I think it is "pi".

 

[azizlwl]

thanks. Old eyes need reading glasses.

 

[Infinitum]

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

As a basic hint, think about the relative angular velocity of the two objects.

 

[tiny-tim]

welcome to pf!

hi jimla! welcome to pf!

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? ​