# Homework Help: Question on circular motion

1. Mar 26, 2012

### nik jain

1. The problem statement, all variables and given/known data
Three point particles P , Q , R move in circle of radius r with different but constant speeds . They start moving from their initial position as shown in figure
The angular velocities (in radian/sec) of P , Q , R are 5∏ , 2∏ , 3∏ respectively in the same sense .
The time interval after which they are at same angular position.

3. The attempt at a solution
Let theta be the angle covered by R in time T
T*3∏ = theta + n1∏ (i)
T*2∏ = (∏/2+theta) + n2∏ (ii)
T*5∏ = (∏+theta) + n3∏ (iii)

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Last edited: Mar 26, 2012