two particles of masses m1 and m2 are moving in circles radii r1 and r2 respectively they make a complete circle in same time then the ratio angular speed
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Given that, both the particles complete on circle in the same time t
We know that,
The angular speed ω=t2π
Now, Angular speed of first particle ω1=t2π
Angular speed of second particle ω2=t2π
Therefore, the ratio of angular speed of the first particle to that of second
ω2ω1=t2πt2π
ω2ω1=11
Hence, the ratio of angular speed of the first particle to that of second is 1:1.
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