a car is going round a circle of radius R1 with a constant speed another car is going around a circle of radius R2 with constant speed if both of them take same time to complete the circles the ratio of their angular speed and linear speed will be
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The ratio of linear velocities of two cars is
SOLUTION:
For car travelling in a circle of radius
The angular speed ω will be
According to the question the time taken by both the cars are same so let the take taken by both car be “t”
So for the first car
For linear velocity of first car, from the relation v=r \omega
We have,
Similarly for the second car travelling around circle of radius R_{2}.
The angular speed will be
The linear velocity of this car will be
So, the ratio of linear velocities of these two cars is
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