Ques no. 23 : Two racing cars of
masses and are moving in circles
of radii r1 and r2 respectively. Their
speeds are such that each makes a
complete circle in the same
duration of time t. The ratio of the
angular speed of the first to the
second car is
m 1:m2
r1:12
DELHI
Vs
1:1
BANGALORE
m1:11:m2:r2
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Explanation:
Given that, both the cars complete on circle in the same time t
We know that,
The angular speed ω=t2π
Now, Angular speed of first car ω1=t2π
Angular speed of second car ω2=t2π
Therefore, the ratio of angular speed of the first car to that of second
ω2ω1=t2πt2π
ω2ω1=11
Hence, the ratio of angular speed of the first car to that of second is 1:1.
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