Two racing cars of masses $m_{1} a n d m_{2}$ are moving in circles of radii $r_{1} a n d r_{2}$ 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

$m_{1} : m_{2}$

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$r_{1} : r_{2}$

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$1 : 1$

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$m_{1} r_{1} : m_{2} r_{2}$

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Solution

The correct option is C
$1 : 1$

As time periods are equal therefore ratio of angular speeds will be same. $ω = \frac{2 π}{T}$

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Two racing cars of masses $m_{1} a n d m_{2}$ are moving in circles of radii $r_{1} a n d r_{2}$ 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