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Q.

Two racing cars of masses m₁ and m₂ are moving in circles of radii r₁ and r₂ respectively. Their speeds are such that each makes a complete circle in the same time t. The ratio of the angular speed of the first to the second car is

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a

r₁ : r₂

b

m₁ : m₂

c

1 : 1

d

m₁m₂ : r₁r₂

answer is C.

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Detailed Solution

Angular velocity and time period of revolution are related by the equation $ω = \frac{2 π}{T}$

$∴ \frac{ω_{1}}{ω_{2}} = \frac{2 π / T_{1}}{2 π / T_{2}} = \frac{T_{2}}{T_{1}} = 1 [{AsT}_{1} = T_{2}] = 1$

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Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same time t. The ratio of the angular speed of the first to the second car is