Two racing cars of masses m₁ and m₂ are moving in circles of radii r₁ and r₂ respectively. Their speeds are such that each car makes a complete circle in the same time ‘t’. The ratio of angular speed of the first to that of the second car is :
m₁ : m₂
1 : 1
r₁ : r₂
1 : 2
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2015
For the first car, ω₁ = 2π / t.
For the second car, ω₂ = 2π / t.
The ratio of their angular speeds is ω₁ : ω₂ = (2π / t) : (2π / t) = 1 : 1.
The masses (m₁ and m₂) and radii (r₁ and r₂) of the cars are irrelevant for determining the ratio of angular speeds when the time period is given to be the same.