Two racing cars of masses $m_{1}$ and $m_{2}$ are moving in circles of radii $r_{1}$ and $r_{2}$ respectively. Their speeds are such that each makes a complete circle in the same time $t$ . The ratio of the angular speeds of the first to the second car is

1 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

m_{1} : m_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

r_{1} : r_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $1 : 1$
Given that both the cars complete one circle in the same time $t$
We know that angular speed $ω = \frac{2 π}{t} rad/s$

Therefore, the ratio of angular speed of the first car to that of the second car is
$\frac{ω_{1}}{ω_{2}} = \frac{\frac{2 π}{t}}{\frac{2 π}{t}} = \frac{1}{1}$

Suggest Corrections

Similar questions

Q. Two racing cars of masses

m_{1}

and

m_{2}

are moving in circles of radii

r_{1}

and

r_{2}

respectively. Their speeds are such that each makes a complete circle in the same time

t

. The ratio of the angular speeds of the first to the second car is

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