Two racing cars of masses m, and m2 are moving in circles of radii r, 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 :

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Q: 119 (CAPF/2015)
Two racing cars of masses m, and m2 are moving in circles of radii r, 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 :

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,4,10,2,4,7,1

keywords: 

{'angular speed': [0, 0, 0, 1], 'circles': [0, 1, 0, 0], 'speeds': [0, 0, 2, 2], 'second car': [0, 0, 0, 1], 'complete circle': [0, 0, 0, 1], 'ratio': [1, 0, 1, 12], 'r2': [0, 0, 1, 3], 'cars': [0, 0, 5, 5], 'car': [0, 2, 12, 17], 'm2': [0, 1, 0, 6], 'masses': [1, 1, 0, 7]}

In this scenario, we have two racing cars moving in circles with different radii. The mass of the first car is m and its radius is r, while the mass of the second car is m2 and its radius is r2.

The question states that both cars complete their circles in the same time `t.

Angular speed is defined as the rate at which an object rotates or moves around a central point. It is given by the formula angular speed = linear speed / radius.

Since both cars complete their circles in the same time, it means that they have the same linear speed.

Therefore, the ratio of their angular speeds can be determined by comparing their radii.

The correct answer is option 2: 1:1. This means that the ratio of the angular speed of the first car to the angular speed of the second car is 1:1.

In other words, both cars have the same angular speed despite having different masses and radii.