Two 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 they make complete circles in the - Physics MCQ AIEEE 2012 2026 | ExamTest.live

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Two 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 they make complete circles in the same time t . The ratio of their centripetal acceleration is:

Solution & Step-by-step Explanation

Centripetal acceleration is given by a_{c} = ω^{2} r .The angular velocity is ω = \frac{2 π}{t} .Since both cars have the same time period t, they have the same angular velocity ω .Ratio of accelerations: \frac{a _{1}}{a _{2}} = \frac{ω ^{2} r _{1}}{ω ^{2} r _{2}} = \frac{r _{1}}{r _{2}} The mass does not affect centripetal acceleration.

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Two 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 they make complete circles in the same time t . The ratio of their centripetal acceleration is:

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

m_{1} : m_{2}

r_{1} : r_{2}

1 : 1

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