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Standard IX

Physics

Centripetal Force

Two cars havi...

Question

Two cars having masses $m_{1}$ and $m_{2}$ move in circles of radii $r_{1}$ and $r_{2}$ respectively.If they complete the circles in equal time,the ratio of their angular speed $ω_{1} / ω_{2}$ is

m_{1} / m_{2}

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r_{1} / r_{2}

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m_{1} r_{1} / m_{2} r_{2}

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Solution

The correct option is D 1
In circular motion,we have:
$ω = \frac{2 π}{T}$ where $ω$ is angular velocity and $T$ is time period.
since $T$ is same for both the car, $\frac{ω_{1}}{ω_{2}} = 1$

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Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively.If they complete the circles in equal time,the ratio of their angular speed ω1/ω2 is

The correct option is D 1In circular motion,we have:ω=2πT where ω is angular velocity and T is time period.since T is same for both the car, ω1ω2=1

Two cars having masses $m_{1}$ and $m_{2}$ move in circles of radii $r_{1}$ and $r_{2}$ respectively.If they complete the circles in equal time,the ratio of their angular speed $ω_{1} / ω_{2}$ is

The correct option is D 1
In circular motion,we have:
$ω = \frac{2 π}{T}$ where $ω$ is angular velocity and $T$ is time period.
since $T$ is same for both the car, $\frac{ω_{1}}{ω_{2}} = 1$