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Standard XII

Physics

Relation between Linear and Angular Speed

Two particles...

Question

Two particles having mass $M$ and $m$ are moving in a circular path having radius $R$ and $r$ . If their time period are same, then the ratio of their angular velocity will be :

\frac{r}{R}

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\frac{R}{r}

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\sqrt{\frac{R}{r}}

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Solution

The correct option is B $1$
Time period of revolution $T = \frac{2 π}{w}$

As according to question, $T_{1} = T_{2}$

$∴$ $\frac{2 π}{w_{1}} = \frac{2 π}{w_{2}}$

$⟹ w_{1} = w_{2}$

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Two particles having mass M and m are moving in a circular path having radius R and r. If their time period are same, then the ratio of their angular velocity will be :

The correct option is B 1Time period of revolution T=2πwAs according to question, T1=T2∴ 2πw1=2πw2 ⟹w1=w2

Two particles having mass $M$ and $m$ are moving in a circular path having radius $R$ and $r$ . If their time period are same, then the ratio of their angular velocity will be :

The correct option is B $1$
Time period of revolution $T = \frac{2 π}{w}$

As according to question, $T_{1} = T_{2}$

$∴$ $\frac{2 π}{w_{1}} = \frac{2 π}{w_{2}}$

$⟹ w_{1} = w_{2}$