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3-2.Motion in Plane
medium
Two particles $A$ and $B$ are moving in uniform circular motion in concentric cirdes of radius $r_{A}$ and $r_{B}$ with speed $v_A$ and $v_B$ respectively. The time period of rotation is the same. The ratio of angular speed of $A$ to that of $B$ will be
A$\mathrm{r}_{\mathrm{A}}: \mathrm{r}_{\mathrm{B}}$
B${v}_{{A}}: {v}_{{B}}$
C$\mathrm{r}_{\mathrm{B}}: \mathrm{r}_{\mathrm{A}}$
D$1: 1$
(NEET-2019)
Solution
$\mathrm{T}_{\mathrm{A}}=\mathrm{T}_{\mathrm{B}}$
$\Rightarrow \frac{2 \pi}{\omega_{A}}=\frac{2 \pi}{\omega_{B}}$
$\Rightarrow \frac{\omega_{A}}{\omega_{B}}=1: 1$
$\Rightarrow \frac{2 \pi}{\omega_{A}}=\frac{2 \pi}{\omega_{B}}$
$\Rightarrow \frac{\omega_{A}}{\omega_{B}}=1: 1$
Standard 11
Physics
