PhysicsTwo particles A and B are moving in uniform circular motion in concentric circles of radii rA and rB with speed νA and νB respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be

Two particles A and B are moving in uniform circular motion in concentric circles of radii r_A and r_B with speed $ν_{A}$ and $ν_{B}$ respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be

A
r_B : r_A
B
1 : 1
C
r_A : r_B
D
$v_{A} : v_{B}$

Solution:

$\begin{array}{l} T_{A} = T_{B} = T \Rightarrow ω_{A} = \frac{2 π}{T_{A}} \Rightarrow ω_{B} = \frac{2 π}{T_{B}} \\ \frac{ω_{A}}{ω_{B}} = \frac{T_{B}}{T_{A}} = \frac{T}{T} = 1 \end{array}$

Related content

Difference Between Mass and Weight

Differences & Comparisons Articles in Physics

Important Topic of Physics: Reynolds Number

Distance Speed Time Formula

Refractive Index Formula

Mass Formula

Electric Current Formula

Electric Power Formula

Resistivity Formula

Weight Formula