Two particles A and B are moving in uniform circular motion in concentric circles of radii r_A and r_B with speed v_A and v_B respectively. Their time period of rotation is the same. The ratio of ang…

Question

Two particles A and B are moving in uniform circular motion in concentric circles of radii r_A and r_B with speed v_A and v_B respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be [NEET 2019]

Accepted Answer

Correct answer: A. (a) Given, two particle are rotating in circles of radii r_A and r_B. Time taken for particle A to revolve one revolution t_A= 2 r_Av_A Time taken for particle B to revolve one revolution t_B= 2 r_Bv_B Since, t_A=t_B ⇒ 2 r_Av_A= 2 r_Bv_B or v_Ar_A= v_Br_B ⇒ _A= _B Hence, the ratio of their angular speed will be 1 :1.

$Two particles A and B are moving in uniform circular motion in concentric circles of radii r_{A} and r_{B} with speed v_{A} and v_{B} respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be [NEET 2019]$

Solution

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