Two particle A abd 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 : 

 

  • Option 1)

    r _A : r_B

  • Option 2)

    v_A : v_B

  • Option 3)

    r _B : r _ A

  • Option 4)

    1 : 1 

Answers (1)

     A                B   

Radius \ \ \ r_A \: \: \: \: \: r _B \\\\ velocity \ \ V_A \: \: \: \: \: V_B \\\\ angular \ \ velocity \ \ W_A \: \: \: \: \: W_B\\\\ time \ \ period \ \ T_A\: \: \: \: \: T_B

T = \frac{2 \pi }{\omega }  as 

as \ \ T_A = T_B \\\\ so \: \: W_A = W_B


Option 1)

r _A : r_B

Option 2)

v_A : v_B

Option 3)

r _B : r _ A

Option 4)

1 : 1 

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