A particle undergoes uniform circular motion. The velocity and angular velocity of the particle at an instant of time are v → = 3 i + 4 j m/s and ω → = x i + 6 j rad/s. The value of x in rad/s is A) 8 B)6 C)-8 D)-6

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A particle undergoes uniform circular motion. The velocity and angular velocity of the particle at an instant of time are             v      →        =      3    i    +      4    j   m/s and                     ω            →        =      x    i    +      6    j   rad/s. The value of x in rad/s is A) 8 B)6  C)-8  D)-6

Paola Hays · Accepted Answer

The correct option is  C −8 For a particle moving uniformly in circles,             v      →                  ω      →        =  0  ⇒            v      →        ⊥            ω      →          ∴            v      →                  ω      →        =  (  3            i      ¯        +  4            j      ¯        )  .  (  x            i      ¯        +  6            j      ¯        )  =  0    ⇒  3  x  +  24  =  0    ⇒  x  =  −  8  r  a  d      /    s

A particle undergoes uniform circular motion. The velocity and angular velocity of the particle at an instant of time are vec(v)=3 bar(i)+4 bar(j) m/s and vec(omega)=x bar(i)+6 (j) rad/s.The value of x in rad/s is 8,6,-8,-6

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