A particle is moving in a circular path. It covers the first one-third part of circumference in 2s and next one-third in 1s . Find the average angular velocity of the particle ( in rad/s ).

Question

A particle is moving in a circular path. It covers the first one-third part of circumference in 2s and next one-third in 1s . Find the average angular velocity of the particle ( in rad/s ). (A) (2 π /3) (B) (π /3) (C) (4 π /9) (D) (5 π /3)

Tardigrade Admin · Accepted Answer

Suppose angular displacement of the first one-third of the circumference is θ 1 -and the Second one-third angular displacement is θ 2 . AverageAngularVelocity((ω )avg)=(Total Angular Displacement/Total time)

ω avg=((2 π /3) + (2 π /3)/2 + 1) ω avg=((4 π /3)/3)=(4 π /9)rad./sec

Q. A particle is moving in a circular path. It covers the first one-third part of circumference in $2 s$ and next one-third in $1 s$ . Find the average angular velocity of the particle ( in $r a d / s$ ).

$\frac{2 π}{3}$

$\frac{π}{3}$

$\frac{4 π}{9}$

$\frac{5 π}{3}$

Q. A particle is moving in a circular path. It covers the first one-third part of circumference in 2s and next one-third in 1s . Find the average angular velocity of the particle ( in rad/s ).

32π​

3π​

94π​

35π​

Suppose angular displacement of the first one-third of the circumference is θ1​ -and the Second one-third angular displacement is θ2​ . AverageAngularVelocity((ω)avg​)=TotaltimeTotalAngularDisplacement​ ωavg​=2+132π​+32π​​ ωavg​=334π​​=94π​rad./sec

Q. A particle is moving in a circular path. It covers the first one-third part of circumference in $2 s$ and next one-third in $1 s$ . Find the average angular velocity of the particle ( in $r a d / s$ ).

$\frac{2 π}{3}$

$\frac{π}{3}$

$\frac{4 π}{9}$

$\frac{5 π}{3}$