Particles A and B move about the same centre with signed angular velocities $\omega_{A}$ = +5 rad/s and $\omega_{B}$ = -3 rad/s. The angular velocity of A relative to B is:
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Question

Particles A and B move about the same centre with signed angular velocities ω A \omega_{A} ω A ​ = +5 rad/s and ω B \omega_{B} ω B ​ = -3 rad/s. The angular velocity of A relative to B is:

G1 Physics · Accepted Answer

Relative angular velocity is ω_A/B = ω_A - ω_B = 5 - (-3) = 8 rad/s. The positive sign means A advances in the positive angular direction relative to B.

Particles A and B move about the same centre with signed angular velocities ω A \omega_{A} ω A ​ = +5 rad/s and ω B \omega_{B} ω B ​ = -3 rad/s. The angular velocity of A relative to B is:

Particles A and B move about the same centre with signed angular velocities ω A \omega_{A} ω A = +5 rad/s and ω B \omega_{B} ω B = -3 rad/s. The angular velocity of A relative to B is: