A planetary gear train has four gears and one carrier. Angular velocities of the gears are ω1, ω2, ω3, and ω4 respectively. The carrier rotates with angular velocity ω5.
- What is the relation between the angular velocities of Gear 1 and Gear 4?
a)$\frac{_{\omega 1-\omega 5}}{_{\omega 4-\omega 5}}=6$
b)$\frac{_{\omega 4-\omega 6}}{\omega 1-\omega 5}=6$
c)$\frac{_{\omega 1-\omega 2}}{\omega 4-\omega 5}=-\left ( \frac{2}{3} \right )$
d)$\frac{_{\omega 2-\omega 5}}{\omega 4-\omega 5}=-\left ( \frac{8}{9} \right )$