GATE2016-1-36

In the gear train shown, gear $3$ is carried on arm $5$. Gear $3$ meshes with gear $2$ and gear $4$. The number of teeth on gear $2$, $3$, and $4$ are $60$, $20$, and $100$, respectively. If gear $2$ is fixed and gear $4$ rotates with an angular velocity of $100$ $rpm$ in the counterclockwise direction, the angular speed of arm $5$ (in $rpm$) is

1. $166.7$ counterclockwise
2. $166.7$ clockwise
3. $62.5$ counterclockwise
4. $62.5$ clockwise

recategorized

Related questions

A helical gear with $20^{\circ}$ pressure angle and $30^{\circ}$ helix angle mounted at the mid-span of a shaft that is supported between two bearings at the ends. The nature of the stresses induced in the shaft is normal stress due to bending only ... bending in two planes and axial loading; shear stress due to torsion normal stress due to bending in two planes; shear stress due to torsion
An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are $20$, $30$ and $20$, respectively. Gear C has $80$ teeth on the inner surface and $100$ teeth on the outer surface. If the carrier arm AB is fixed and the sun gear A rotates at $300$ rpm in the clockwise direction, then the rpm of D in the clockwise direction is $240$ $-240$ $375$ $-375$
In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at $100$ rpm. Let the number of teeth on the sun, planet and outer gears to be $50, 25$ and $100$, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is ________.
A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body diagrams of pinion and gear showing important forces ($F_1$ and $F_2$) of interaction. Which of the following relations ... $F_2=I_2\dfrac{1}{r_2}\ddot{\theta _1};$
A pair of spur gears with module $5$ $mm$ and a center distance of $450$ $mm$ is used for a speed reduction of $5:1$. The number of teeth on pinion is _______