The Levi type-A train illustrated in the figure has gears with module $m = 8 \text{ mm/tooth}$. Gears 2 and 3 have 19 and 24 teeth respectively. Gear 2 is fixed and internal gear 4 rotates at 20 rev/min counter-clockwise. The magnitude of angular velocity of the arm is _________ rev/min. (rounded off to 2 decimal places)
![GATE ME 2024 Theory of Machines - Gears and Gear Trains Question 4 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lx728omu/b990fedc-12de-4cb9-a5c4-42e0d84885aa/01c4c560-261b-11ef-a279-4f9760cfcb83/file-6y3zli1lx728omv.png?format=png)
A schematic of an epicyclic gear train is shown in the figure. The sun (gear 1) and planet (gear 2) are external, and the ring gear (gear 3) is internal. Gear 1, gear 3 and arm OP are pivoted to the ground at O. Gear 2 is carried on the arm OP via the pivot joint at P, and is in mesh with the other two gears. Gear 2 has 20 teeth and gear 3 has 80 teeth. If gear 1 is kept fixed at 0 rpm and gear 3 rotates at 900 rpm counter clockwise (ccw), the magnitude of angular velocity of arm OP is __________rpm (in integer).
![GATE ME 2022 Set 1 Theory of Machines - Gears and Gear Trains Question 3 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lzngbnfi/699d04b9-8aec-4eb5-b1ab-7ec956eb0228/0d38e0d0-56b7-11ef-ab8d-1dd6590a4c93/file-jaoe38c1lzngbnfj.png?format=png)
![GATE ME 2017 Set 2 Theory of Machines - Gears and Gear Trains Question 7 English](https://imagex.cdn.examgoal.net/5PUU8mlsO3QDjmp5T/Sj9PbY5KgX2YjtbGiTMNUnXJOQR0g/OICmQ0W1z05ybpB82kRQIW/uploadfile.jpg)
![GATE ME 2017 Set 1 Theory of Machines - Gears and Gear Trains Question 8 English](https://imagex.cdn.examgoal.net/T0JmSHUv5gu1SBLvy/l4kSkDCLoUxa6W6wrwFsfwYdQMYBg/qi5efA2tR6iitJCyZ1usbj/uploadfile.jpg)