For the gear train shown in the figure. Planet gears 3, 4, and 5 are rigidly connected to a common concentric shaft and turn at the same rotational speed, w3 = W4 = w5. Gear 1 is connected to the input, gear 7 is connected to the output, and gear 6 is fixed. The planet carrier component 2 is connected to neither an input nor an output. a) the speed of gear 7 if the speed of gearl is 30 RPM. b) The ratio between the input and the output. N₁ = 10, N3 = 24, N₁ = 12, N₁ = 12, No = 20, N₁ = 30 Component → Operation ↓ all components turn at x rpm Crank is fixed. Gear 6 turns at y rpm Absolute rotational speeds Fixed Input Gear 1 W1 N3N6 N₁N₁ x- y N3N6 N₁N₁ 2 y 7 Gear 6 W6 5 x y x+y Gear 7 W7 x+ W7 N5N6 NAN y N5N6 N₂N₂ Output y

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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For the gear train shown in the figure. Planet gears 3, 4, and 5 are rigidly connected to a common
concentric shaft and turn at the same rotational speed, w3 = W4 = w5. Gear 1 is connected to the input,
gear 7 is connected to the output, and gear 6 is fixed. The planet carrier component is connected to
neither an input nor an output.
a) the speed of gear 7 if the speed of gearl is 30 RPM.
b) The ratio between the input and the output.
N₁ = 10, N3 = 24, N₁ = 12, N₁
=
Component
Operation ↓
all components turn at x rpm
Crank is fixed. Gear 6 turns at
y rpm
Absolute rotational speeds
@1
Fixed
Input
12, №₁ = 20, N₂
Gear 1
W1
N3N6
N₁NY
x-
N3N6
N₁N₁
2
1
y
= 30
Gear 6
W6
y
x+y
W7
Gear 7
N5N6
N₂N₂
N5N6
N₂N₂
Output
y
Transcribed Image Text:For the gear train shown in the figure. Planet gears 3, 4, and 5 are rigidly connected to a common concentric shaft and turn at the same rotational speed, w3 = W4 = w5. Gear 1 is connected to the input, gear 7 is connected to the output, and gear 6 is fixed. The planet carrier component is connected to neither an input nor an output. a) the speed of gear 7 if the speed of gearl is 30 RPM. b) The ratio between the input and the output. N₁ = 10, N3 = 24, N₁ = 12, N₁ = Component Operation ↓ all components turn at x rpm Crank is fixed. Gear 6 turns at y rpm Absolute rotational speeds @1 Fixed Input 12, №₁ = 20, N₂ Gear 1 W1 N3N6 N₁NY x- N3N6 N₁N₁ 2 1 y = 30 Gear 6 W6 y x+y W7 Gear 7 N5N6 N₂N₂ N5N6 N₂N₂ Output y
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