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Gears & V E X. J.M. Gabrielse. Agenda. Essential Terminology Gear Types Direction Gearing Up / Gearing Down Gear Ratios Examples. gear testing apparatus. Essential Terminology. Driver – gear attached to a motor Follower – gear doing useful work - PowerPoint PPT Presentation
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J.M. Gabrielse
Gears & VEX
J.M. Gabrielse
J.M. Gabrielse
Agenda
• Essential Terminology• Gear Types• Direction• Gearing Up/Gearing Down• Gear Ratios• Examples
gear testing apparatus
J.M. Gabrielse
Essential Terminology
• Driver – gear attached to a motor
• Follower – gear doing useful work
• Idler – gear between the driver and follower
• Geared Up – the follower moves faster than the driver
• Geared Down – the follower moves slower than the
driver
J.M. Gabrielse
Do you get it?
• Which gear is the driver (A or B)?
• Which gear is the follower (A or B)?
A B
motor
J.M. Gabrielse
Do you get it?
• Which gear is the driver (A or B)? → A
• Which gear is the follower (A or B)? → B
A B
motor
driver follower
J.M. Gabrielse
Do you get it?
• Which gear is the follower (A, B, or C)?• Which gear is the driver (A, B, or C)? • Which gear is the idler (A, B, or C)?
A B C
motorwheel
J.M. Gabrielse
Do you get it?
• Which gear is the follower (A, B, or C)? → C• Which gear is the driver (A, B, or C)? → A• Which gear is the idler (A, B, or C)? → B
A B C
motorwheel
J.M. Gabrielse
Gear Types
spur gears
differential bevel gears rack & pinion worm gear
X - not used by the Summer STEM Academy
J.M. Gabrielse
Spur Gears
84 tooth
60 tooth
36 tooth
24 tooth
12 tooth
The number of teeth on each spur gear is a multiple of 12.
12 = 1 x 12, 36 = 3 x 12, 60 = 5 x 12, 80 = 7 x 12
X - only works with the worm gear
J.M. Gabrielse
Rack & Pinion
rack
pinion
Racks and pinions are used to translate rotational motion into linear motion.
J.M. Gabrielse
Direction
• every time you add a gear the direction reverses
• even number of gears: driver & follower turn in opposite directions
• odd number of gears:driver & follower turn in same direction
driver
driver
driver
follower
follower
follower
J.M. Gabrielse
Did you get it?
driver
Would the follower gear move clockwise or counterclockwise?
J.M. Gabrielse
Did you get it?
driver
Would the follower gear move clockwise or counterclockwise?
J.M. Gabrielse
Did you get it?
driver
Would the follower gear move clockwise or counterclockwise?
J.M. Gabrielse
Did you get it?
driver
Would the follower gear move clockwise or counterclockwise?
J.M. Gabrielse
Geared Up
• large driver turns small follower
• less torque (turning force)
• more speed
driven gear follower gear
follower
driver
J.M. Gabrielse
Geared Down
• small driver turns large follower
• more torque (turning force)
• less speed
driven gear follower gear
follower
driver
J.M. Gabrielse
Gear Analysis
To analyze any gear train you need to:
1. Find the number of driver teeth
2. Find the number of follower teeth
3. thdriver tee
eethfollower t ratiogear
J.M. Gabrielse
Example
Gear Analysis1. follower teeth: 362. driver teeth: 12
3.
– 3/1 or 3:1 – read as 3 to 1– 3 turns of the driver will turn the follower 1 time
12 tooth driver 36 tooth follower
1
3
12
36
thdriver tee
eethfollower t ratiogear
J.M. Gabrielse
What is the gear ratio?
84 tooth driver
60 tooth follower
84 tooth driver
60 tooth follower
J.M. Gabrielse
What is the gear ratio?
7
5
teeth84
teeth60
thdriver tee
eethfollower t ratiogear
84 tooth driver
60 tooth follower
J.M. Gabrielse
Your Turn
What is the gear ratio of the Protobot?
60 tooth gear
60 tooth gear
J.M. Gabrielse
Your Turn
What is the gear ratio of the Protobot?
60 tooth gear
60 tooth gear
Gear Analysis1. follower teeth: 602. driver teeth: 60
3. 1
1
60
60 ratiogear
J.M. Gabrielse
Thanks/Resources
• Inventor’s Guide: 3·19 - 3·13
• Teaching Gear Theory to Students
• CMU's Vex Curriculum: Gearbox Lesson
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