Torque
Gear Ratio
Velocity (RPM)
Concepts
100
With a gear ratio of 1/2 and input torque of 20 N*m
What's the output torque?
1/2 = x/20
x = 1/2 * 20 = 10 N*m
100
If A is the driver and has 36 teeth and B has 9 teeth, whats the gear ratio?
9/36 = 1/4
100
With a gear ratio of 5 and output velocity of 50 rpm
What's the input velocity?
5 = x/50
x = 50 * 5 = 250 RPM
100
What's the gear in the middle called?
200
With a gear ratio of 8 and input torque of 100 N*m
What's the output torque?
8 = x/100
x = 8 * 100 = 800 N*m
200
If A is the driver and has 36 teeth, B has 9 teeth, and C has 72 teeth what's the gear ratio of the gear train?
9/36 * 72/9 =2
72/36 = 2
200
With a gear ratio of 1/6 and output velocity of 72 rpm
What's the input velocity?
1/6 = x/72
x = 72 * 1/6 = 9 RPM
200
If two gears are meshed together which will the larger gear or smaller gear rotate slower?
The larger gear!
More teeth makes them have to complete more rotations.
300
With a gear ratio of 5 and output torque of 75 N*m
What's the input torque?
4 = 75/x
x = 75/5 = 15 N*m
300
Blue: n = 12, Gray: n =24, Yellow: n = 48
If the blue gear is the driver, what's the Gear Ratio of this simple gear train?
24/12 * 48/24 = 4
48/12 = 4
300
With a gear ratio of 1/2 and input velocity of 200 rpm
What's the output velocity?
1/2 = 200/x
x = 200*2 = 400 RPM
300
If Gear A is turning counter-clockwise, which direction is Gear C turning?
Counter- Clockwise
400
Gear A (driver) has 20 teeth, Gear B (idler, middle) has 40 teeth, Gear C (output) has 80 teeth.
Input torque applied to Gear A is 50 N*m
Whats the torque at Gear C?
Find the Gear Ratio first:
80/20=4
Then solve for Output Torque
4 = (Tout)/50
Tout = 50 * 4 = 200 N.m
400
Red: n = 12, Blue: 48
Yellow: n = 14, Green: 28
If Red is the driver, what's the Gear Ratio of the system?
48/12 * 28/14 = 8
400
Red: n = 12, Blue: 60
Yellow: n = 18, Green: 36
If Red is the driver, and has an input torque of 40 N*m, whats the output torque?
Find the Gear Ratio first:
60/12 * 36/18 = 10
Then find the output torque
10 = x/40
x = 40*10 = 400
400
If two gears are meshed together which will the larger gear or smaller gear have less torque?
The smaller gear!
Torque is when force multiplied by the radius. Smaller radius, less torque