How to connect horizontal rail & pinion system to a vertical cylindrical cam?

[ebo1402]

Hi,
I've a motor connected to a pinion and rail system. The rail moves horizontally and slowly (1 mm/minute). I want to connect the rail to a vertical cylindrical cam so that the cam completes one cycle up and down (a distant of 20 cm) in every step of the rail. Is there any graphical explanation to this system? How to make such a system? What equation controls speed of motor, gear size?

 

[mfgenggear]

 

[mfgenggear]

I would use a simple gear program to verify
the above with rack and pinion calculation.
for more in depth I would recommend, dudley, shigley, and others.

 

[mfgenggear]

AI Overview




According to Shigley's Mechanical Engineering Design, the formula to calculate the rack and pinion steering ratio is: "Steering Ratio = (2 * π * Pinion Radius) / (Number of Teeth on Rack)"; essentially, this means the ratio of the circumference of the pinion gear to the distance between teeth on the rack, which determines how much the wheels turn for each rotation of the steering wheel.

Key points about the formula:

• Pinion Radius: The radius of the pinion gear.
  
  
• Number of Teeth on Rack: The total number of teeth along the length of the rack.
  

Important considerations:

• Pressure Angle:
  The angle between the tooth profile and the line connecting the pitch points of the teeth, which affects the gear design and can be included in more complex calculations.
• Diametral Pitch:
  A measure of the tooth size, which can be used to determine the number of teeth on the pinion gear based on its diameter.

 

[dvd]

Put together a sketch of what you are trying to accomplish so that others can think like you are seeing it. List how much torque/force you need to transmit - it is the most realistic way to size the gears. There are a lot of options here and your vague question turns the exercise into a game of twenty questions.