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A 3D printer uses a belt-driven system with a stepper motor that has 1.8 degrees per step. If the pulley has 20 teeth and the belt pitch is 2 mm, how far does the print head move per step?

hard📝 Application Q9 of 15
3D Printing - 3D Printer Hardware
A 3D printer uses a belt-driven system with a stepper motor that has 1.8 degrees per step. If the pulley has 20 teeth and the belt pitch is 2 mm, how far does the print head move per step?
A0.2 mm
B0.36 mm
C0.18 mm
D0.72 mm
Step-by-Step Solution
Solution:
  1. Step 1: Calculate pulley circumference

    Pulley circumference = number of teeth x belt pitch = 20 x 2 mm = 40 mm.
  2. Step 2: Calculate steps per revolution

    One step is 1.8 degrees, so steps per revolution = 360 / 1.8 = 200 steps.
  3. Step 3: Calculate movement per step

    Distance per step = 40 mm / 200 steps = 0.2 mm per step.
  4. Final Answer:

    0.2 mm -> Option A
  5. Quick Check:

    Movement per step = Pulley circumference ÷ steps = 0.2 mm [OK]
Quick Trick: Movement per step = (teeth x pitch) ÷ steps per revolution [OK]
Common Mistakes:
MISTAKES
  • Confusing teeth count with steps
  • Forgetting to divide circumference by steps
  • Mixing units or pitch values

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