Final answer:
To find the pitch diameter, circular pitch, base circle diameter, addendum, dedendum, and outside diameter of a 20° pressure angle 47 tooth spur gear with a diametral pitch of 16, you can use the given formulas. Using these formulas, the values for the pitch diameter, circular pitch, base circle diameter, addendum, dedendum, and outside diameter can be calculated as approximately 2.9375 inches, 0.588 inches, 2.754 inches, 0.0625 inches, 0.0625 inches, and 3.0625 inches, respectively.
Step-by-step explanation:
In order to determine the pitch diameter, circular pitch, base circle diameter, addendum, dedendum, and outside diameter of a spur gear, we can use the following formulas:
- Pitch Diameter = Number of Teeth / Diametral Pitch
- Circular Pitch = π * Pitch Diameter / Number of Teeth
- Base Circle Diameter = Pitch Diameter * cos(Pressure Angle)
- Addendum = 1 / Diametral Pitch
- Dedendum = Addendum (Depends on gear type)
- Outside Diameter = Pitch Diameter + 2 * Addendum (for spur gears)
Using the given values, we can calculate:
- Pitch Diameter = 47 / 16 = 2.9375 inches
- Circular Pitch = π * 2.9375 / 47 ≈ 0.588 inches
- Base Circle Diameter = 2.9375 * cos(20°) ≈ 2.754 inches
- Addendum = 1 / 16 ≈ 0.0625 inches
- Dedendum (usually equal to addendum) ≈ 0.0625 inches
- Outside Diameter = 2.9375 + 2 * 0.0625 = 3.0625 inches