For a Board Exam Review:
A triple thread worm has a diameter of 3 inches. The wheel has 25 teeth and a pitch diameter of 5 inches. Material for both the worm and the wheel is of phosphor Bronze. Compute the Helix Angle
Answer is 0.2
Helix Angle can be obtained by trigonometry:
$${ \tan(H) = \frac{\pi \times D_{worm}}{L} }$$ $${ L = N_t * P_a }$$
Where L is the lead, N is the number of threads and P is the Axial Pitch.
$${ L = 3threads * 3in }$$
Well thats where I stopped. I don't know how to find the diameter of the worm gear without it being explicitly given to me. I tried other formulas but they were more of the diameter of the wheel instead of the gear. Is there a formula for solving the diameter of the gear?