The centre distance between two meshing spiral gears is 200 mm and the angle between the shafts 60°. The gear ratio is 2 and normal circular pitch 10 mm. The driven gear has a helix angle of 25°. Determine (a) the number of teeth on each wheel, (b) the exact centre distance, and (c) the efficiency if friction angle is 5°.
Question 14.42: The centre distance between two meshing spiral gears is 200 ...
\text { Given: } \quad C =200 mm , i=2, \Sigma=60^{\circ}, p_{n}=10 mm , \beta_{2}=25^{\circ} .
\text { (a) } \beta_{1}=60^{\circ}-25^{\circ}=35^{\circ} .
C=\left[z_{1} p_{n} /(2 \pi)\right] \times\left[1 / \cos \beta_{1}+i / \cos \beta_{2}\right] .
200=\left[\left(z_{1} \times 10\right) /(2 \pi)\right] \times\left[1 / \cos 35^{\circ}+2 / \cos 25^{\circ}\right] .
z_{1}=36.66 \cong 37 .
z_{2}=37 \times 2=74 .
d_{1}=d_{2}=z_{1} p_{n} /\left(\pi \cos \beta_{1}\right)=(24 \times 10) /\left(\pi \times \cos 53.4^{\circ}\right)=128.13 mm .
= 201.8 mm.
Related Answered Questions
\text { Given: } m_{n}=3 mm , \beta=20^{\c...
Given: z_{1}=30, z_{2}=48, m_{n}=3 mm , \...
\text { Given: } z_{1}=36, z_{2}=48, m_{n}...
Given: m=2 mm , z_{1}=24, z_{2}=48 [/la...
Given: C=500 mm , i=3, \Sigma=60^{\circ...
\text { Given: } \quad \phi=6^{\circ}, p_{...
\text { Given: } \quad \Sigma=65^{\circ}, ...
\text { Given: } \quad i=1.5, \Sigma=80^{\...