A spur gear, with a pitch-circle diameter of 168 mm and 42 teeth, is needed for a gearbox - NSC Mechanical Technology Fitting and Machining - Question 6 - 2022 - Paper 1
Question 6
A spur gear, with a pitch-circle diameter of 168 mm and 42 teeth, is needed for a gearbox. Calculate the following:
6.1.1 Module
6.1.2 Circular pitch
6.1.3 Outside ... show full transcript
Worked Solution & Example Answer:A spur gear, with a pitch-circle diameter of 168 mm and 42 teeth, is needed for a gearbox - NSC Mechanical Technology Fitting and Machining - Question 6 - 2022 - Paper 1
Step 1
6.1.1 Module
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Answer
The module of a spur gear can be calculated using the formula:
ext{Module} = rac{ ext{Pitch Circle Diameter (PCD)}}{ ext{Number of teeth (T)}}
Substituting the provided values:
ext{Module} = rac{168 ext{ mm}}{42} = 4 ext{ mm}
Step 2
6.1.2 Circular pitch
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Answer
The circular pitch can be calculated using the formula:
extCP=extModuleimesextπ=4extmmimesextπ
Calculating this gives:
extCPhickapprox12.57extmm
Step 3
6.1.3 Outside diameter
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The outside diameter can be calculated using the formula:
