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One tooth of a gear having 4 module and 32 teeth is shown in the figure. Assume that the gear tooth and the corresponding tooth space make equal intercepts on the pitch circumference. The dimensions a and b, respectively, are closest to.
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- 6.08 mm, 4 mm
- 6.48 mm, 4.2 mm
- 6.28 mm, 4.3 mm
- 6.28 mm, 4.1 mm
Correct Option: D
| a ≃ | .....(D = mZ) | |
| 2Z |
| a ≃ | = 6.28 | |
| 2 |
⇒ b = addendum + PR
The addendum = module for standard addendum
| Now φ = | = 2.8° | |
| 32 × 4 |
∴ OP = 64 cosφ = 63.9
⇒ b = m + PR = 4 + (64 – 63.9)
= 4.1 mm
