# Machine Design Questions and Answers – Terminology of Bevel Gears

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This set of Machine Design Multiple Choice Questions & Answers (MCQs) focuses on “Terminology of Bevel gears”.

1. If pitch angle and addendum angles are 5⁰ and 12⁰ respectively, then face angle is equal to?
a) 17⁰
b) 7⁰
c) 5⁰
d) 12⁰

Explanation: Face angle=pitch angle+ addendum angle.

2. If pitch angle is 8⁰ and dedendum angle is 4⁰, then find root angle.
a) 12⁰
b) 4⁰
c) 8⁰
d) None of the listed

Explanation: Root angle=pitch angle-dedendum angle.

3. If back cone distance is 12mm and module at large end of the tooth is 4mm, then formative number of teeth will be?
a) 3
b) 6
c) 4
d) 12

Explanation: Formative number=2r/m.
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4. If back cone distance is 12mm and module at large end of the tooth is 4mm, and virtual number of teeth is 12 then find the diameter of the tooth.
a) 5
b) 4
c) 3
d) 2

Explanation: 12/z = 2×12/4.

5. Calculate the cone distance of in a pair of bevel gears if pitch circle diameter of pinion and gear are 20mm and 24mm respectively.
a) 44mm
b) 22mm
c) 15.6mm
d) 20.2mm

Explanation: A=√(20/2)²+(24/2)².

6. Calculate the pitch angle if pitch circle diameter of the pinion and gear are 150mm and 210mm.
a) 28.14⁰
b) 35.54⁰
c) 36.22⁰
d) 63.22⁰

Explanation: tanϒ=D(p)/D(g)=150/210.

7. Calculate the radius of pinion at midpoint along the face width if PCD of pinion is 150mm and of gear is 210mm. Also face width of the tooth is 35mm.
a) 56.35mm
b) 64.83mm
c) 66.57mm
d) 58.69mm

Explanation: r=(Dp/2)-(bsinϒ/2).

8. Calculate the tangential component of gear tooth force if power transmitted is 6kW and diameters of pinion and gear are 150mm and 210 mm with face width of tooth being 35mm. Power is transmitted at 3000rpm.
a) 1668N
b) 2946N
c) 3000N
d) 3326N

Explanation: P=M/r. r=(Dp/2)-(bsinϒ/2) where ϒ is ptch angle and is calculated by tanϒ=D(p)/D(g)=150/210.

9. Calculate the radial component of gear tooth force if power transmitted is 6kW and diameters of pinion and gear are 150mm and 210 mm with face width of tooth being 35mm. Power is transmitted at 3000rpm. Also pressure angle is 20⁰.
a) 996.6N
b) 332.6N
c) 489.2N
d) 739.2N

Explanation: P radial=P tangential x[tan20 Cos ϒ].

10. Calculate the axial component of gear tooth force if power transmitted is 6kW and diameters of pinion and gear are 150mm and 210 mm with face width of tooth being 35mm. Power is transmitted at 3000rpm. Also pressure angle is 20⁰.
a) 660.05N
b) 528.06N
c) 448.21N
d) 886.6N

Explanation: P radial=P tangential x[tan20 Sin ϒ].

11. The pinion of a face gear is a
a) Spur gear
b) Helical gear
c) Either spur or helical
d) None of the mentioned