1
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershafts which is parallel to the input and output shafts has a gear (Z2 teeth) and pinion (Z3 = 15 teeth) to mesh with pinion (Z1 = 16 teeth) on the input shafts and gear (Z4 teeth) on the output shafts respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.

Z2 and Z4 are

A
64 and 45
B
45 and 64
C
48 and 60
D
60 and 48
2
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershafts which is parallel to the input and output shafts has a gear (Z2 teeth) and pinion (Z3 = 15 teeth) to mesh with pinion (Z1 = 16 teeth) on the input shafts and gear (Z4 teeth) on the output shafts respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.

The centre distance in the second stage is

A
90 mm
B
120 mm
C
160 mm
D
240 mm
3
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
For a certain engine having an average speed of $$1200$$ rpm, a flywheel approximated as a solid disc, is required for keeping the fluctuation of speed within $$2$$% about the average speed. The fluctuation of kinetic energy per cycle is found to be $$2$$kJ. What is the least possible mass of the flywheel if its diameter is not exceed $$1$$ m?
A
$$40$$ kg
B
$$51$$ kg
C
$$62$$ kg
D
$$73$$ kg
4
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
A flexible rotor-shaft system comprises of a $$10kg$$ rotor disc placed in the middle of a mass-less shaft of diameter $$30$$ $$mm$$ and length $$500mm$$ between bearings (shaft is being taken mass-less as the equivalent mass of the shaft is included in the rotor mass) mounted at the ends. The bearings are assumed to simulate simply supported boundary conditions. The shaft is made of steel for which the value of $$E$$ is $$\,2.1\, \times \,{10^{11}}\,$$. Pa. What is the critical speed of rotation of the shaft?
A
$$60$$ $$Hz$$
B
$$90$$ $$Hz$$
C
$$135$$ $$Hz$$
D
$$180$$ $$Hz$$
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