The angular velocity of the pinion is 40 rad/s and that of the gear is 12 rad/s. The path of recess is equal to 16 mm. Find the velocity of sliding at the end of the contact.

The angular velocity of the pinion is 100 rpm and that of the gear is 30 rpm. The path of recess is equal to 50 mm and the path of contact = 100 mm. Find the velocity of sliding at the beginning of the contact.

A

1033.29 mm/s

B

902.93 mm/s

C

394.02 mm/s

D

680.58 mm/s

Two involute gears in a mesh have path of approach = 29.83 mm and path of recess = 21.09 mm. The larger gear has 40 teeth and the pinion has 12 teeth. Find the ratio of the sliding to rolling velocity at the: i) beginning of contact ii) end of contact iii) pitch point r = 72 mm

A

0.38, 0.54, 0

B

0.54, 0.38, 0

C

0.24, 0.63, 0

D

0.63, 0.24, 0

The angular velocity of the pinion is 75 rpm and that of the gear is 25 rpm. The addendum radius is 45 mm for the pinion and the radius of the pinion is 40 mm. The pressure angle between the gears is 25°. Find the velocity of sliding at the end of the contact.

A

89.92 mm/s

B

91.01 mm/s

C

94.29 mm/s

D

97.77 mm/s

The angular velocity of the pinion is 150 rpm and that of the gear is 75 rpm. The number of teeth on the pinion is equal to 20 and the module = 6 mm. The value of addendum is equal to 1 module. The pressure angle between the two gears is 20°. Find the velocity of sliding at the end of the contact.

A

591.29 mm/s

B

601.12 mm/s

C

324.87mm/s

D

512.02 mm/s

The velocity ratio between pinion and gear in a gear drive is 2.3, the module of teeth is 2.0 mm and sum of number of teeth on pinion and gear is 99. What is the centre distance between pinion and the gear?

A

49.5 mm

B

99 mm

C

148.5 mm

D

198 mm

The angular velocity of the pinion is 200 rpm and that of the gear is 50 rpm. The maximum addendum radius of the larger wheel is 85 mm and the radius of the gear is equal to 75 mm. The pressure angle between the gears is equal to 30°. Find the velocity of sliding at the beginning of the contact.

A

1289.129 mm/s

B

732.324 mm/s

C

453.681 mm/s

D

239.238 mm/s

When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel and $$\varphi $$ = Pressure angle)

A

$$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\cos \varphi }}{2}$$

B

$$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\sin \varphi }}{2}$$

C

$$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\cos \varphi }}{2}$$

D

$$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\sin \varphi }}{2}$$

The angular velocity of the pinion is 25 rad/s and that of the gear is 10 rad/s. The path of approach is equal to 15 mm. Find the velocity of sliding at the beginning of contact.

A

394 mm/s

B

525 mm/s

C

134 mm/s

D

348 mm/s

A gear train consist of spur gear as shown. Gear A receives 4kW of power at 750rpm through its shaft and rotates in CW direction. A gear train consist of spur gear as shown. Gear A receives 4kW of power at 750rpm through its shaft and rotates in CW direction. Calculate the torque on the gear C if number of teeth on gear A, B and C are 40, 70 and 30.

A

66N-m

B

68N-m

C

53N-m

D

45N-m

The angular velocity of the pinion is 325 rpm and that of the gear is 155 rpm. The number of teeth on the larger wheel is 60 and the module is equal to 7 mm. Addendum is 1.1 times the module. The pressure angle is 20°. Find the velocity of sliding at the beginning of the contact.

A

1010.858 mm/s

B

1317.858 mm/s

C

1217.858 mm/s

D

1117.858 mm/s

The angular velocity of the pinion is 40 rad/s and that of the gear is 12 rad/s. The path of recess is equal to 16 mm. Find the velocity of sliding at the end of the contact.

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