Calculate the pitch circle diameter of the driving pulley is pitch is given as 18mm and sprocket has 19 teeth.

Driving and driven pulleys are rotating at 1000rpm and 500rpm. If number of teeth on driving sprocket are 20, find number of teeth in the driven sprocket.

A

41

B

40

C

10

D

11

The relation between the pitch of the chain (p) and pitch circle diameter of the sprocket (D) is given by (where T = Number of teeth on the sprocket)

A

$${\text{p}} = {\text{D}}\sin \frac{{{{90}^ \circ }}}{{\text{T}}}$$

B

$${\text{p}} = {\text{D}}\sin \frac{{{{120}^ \circ }}}{{\text{T}}}$$

C

$${\text{p}} = {\text{D}}\sin \frac{{{{180}^ \circ }}}{{\text{T}}}$$

D

$${\text{p}} = {\text{D}}\sin \frac{{{{360}^ \circ }}}{{\text{T}}}$$

The driving sprocket has 19 teeth and rotates at 1100rpm. The pitch of the chain is 18mm. Calculate the velocity of the chain.

A

5.6m/s

B

6.3m/s

C

5.8m/s

D

5.1m/s

The layout of a shaft supported on bearings at A & B is shown. Power is supplied by means of a vertical belt on pulley B which is then transmitted to pulley C carrying a horizontal belt. The angle of wrap is 180’ and coefficient of friction is 0.3. Maximum permissible tension in the rope is 3kN. The radius of pulley at B & C is 300mm and 150mm. Calculate the tension in the rope of pulley C.

A

6778.3N and 7765.3N

B

5948.15N and 2288.75N

C

5468.4N ad 8678.3N

D

None of the listed

If the angle of wrap on smaller pulley of diameter 250 mm is 1200 and diameter of larger pulley is twice the diameter of smaller pulley, then the centre distance between the pulleys for an open belt drive is

A

1000 mm

B

750 mm

C

500 mm

D

250 mm

Which of the following statements is/are true? A: If a circle is formed from a wire, which was initially in the shape of a semi-circle, then ratio of radius of circle and that of semi-circle will be 7: 11. B: If in a semi-circle of radius ‘r’, another semi-circle of radius ‘4r/5’ is drawn, then area of the remaining part of larger semi-circle will be ‘3πr2/5’. C: In a circle of radius ‘r’, if ‘O’ is the center of circle and radii OA and OB are at the angle of 45°, then the length of major arc AB will be ‘7πr/8’.

A

Only A

B

Only B

C

Only C

D

None

Match List-I with List-II and select the correct answer using the codes given below: List-I (Animal) List-II (Teeth) (a) Cow (i) sharp curved teeth (b) Cat (ii) short front teeth (c) Snake (iii) continuously growing front teeth (d) Squirrel (iv) sharp teeth

A

(a) - (iii), (b) - (iv), (c) -(i), (d) - (ii)

B

(a) - (i), (b) - (ii), (c) -(iv), (d) - (iii)

C

(a) - (ii), (b) - (iii), (c) -(iv), (d) - (i)

D

(a) - (ii), (b) - (iv), (c) -(i), (d) - (iii)

The layout of a shaft supported on bearings at A & B is shown. Power is supplied by means of a vertical belt on pulley B which is then transmitted to pulley C carrying a horizontal belt. The angle of wrap is 180’ and coefficient of friction is 0.3. Maximum permissible tension in the rope is 3kN. The radius of pulley at B & C is 300mm and 150mm. If allowable shear stress in the shaft is 70N/mm² and torsional and bending moments are M=1185000N-mm and m=330000N-mm, find the diameter of the shaft.

A

36.8mm

B

39.7mm

C

44.7mm

D

40.3mm

Circle A is 4 cm in diameter; circle B is 5 cm in diameter, Circle C has its circumference equal to the sum of the circumferences of both A and B together, What will be the ratio of the area of circle C, with respect to the area of circle A and circle B respectively?

A

5.0625 and 1.84

B

3.875 and 1.84

C

5.0625 and 3.24

D

3.875 and 3.24

A certain dentist specializes in implanting gold and silver teeth in his patients mouths .He charges $ 650 for a gold tooth an $ 325. for a silver tooth. If his told fees for implanting gold and silver teeth last week were $ 15, 925 in total and he implanted five more gold teeth that silver teeth, how many teeth in total did he implant over the week?

A

33

B

32

C

31

D

34

Calculate the pitch circle diameter of the driving pulley is pitch is given as 18mm and sprocket has 19 teeth.

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