Two shafts 'A' and 'B' have the same material. The shaft 'A' is solid of diameter 100 mm. The shaft 'B' is hollow with outer diameter 100 mm and inner diameter 50 mm. The torque transmitted by shaft 'B' is __________ as that of shaft 'A'.

Two shafts 'A' and 'B' are made of same material. The shaft 'A' is solid and has diameter D. The shaft 'B' is hollow with outer diameter D and inner diameter $$\frac{{\text{D}}}{2}$$. The strength of hollow shaft in torsion is _________ as that of solid shaft.

A

$$\frac{1}{{16}}$$

B

$$\frac{1}{8}$$

C

$$\frac{1}{4}$$

D

$$\frac{{15}}{{16}}$$

Hollow shafts can be made as strong as solid shafts by making the twisting moments of both the shafts same. Shafts made by __________ have residual stresses.

A

Forging

B

Cold rolling

C

Hot rolling

D

Casting

Two solid shafts 'A' and 'B' are made of the same material. The shaft 'A' is of 50 mm diameter and shaft 'B' is of 100 mm diameter. The strength of shaft 'B' is _________ as that of shaft A.

A

One-half

B

Double

C

Four times

D

Eight times

Consider two shafts connected with two gears as per the following options: 1. One on each shaft 2. Through an intermediate gear mounted on an intermediate shaft, and every shaft having one gear only 3. Through an intermediate gear mounted on an intermediate shaft, with the intermediate shaft having two gears, whereas the other shafts have one gear each Which of the above represent(s) a simple gear train?

A

1 only

B

1 and 2 only

C

2 and 3 only

D

1, 2 and 3

The torque transmitted by a hollow shaft of outer diameter (D) and inner diameter (d) is

A

$$\frac{\pi }{4} \times \tau \left( {\frac{{{{\text{D}}^2} - {{\text{d}}^2}}}{{\text{D}}}} \right)$$

B

$$\frac{\pi }{{16}} \times \tau \left( {\frac{{{{\text{D}}^3} - {{\text{d}}^3}}}{{\text{D}}}} \right)$$

C

$$\frac{\pi }{{16}} \times \tau \left( {\frac{{{{\text{D}}^4} - {{\text{d}}^4}}}{{\text{D}}}} \right)$$

D

$$\frac{\pi }{{32}} \times \tau \left( {\frac{{{{\text{D}}^4} - {{\text{d}}^4}}}{{\text{D}}}} \right)$$

The torque transmitted by a hollow shaft of outer diameter (d₁) and inner diameter (d₂) is (where, $$\tau $$ = Maximum allowable shear stress)

A

$$\frac{\pi }{4} \times \tau \times \frac{{{\text{d}}_1^4 - {\text{d}}_2^4}}{{{{\text{d}}_1}}}$$

B

$$\frac{\pi }{{16}} \times \tau \times \frac{{{\text{d}}_1^4 - {\text{d}}_2^4}}{{{{\text{d}}_1}}}$$

C

$$\frac{\pi }{{32}} \times \tau \times \frac{{{\text{d}}_1^4 - {\text{d}}_2^4}}{{{{\text{d}}_1}}}$$

D

$$\frac{\pi }{{64}} \times \tau \times \frac{{{\text{d}}_1^4 - {\text{d}}_2^4}}{{{{\text{d}}_1}}}$$

Two shafts A and B are made of the same material. The diameter of shaft A is twice as that of shaft B. The power transmitted by the shaft A will be __________ of shaft B.

A

Twice

B

Four times

C

Eight times

D

Sixteen times

A hollow sphere is melted to form small identical hollow spheres. The inner and outer radius of the bigger sphere is 4 cm and 6 cm respectively. If the inner and outer radii of the smaller sphere are 2 cm and 3 cm respectively, then how many smaller spheres can be formed?

A

4

B

8

C

6

D

12

A hollow cylinder is made up of metal. The difference between the outer and the inner curved surface area of this cylinder is 352 cm2. The height of the cylinder is 28 cm. If the total surface area of this hollow cylinder is 2640 cm2, then what are the inner and outer radii (in cm)?

A

4, 6

B

10, 12

C

8, 10

D

6, 8

Consider we have a Double Pipe Heat Exchanger, with the inner tube of Outer diameter 20mm (thickness 2mm) and outer tube of inner diameter 30mm. We have two fluids A & B, we desire to have their flow rates as 15Kg/s and 21Kg/s respectively. What is the value of Hydraulic diameter for the annulus tube?

A

20mm

B

15mm

C

25mm

D

10mm

Two shafts 'A' and 'B' have the same material. The shaft 'A' is solid of diameter 100 mm. The shaft 'B' is hollow with outer diameter 100 mm and inner diameter 50 mm. The torque transmitted by shaft 'B' is __________ as that of shaft 'A'.

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