If P1 and P2 are the tight and slack side tensions in the belt, then the initial tension Pi (according to Barth) will be equal to (Where, Pc is centrifugal tension)

If P₁ and P₂ are the tight and slack side tensions in the belt, then the initial tension P_i (neglecting centrifugal tension) will be equal to (Where, P_c is centrifugal tension)

A

$${{\text{P}}_1} - {{\text{P}}_2}$$

B

$${{\text{P}}_1} + {{\text{P}}_2}$$

C

$$\frac{1}{2}\left( {{{\text{P}}_1} + {{\text{P}}_2}} \right)$$

D

$$\frac{1}{2}\left( {{{\text{P}}_1} + {{\text{P}}_2}} \right) + {{\text{P}}_{\text{c}}}$$

If T₁ and T₂ are the tensions on the tight and slack sides of the belt respectively and T_C is the centrifugal tension, then initial tension in the belt is equal to

A

T₁ - T₂ + T_C

B

T₁ + T₂ + T_C

C

$$\frac{{{{\text{T}}_1} - {{\text{T}}_2} + {{\text{T}}_{\text{C}}}}}{2}$$

D

$$\frac{{{{\text{T}}_1} + {{\text{T}}_2} + {{\text{T}}_{\text{C}}}}}{2}$$

The ratio of driving tensions for flat belts, neglecting centrifugal tension, is (where T₁ and T₂ = Tensions on the tight and slack sides of belt respectively, $$\mu $$ = Coefficient of friction, between the belt and pulley and $$\theta $$ = Angle of contact)

A

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}} = \mu \theta $$

B

$$\log \frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}} = \mu \theta $$

C

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}} = {\text{e}}\mu \theta $$

D

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}} = \log \mu \theta $$

For a flat open-belt drive, the belt speed is 880 m/min and the power transmitted is 22.5 kW. What is the difference between the tight side and slack side tensions of the belt drive?

A

900 N

B

6450 N

C

1535 N

D

1000 N

In belt drive power transmitted is given by: (Where Tt, Ts, and v are tight side tension, slack side tension and linear velocity of belt respectively)

A

$\frac{{\left( {{T_t} - {T_s}} \right)}}{{2v}}$

B

$ \frac{{\left( {{T_t} + {T_s}} \right)}}{{2v}}$

C

(T_t - T_s)v

D

(T_t + T_s)v

The tension on the slack side of the belt is __________ the tension on the tight side of the belt.

A

Equal to

B

Less than

C

Greater than

D

None of these

Power is transmitted by an electric motor to a machine by using a belt drive. The tensions on the tight and slack side of the belt are 2200 N and 1000 N respectively and diameter of the pulley is 600 mm. If speed of the motor is 1500 r.p.m, find the power transmitted.

A

46.548 kW

B

56.548 kW

C

66.548 kW

D

76.548 kW

The ratio of belt tensions $$\frac{{{{\text{p}}_1}}}{{{{\text{p}}_2}}}$$ considering centrifugal force in flat belt is given by where,
m = mass of belt per meter (kg/m)
v = belt velocity (m/s)
f = coefficient of friction
$$\alpha $$ = angle of wrap (radians)

A

$$\frac{{{{\text{p}}_1} - {\text{m}}{{\text{v}}^2}}}{{{{\text{p}}_2} - {\text{m}}{{\text{v}}^2}}} = {{\text{e}}^{{\text{f}}\alpha }}$$

B

$$\frac{{{{\text{p}}_1}}}{{{{\text{p}}_2}}} = {{\text{e}}^{{\text{f}}\alpha }}$$

C

$$\frac{{{{\text{p}}_1}}}{{{{\text{p}}_2}}} = {{\text{e}}^{ - {\text{f}}\alpha }}$$

D

$$\frac{{{{\text{p}}_1} - {\text{m}}{{\text{v}}^2}}}{{{{\text{p}}_2} - {\text{m}}{{\text{v}}^2}}} = {{\text{e}}^{ - {\text{f}}\alpha }}$$

In a band and block brake, the ratio of tensions on tight side and slack side of the band is (where $$\mu $$ = Coefficient of friction between the blocks and the drum, $$\theta $$ = Semi-angle of each block subtending at the center of drum and n = Number of blocks)

A

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}} = \mu \theta {\text{n}}$$

B

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}} = {\left( {\frac{{1 - \mu \tan \theta }}{{1 + \mu \tan \theta }}} \right)^{\text{n}}}$$

C

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}} = {\left( {\mu \theta } \right)^{\text{n}}}$$

D

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}} = {\left( {\frac{{1 + \mu \tan \theta }}{{1 - \mu \tan \theta }}} \right)^{\text{n}}}$$

According to the International Commission on Education for the Twenty-first Century headed by Jacques Delors, which of the following main tensions will be witnessed during the 21st century ? A. The tension between the global and the local B. The tension between tradition and modernity C. The tension between the spiritual and the material D. The tension between the poor and the rich E. The tension between the developed and the developing societies Choose the correct answer from the options given below:

A

A, B and C only

B

B, C and D only

C

C, D and E only

D

A, D and E only

If P₁ and P₂ are the tight and slack side tensions in the belt, then the initial tension P_i (according to Barth) will be equal to (Where, P_c is centrifugal tension)

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