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An exhaust fan systems consists of 4 parallel v-belts wrapped around driver pulleys A and driven...

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Mechanical Engineering

An exhaust fan systems consists of 4 parallel v-belts wrappedaround driver pulleys A and driven pulley B with a diameter of 100mm and 240 mm respectively. Coefficient of friction, μ between beltand pulleys is known as 0.25. Pulley groove, α has been design atan angle of 60°. The maximum permissible tension is 3860 N,cross-sectional area of the belt is A = 160 mm2 and density ofbelt’s material ρ = 1000 kg/m3. If the driver pulley A and drivenpulley B rotates at a speed of 1800 RPM and 700 RPM individuallydue to slippages.

(i) Find the angle of contact of pulley A, given the pulleycentre to centre distance is 1000 mm.

(ii) Calculate the tension distributed by centrifugal forces inone V-belt.

(iii) Deduce total power transmitted by the driver pulley A.

(iv) Deduce total power received by the driven pulley B.

(v) Find the belt slip percentage at pulley B

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