# An exhaust fan systems consists of 4 parallel v-belts wrapped around driver pulleys A and driven pulley B with a diameter of 100 mm and 240 mm respectively.

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

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

(ii) Calculate the tension distributed by centrifugal forces in one 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