evaluate power transmitted by belt sol let t1

Question

Evaluate power transmitted by belt. 

Sol: Let T₁  = Tension in tight side of the belt

T₂ = Tension in slack side of the belt

V = Velocity of belt in m/sec. 

= Π DN/60 m/sec, D is in meter and N is in RPM P = Maximum power transmitted by belt drive

The effective tension or force acting at circumference of driven pulley is difference between the two tensions (that is T₁ - T₂)

Effective driving force = (T₁-T₂)

Work done per second = Force X Velocity = F X V N.m

= (T₁-T₂)X V N.m Power Transmitted  = (T₁-T₂).V/1000 Kw

(Here T₁  and T₂  are in Newton and V is in m/sec)

Note:

1. Torque exerted on driving pulley = (T₁-T₂).R₁

Where R₁  = radius of driving pulley

2. Torque exerted on driven pulley   = (T₁-T₂).R₂

Where R₂  = radius of driven pulley