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Belts - Length and Speed of Belt

Length and speed of belt, belt gearing

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Belts are used to transfer power through rotational motion from one shaft to an other. Belt driven fans are common in heating, ventilation and cooling systems.

Belt Length

belt length fan motor

The length of the belt can be calculated as

lb = ((df + dm) 1.5708 ) + (2 lfm)                ? (1)

where

lb = length of belt (mm, inches)

df = pulley (sheave) diameter fan (mm, inches)

dm = pulley (sheave) diameter motor (mm, inches)

lfm = center to center distance of fan and motor pulleys (mm, inches)

df  - pulley (sheave) diameter fan (mm, inches)

dm - pulley (sheave) diameter motor (mm, inches)

lfm - center to center distance of fan and motor pulleys (mm, inches)

Belt Velocity

The velocity at which a belt travels may be expressed as

v = π dm nm / 12                 (2)

where

v = velocity of belt (ft/min)

nm = velocity motor (rpm)

Belt Gearing

The relationship between the speed of the motor, the fan and their disc diameters can be expressed as

df? nf = dm nm                 (3)

Horsepower

If belt tension and belt velocity are known - horsepower transferred can be calculated as

Php = T v / 33000               (4)

where

Php = power (hp)

T = belt tension (lbf)

v = velocity of belt (ft/min)

If torque and revolution per minute are known - horsepower transferred can be calculated as

Php = M R / 63000               (4)

where

Php = power (hp)

M = torque (lbf)

R = revolutions per minute (rpm)

Speed Ratio

Speed ratio can be calculated as

SR = Rf / Rs            (5)

where

SR = speed ratio

Rf = revolutions per minute - fastest machine

Rs = revolutions per minute - slowest machine

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Related Topics

  • Ventilation Systems for ventilation and air handling - air change rates, ducts and pressure drops, charts and diagrams and more
  • Mechanics Kinematics, forces, vectors, motion, momentum, energy and the dynamics of objects

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