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Engineering - Formulas
Unknown
Where
Formula
Horsepower
hp = horsepower
T
d
= design torque (oz-in)
rpm = motor speed (rev/min)
hp = T
d
x rpm / 1.0084 x 10
6
Power
PW = power(kw)
hp = horsepower
PW = 0.7457 x hp
Center Distance (using same size pulleys for driveR and driveN)
CD = center distance (in)
P = pitch (in)
N
B
= number of teeth on belt
N
P
= number of teeth on pulley
CD = P x (N
B
- N
p
) / 2
Center Distance (using unequal size pulleys for driveR and driveN)
CD = center distance (in)
PL = belt pitch length (in)
D = large pulley pitch dia. (in)
d = small pulley pitch dia. (in)
CD = b + √b
2
- [8 x (D - d)
2
]/8
b = (2 x PL) - [Π x (D + d)]
Belt Pitch Length
PL = belt pitch length (in)
CD = center distance (in)
D = large pulley pitch dia. (in)
d = small pulley pitch dia. (in)
PL=(2 x CD) + [ 1.57 x (D + d)]
+ (D - d)
2
/ (4 x CD)
Belt Speed
V = belt speed (in/sec)
D
r
= pitch diameter of driveR pulley
rpm = speed of driveR
V = D
r
x π x rpm / 60
Arc of Contact (smaller pulley)
∅ = arc of contact (°)
PL = belt pitch length (in)
P = tooth pitch (in)
CD = center distance (in)
∅ = 180 - 57.3 x (D - d) / CD
Effective Tension
T
e
= effective tension (lb)
T
d
= design torque (oz-in)
r = pulley radius (in)
Te = T
d
/ (16 x r)
Design Torque
T
d
= design torque (oz-in)
T
pk
= peak torque (oz-in)
T
d
= T
pk
/ T.I.M. Factor