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While determining the forces acting on the teeth of each of the gears requires using Newton's 2nd Law, the calculation of these forces is.
Output torque, speed and horsepower when using gears
Gear Output Torque
M
o
= M
i
r μ (1)
where
M
o
= output torque (Nm, lb
f
ft)
M
i
= input torque
(Nm, lb
f
ft)
r = gear transmission ratio
μ
= gear efficiency (%)
Example - Geear Output Torque
The output torque from a transmission with input torque
500 Nm
, gear transmission ratio
3.8
and gear efficiency
0.9
- can be calculated as
M
o
= (500 Nm) (3.8) (0.9)
=
1710
Nm
Gear Output Speed
S
o
= S
i
/ r (2)
where
S
o
= output speed (rad/s, rpm)
S
i
= in
put speed (
rad/s,
rpm)
Example - Gear Output Speed
The output speed of a transmission with input speed
2000 rpm
and transmission ratio
3.8
can be calculated as
S
o
= (2000 rpm) / (3.8)
=
526
rpm
Gear Output Horsepower
P
o
= P
i
μ
(3)
where
P
o
= output horsepower (W, hp)
P
i
= in
put horsepower (W, hp)
Example - Gear Output Power
The output power from a transmission with input power
300 kW
and efficiency
0.9
can be calculated as
P
o
= (300 kW)
(0.9)
=
270
kW
Related Topics
Mechanics
- Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more
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Tag Search
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