Ratio · efficiency · power chain
Multi-stage drive train
Inputs
User-entered rotational input speed for the series-stage arithmetic.
User-entered transmitted input torque; load dynamics and torque variation are excluded.
User-entered speed-reduction magnitude for the first series stage.
User-entered efficiency strictly greater than 0 through 1; it is not predicted.
User-entered speed-reduction magnitude for the second series stage; use 1 for no stage.
User-entered efficiency strictly greater than 0 through 1; it is not predicted.
User-entered speed-reduction magnitude for the third series stage; use 1 for no stage.
User-entered efficiency strictly greater than 0 through 1; it is not predicted.
Results
Declared total reduction ratio
12
—Declared total efficiency
92.16
%Literal output speed
150
Literal output torque
132.71
Literal input power
2.2619
Literal output power
2.0846
Declared-efficiency arithmetic loss
0.17734
rtotal = r1r2r3; ηtotal = η1η2η3; n2 = n1/rtotal; T2 = T1rtotalηtotal
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Calculate three-stage ratio/efficiency products with speed, torque, power, and arithmetic-loss outputs.
rtotal = r1r2r3; ηtotal = η1η2η3; n2 = n1/rtotal; T2 = T1rtotalηtotal
When
- Three declared series stages
- Constant input speed and torque
- User-entered stage ratios and efficiencies
- Ideal kinematic/power relationship
Don’t
- This multiplies user-entered series ratios and efficiencies, then applies ideal speed/torque/power relationships. It does not select a gearbox or stage configuration; predict individual loss, efficiency, backlash, stiffness, lubrication, temperature, inertia, dynamics, rating, reliability, safety, suitability, or approval.