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1. Speed Constant
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Kv = RPM/V
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2. Torque Constant
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Kt = /Kv = in-oz/A
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This for ALL motors.
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3. Thermal Resistance
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Rm = Ohms
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4. No Load Current
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Io = A = Amps
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Horse Power = HP = 550lbs./ft./sec.
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Foot Pounds per Second
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Torque = T = ft.*lbs./in.
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Force * Radius
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Torque = T = Kt*A
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Current Constant * Amps
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Torque = T = Kt*Inet
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RPM
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RPM = Kv*V
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Motor Resistance
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Vm = Vin - Im * Rm
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Stall Current
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Istall = Vin / Rm
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Restricting Motor Turn
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Heat @ Istall
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Histall = Vin * Istall = Vin/Rm
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Hysteresis Loss
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HL =
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Shunting Loss
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Inet = Iin - Io
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Friction Loss
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FL = HL
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Power IN
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Pin = Vin * Iin
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Watts = Volts * Amps
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Power OUT
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Pout = (Iin - Io) * (Vin -Iin * Rm)
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Torque * RPM = Kt * Kv
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Efficiency
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Eff = (Iin-Io)*(Vin-Iin*Rm)/Vin*Iin
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Eff is 0 @ No Load Stall
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Best Efficiency
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IMaxeff = Sqrt(Io*Istall)
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about 80% Efficiency
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Max% = ((Imaxeff-Io)/Imaxeff))^2
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a little nfo borrowed from:
Electric Motors: Introduction to Electric Motor Design Engineering
Electric Motors - Power rating:
Electric motors offer the horsepower required to drive a machine, which is typically referred to as electric motor load. The most common equation for power based electric motors on torque and rotational speed is: hp = (torque X rpm)/5,250.
If the electric motor's load is not constant and follows a definite cycle, a horsepower versus time curve for the driven machine is helpful. From this curve both peak and rms the electric motor's horsepower can be determined. Rms load horsepower indicates the necessary continuous electric motor rating. Peak load horsepower is not necessarily an indication of the required electric motor rating. However, when a peak load is maintained for a period of time, electric motors feature a rating, which usually should not be less than peak load horsepower.
Duty cycle - Electric Motors:
Continuous steady-running loads over long periods are demonstrated by fans and blowers. On the other hand, electric motors installed in machines with flywheels may have wide variations in running loads. Often, electric motors use flywheels to supply the energy to do the work, and the electric motor does nothing but restore lost energy to the flywheel. Therefore, choosing the proper electric motor also depends on whether the load is steady, varies, follows a repetitive cycle of variation, or has pulsating torque or shocks.
For example, electric motors that run continuously in fans and blowers for hours or days may be selected on the basis of continuous load. But electric motors located in devices like automatically controlled compressors and pumps start a number of times per hour. And electric motors in some machine tools start and stop many times per minute.
Duty cycle is a fixed repetitive load pattern over a given period of time which is expressed as the ratio of on-time to cycle period. When operating cycle is such that electric motors operate at idle or a reduced load for more than 25% of the time, duty cycle becomes a factor in sizing electric motors. Also, energy required to start electric motors (that is, accelerating the inertia of the electric motor as well as the driven load) is much higher than for steady-state operation, so frequent starting could overheat the electric motor.
For most electric motors (except squirrel-cage electric motors during acceleration and plugging) current is almost directly proportional to developed torque. At constant speed, torque is proportional to horsepower. For accelerating loads and overloads on electric motors that have considerable droop, equivalent horsepower is used as the load factor. The next step in sizing the electric motor is to examine the electric motor's performance curves to see if the electric motor has enough starting torque to overcome machine static friction, to accelerate the load to full running speed, and to handle maximum overload.
Rules of Propellers …
The thrust that the propeller producces decreases rather linearly with the vehicle speed until "pitch speed" is
. . . . . . . . . .
reached, after which the thrust drops off rather quickly with increasing vehicle speed.
Electric Motors produce Torque & RPM … the Propeller produces Thrust
1HP = 55ft.lb/sec. Work …
Hence Thrust = 550 * HP / Speed (ft./sec.) … or Thrust = 375 * HP / Speed (MPH)
1HP = 6lbs. Thrust @ 60MPH
Because motors and Propellers are less than 100% efficient … figure 1KW of power = 1HP
Two numbers of information for a propeller are … Diameter and Distance travelled during one rotation.
Static Thrust = 2 * Design Pitch Speed … DPS is most efficient propeller speed.
Very Low Pitch Props like a 9/3, 12/4, 18/6 or 24/8 won't fly but will mix paint nicely.
Propellers w/a Pitch:Diameter Ratio of 0.7 to 1.0 are best for efficiency of flight.
Power absorbed by the Propeller is controlled by RPM, Diameter and Pitch.
Power = 1.31 * Dia.^4 * Pitch * RPM^3 … Watts = 1.31 * Dia^4 * Pitch * RPM^3
Low Pitch = Speed … High Pitch = Performance