Shaded Pole

suppose we have 2 circles having the same center. the small one has a radius, and the large one has radius.
lets now consider the 2 shapes, the 1st is the doughnut-like region between the 2 circles. the second is a disk whose diameter is the length of the line segment whose endpoints are on the large circle and whose center point touches the small circle at its north pole. what are the areas of these 2 shaded regions? how do their sizes compare with each other?
A “doughnut-like” shape in the plane is called an annulus. Your description is pretty good, but what is shaded and what is not shaded? Lets say the large circle has radius R and the small circle has radius r. Then the circle whose center is at the “north pole” of the small circle has radius sqrt(R^2 – r^2), by the Pythagorean theorem.
The annulus has area: pi R^2 – pi r^2 = pi (R^2 – r^2)
The circle centered at “north pole” has area: pi (sqrt(R^2-r^2))^2 =
pi (R^2 – r^2).
So the annulus has the same area as the circle centered at the north pole.
Most likely, that was your question.
Shaded Pole AC Motor vs VFD
|
|
PACKARD INC C FRAME SHADED POLE 65428 3000/1 NIB $29.99 |
|
|
NEW DAYTON HVAC 3.3″ Shaded Pole Motor 1/40 HP # 3M556 $40.00 |
|
|
REX ENGINEERING AC POWERED SHADED POLE GEARMOTOR 115/60 $45.00 |
|
|
General Electric Motor shaded pole: WB26X10162 $12.90 |
|
|
DAYTON SHADED POLE MOTOR 3M548 *NEW* $50.00 |
|
|
Dayton 3M290A Shaded Pole Electric Motor 1/20 HP 3M290 $45.99 |
|
|
Dayton 4M078A Shaded Pole Fan Motor 1/150hp 3000rpm NIB $49.99 |
|
|
1TDP3 Shaded Pole Blower, 75CFM,115 V DAYTON Brand New $53.00 |
|
|
DAYTON C-Frame Motor, Shaded Pole 4M073 $26.00 |
|
|
(500) SHADED POLE BLOWER – FRANKLIN ELECTRIC $9,500.00 |
|
|
Dayton shaded pole motor 3M661 $14.99 |
|
|
Dayton Motor Model: 3M363A Shaded Pole Motor $49.99 |
|
|
Dayton Motor Model: 2Z809C Shaded Pole Gearmotor $49.99 |
|
|
PACKARD INC “C” FRAME SHADED POLE S58-428 65428 $22.99 |
|
|
GENERAL ELECTRIC SHADED POLE MOTOR KSM59CS1533-T $18.50 |
|
|
A.O SMITH SHADED POLE AC MOTOR AO120 1/7 HP 115V 60HZ $7.97 |
|
|
Dayton Shaded Pole Gearmotor 3M728B 1/4″ $34.99 |
|
|
PACKARD INC “C” FRAME SHADED POLE S58-428 65428 NIB $29.99 |
|
|
FASCO D208 Shaded Pole Motor, Type U21 = $34.99 |
|
|
Dayton Shaded Pole Blower 4C004A $60.00 |
|
|
PACKARD SHADED POLE MOTOR 15040 $35.00 |
|
|
FASCO SHADED POLE MOTOR D209 $29.95 |
|
|
ELECTRIC MOTORS & SPECS ESP-L35CM2 SHADED POLE MOTOR $50.00 |
|
|
FASCO MOTOR SHADED POLE MOD# D477 1550RPM 1/35HP $27.00 |
|
|
New! A.O Smith OML6418 Shaded Pole 1/7 HP AC Motor 115v $54.99 |
|
|
New A.O Smith OML6433 Shaded Pole AC Motor 115v 1/5 HP $69.99 |
|
|
New A.O Smith OML6433 Shaded Pole 1/5 HP AC Motor 115v $59.99 |
|
|
Dayton 3M328A Shaded pole Gear Motor $217.25 |
|
|
Maxi Torq 3M330A Shaded Pole Gearmotor $120.00 |
|
|
Dayton 4C446 Blower Shaded Pole 148 CFM RPM 3160 NEW $82.29 |
|
|
New Dayton Shaded Pole Motor 1/15HP 1PH 3M577A 115V $40.00 |
|
|
Dayton Shaded pole electric motor $25.00 |
|
|
FIFTY(50) SHADED POLE BLOWER – FRANKLIN ELECTRIC $1,000.00 |
|
|
FIVE(5) SHADED POLE BLOWER – FRANKLIN ELECTRIC $100.00 |
|
|
New Dayton Shaded Pole Fan/ Blower Motor, 3M543A $54.50 |
|
|
Dayton Shaded Pole Gearmotor 1L450 New! $35.95 |
|
|
DAYTON – 1/20 HP SHADED POLE GEAR MOTOR $178.00 |
|
|
GE 1/6HP 208/230V 1PH 1050 RPM SHADED POLE HVAC MOTOR $49.00 |
|
|
NOS MagneTek 324 Shaded Pole 1/25HP 1.8A ELECTRIC MOTOR $19.75 |
|
|
Dayton Shaded Pole Blower 60Hz 115V CFM Free Air $35.00 |
|
|
Dayton 3M662 Shaded Pole Motor 1/40 115 VAC 1550 R NIB $39.00 |
|
|
Smith Shaded Pole 5416 Motor for Double blower heat/AC $91.08 |
|
|
Dayton Shaded Pole Motor 3M393A 3M-393A 1/4Hp 1050 RPM $64.99 |
|
|
MAGNETEK 89 UNIVERSAL ELECTRIC MOTOR SHADED POLE 115V $27.77 |
|
|
DAYTON SHADED POLE GEARMOTOR 2Z807C NIB $45.00 |
|
|
EMERSON SHADED POLE UNIT BEARING FAN MOTOR ESPL35EM1! $24.99 |
|
|
GENERAL ELECTRIC SHADED POLE MOTOR KSM59CS1533-T $18.50 |
|
|
NEW MAGNETEK 1/20 HP 1450 RPM 208/230 SHADED POLE MOTOR $22.95 |
|
|
FASCO DI88 SHADED POLE NIB $14.05 |
|
|
NEW FASCO SHADED POLE 2 SPEED 1/15 -1/25 MOTOR 115 VOLT $42.00 |






