Equations 1

Question 1

Equation for torque, acceleration

Answer 1

T=inertia (alpha) * acceleration

Question 2

Torque and diameter

Answer 2

T=Fd/2=Fr

Question 3

Back emf and velocity

Answer 3

E=ke*angular v

Question 4

EMF constant

Answer 4

Ke=kf=BLr

Question 5

Z for Rlc circuit

Answer 5

Z=R+jwL+1/jwc

Question 6

Capacitor referenced

Answer 6

M/ke^2

Question 7

Inductor referenced

Answer 7

Ke^2/ós

Question 8

Resistor referenced

Answer 8

Ke^2/kd

Question 9

Velocity

Answer 9

Velocity =vpk/ke

Question 10

Torque constant wound motor DC

Answer 10

Kt = torque/armature current =T/Ia

Question 11

Power from torque

Answer 11

P=Tw

Question 12

Stored energy in the rotating inertia

Answer 12

W=1/2Iw^2

Question 13

Gear box 3 ratio equations

Answer 13

Input speed =Routput speed
Output torque =R * input torque
Input sT input = output s* T output

Question 14

Equation to refer inertia across a gearbox

Answer 14

Inertia =1/R^2

Question 15

Force on a conductor of length L

Answer 15

F=BIL

Question 16

Energy of a moving conductor

Answer 16

E=-BLv

V-velocity

Question 17

Force on a coil circumference pi*D and turns N

Answer 17

F=BpiDNI=Ke*I

Question 18

Energy stored in an inductor

Answer 18

E=1/2*LI^2

Question 19

Force on a cone

Answer 19

F=Ke*I

Question 20

Energy of a coil

Answer 20

E=Fv*Ke

Question 21

Force on one pole of an actuator

Answer 21

F=BIHNa

Na- turns per pole

Question 22

Torque based on force per pole

Answer 22

T=FD=BIHNaD

Question 23

Force constant and force equations

Answer 23

Kt=2BNL. Factor from 2 coils

F=Kt*I

Question 24

Induced emf across coil

Answer 24

E=keV

Question 25

Equivalent equation for a capacitor

Answer 25

Kt^2/m