SOLUTION AND ANSWER GUIDE ;ILLUSTRATED GUIDE TO THE
NATIONAL ELECTRICAL CODE 9TH EDITION BY CHARLES R. MILLER
|LATEST UPDATE 2026/2027 EXAM!!
PAGE
1
, SOLUTION AND ANSWER GUIDE ;ILLUSTRATED GUIDE TO THE
NATIONAL ELECTRICAL CODE 9TH EDITION BY CHARLES R. MILLER
|LATEST UPDATE 2026/2027 EXAM!!
PAGE
2
, SOLUTION AND ANSWER GUIDE ;ILLUSTRATED GUIDE TO THE
NATIONAL ELECTRICAL CODE 9TH EDITION BY CHARLES R. MILLER
|LATEST UPDATE 2026/2027 EXAM!!
angential acceleration for constant radius
a(theta) = r*a
radial acceleration for constant radius
-r*w^2
Velocity equation given time and constant acceleration
v= v0 + a*t
Position give acceleration for constant acceleration
s=s0 + v0t +0.5a *t^2
Position given initial and final velocity for constant acceleration
s=s0 + 0.5(v0 + v)t
Relative Motion Equation
Va = Vb + Va/b (works for position and accleration)
Tangential velocity given rotational velocity equation
Vt = r*w
Tangential acceleration equation
a = rα
centripetal acceleration given tangential velocity
An = Vt / r
centripetal acceleration given rotational velocity
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3
, SOLUTION AND ANSWER GUIDE ;ILLUSTRATED GUIDE TO THE
NATIONAL ELECTRICAL CODE 9TH EDITION BY CHARLES R. MILLER
|LATEST UPDATE 2026/2027 EXAM!!
an = -r*w^2
Work Equation
work = force x distance
kinetic energy equation for linear motion
KE=1/2mv^2
kinetic energy equation for rotational motion
KE = 0.5Iw^2
potential energy formula due to gravity
PE=mgh=W*y
Potential Energy in Linear Springs
PE = 0.5kx^2
Potential Energy in Rotation Springs
PE = 0.5 k (theta)^2
Kinetic Energy for Particles
T = 0.5mv^2
Kinetic Energy for Rigid Bodies
T = 0.5mv^2 + 0.5Iw^2
elastic potential energy equation
U = 1/2 k x^2
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4
NATIONAL ELECTRICAL CODE 9TH EDITION BY CHARLES R. MILLER
|LATEST UPDATE 2026/2027 EXAM!!
PAGE
1
, SOLUTION AND ANSWER GUIDE ;ILLUSTRATED GUIDE TO THE
NATIONAL ELECTRICAL CODE 9TH EDITION BY CHARLES R. MILLER
|LATEST UPDATE 2026/2027 EXAM!!
PAGE
2
, SOLUTION AND ANSWER GUIDE ;ILLUSTRATED GUIDE TO THE
NATIONAL ELECTRICAL CODE 9TH EDITION BY CHARLES R. MILLER
|LATEST UPDATE 2026/2027 EXAM!!
angential acceleration for constant radius
a(theta) = r*a
radial acceleration for constant radius
-r*w^2
Velocity equation given time and constant acceleration
v= v0 + a*t
Position give acceleration for constant acceleration
s=s0 + v0t +0.5a *t^2
Position given initial and final velocity for constant acceleration
s=s0 + 0.5(v0 + v)t
Relative Motion Equation
Va = Vb + Va/b (works for position and accleration)
Tangential velocity given rotational velocity equation
Vt = r*w
Tangential acceleration equation
a = rα
centripetal acceleration given tangential velocity
An = Vt / r
centripetal acceleration given rotational velocity
PAGE
3
, SOLUTION AND ANSWER GUIDE ;ILLUSTRATED GUIDE TO THE
NATIONAL ELECTRICAL CODE 9TH EDITION BY CHARLES R. MILLER
|LATEST UPDATE 2026/2027 EXAM!!
an = -r*w^2
Work Equation
work = force x distance
kinetic energy equation for linear motion
KE=1/2mv^2
kinetic energy equation for rotational motion
KE = 0.5Iw^2
potential energy formula due to gravity
PE=mgh=W*y
Potential Energy in Linear Springs
PE = 0.5kx^2
Potential Energy in Rotation Springs
PE = 0.5 k (theta)^2
Kinetic Energy for Particles
T = 0.5mv^2
Kinetic Energy for Rigid Bodies
T = 0.5mv^2 + 0.5Iw^2
elastic potential energy equation
U = 1/2 k x^2
PAGE
4
