FE Mechanical Cheat Sheet 2026/2027 |
NCEES Fundamentals of Engineering |
Latest Update | Formulas, Concepts &
Exam Review
tangential acceleration for constant radius - correct answer-a(theta) = r*a
radial acceleration for constant radius - correct answer--r*w^2
Velocity equation given time and constant acceleration - correct answer-v= v0 +
a*t
Position give acceleration for constant acceleration - correct answer-s=s0 + v0*t
+0.5*a *t^2
Position given initial and final velocity for constant acceleration - correct answer-
s=s0 + 0.5(v0 + v)t
Relative Motion Equation - correct answer-Va = Vb + Va/b (works for position and
accleration)
,Tangential velocity given rotational velocity equation - correct answer-Vt = r*w
Tangential acceleration equation - correct answer-a = rα
centripetal acceleration given tangential velocity - correct answer-An = Vt / r
centripetal acceleration given rotational velocity - correct answer-an = -r*w^2
Work Equation - correct answer-work = force x distance
kinetic energy equation for linear motion - correct answer-KE=1/2mv^2
kinetic energy equation for rotational motion - correct answer-KE = 0.5*I*w^2
potential energy formula due to gravity - correct answer-PE=mgh=W*y
Potential Energy in Linear Springs - correct answer-PE = 0.5*k*x^2
Potential Energy in Rotation Springs - correct answer-PE = 0.5 * k * (theta)^2
Kinetic Energy for Particles - correct answer-T = 0.5*m*v^2
Kinetic Energy for Rigid Bodies - correct answer-T = 0.5*m*v^2 + 0.5*I*w^2
, elastic potential energy equation - correct answer-U = 1/2 k x^2
Change in Potential Energy when Spring Length Changes - correct answer-V2 - V1
= k(s2^2 - s1^2)/2
Work - correct answer-U = F*change in distance
Power equation - correct answer-U = power = work/time
Voltage equation - correct answer-V=IR
Resistors/Springs in Series - correct answer-Add together
Resistors/Springs in Parallel - correct answer-Add inverses together
specific volume equation - correct answer-v = 1/density
Specific Weight Equation - correct answer-y = density*gravity
specific gravity (SG) for liquids - correct answer-SG = density of substance/density
of water
specific gravity for gas - correct answer-SG = density of gas / density of air at STP
NCEES Fundamentals of Engineering |
Latest Update | Formulas, Concepts &
Exam Review
tangential acceleration for constant radius - correct answer-a(theta) = r*a
radial acceleration for constant radius - correct answer--r*w^2
Velocity equation given time and constant acceleration - correct answer-v= v0 +
a*t
Position give acceleration for constant acceleration - correct answer-s=s0 + v0*t
+0.5*a *t^2
Position given initial and final velocity for constant acceleration - correct answer-
s=s0 + 0.5(v0 + v)t
Relative Motion Equation - correct answer-Va = Vb + Va/b (works for position and
accleration)
,Tangential velocity given rotational velocity equation - correct answer-Vt = r*w
Tangential acceleration equation - correct answer-a = rα
centripetal acceleration given tangential velocity - correct answer-An = Vt / r
centripetal acceleration given rotational velocity - correct answer-an = -r*w^2
Work Equation - correct answer-work = force x distance
kinetic energy equation for linear motion - correct answer-KE=1/2mv^2
kinetic energy equation for rotational motion - correct answer-KE = 0.5*I*w^2
potential energy formula due to gravity - correct answer-PE=mgh=W*y
Potential Energy in Linear Springs - correct answer-PE = 0.5*k*x^2
Potential Energy in Rotation Springs - correct answer-PE = 0.5 * k * (theta)^2
Kinetic Energy for Particles - correct answer-T = 0.5*m*v^2
Kinetic Energy for Rigid Bodies - correct answer-T = 0.5*m*v^2 + 0.5*I*w^2
, elastic potential energy equation - correct answer-U = 1/2 k x^2
Change in Potential Energy when Spring Length Changes - correct answer-V2 - V1
= k(s2^2 - s1^2)/2
Work - correct answer-U = F*change in distance
Power equation - correct answer-U = power = work/time
Voltage equation - correct answer-V=IR
Resistors/Springs in Series - correct answer-Add together
Resistors/Springs in Parallel - correct answer-Add inverses together
specific volume equation - correct answer-v = 1/density
Specific Weight Equation - correct answer-y = density*gravity
specific gravity (SG) for liquids - correct answer-SG = density of substance/density
of water
specific gravity for gas - correct answer-SG = density of gas / density of air at STP
