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Engineering Handbook/Motion
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Engineering Handbook
Motion
Linear
Non Linear
Speed
v
=
s
t
{\displaystyle v={\frac {s}{t}}}
v(t)
Acceleration
a
=
v
t
{\displaystyle a={\frac {v}{t}}}
a
=
d
v
(
t
)
d
t
{\displaystyle a={\frac {dv(t)}{dt}}}
Distance
S
=
v
t
=
a
t
2
{\displaystyle S=vt=at^{2}}
s
=
∫
v
(
t
)
d
t
{\displaystyle s=\int v(t)dt}
Force
F
=
m
a
=
m
v
t
=
p
t
{\displaystyle F=ma={\frac {mv}{t}}={\frac {p}{t}}}
a
=
m
d
v
(
t
)
d
t
{\displaystyle a=m{\frac {dv(t)}{dt}}}
Work
W
=
F
s
=
F
v
t
=
p
v
{\displaystyle W=Fs=Fvt=pv}
F
∫
v
(
t
)
d
t
{\displaystyle F\int v(t)dt}
Energy
E
=
W
t
=
F
v
=
F
a
t
=
p
a
{\displaystyle E={\frac {W}{t}}=Fv=Fat=pa}
F
t
∫
v
(
t
)
d
t
{\displaystyle {\frac {F}{t}}\int v(t)dt}
Pressure
a
=
F
A
{\displaystyle a={\frac {F}{A}}}