New Velocity
VNew = VOld + AT
This equation is used to
get
a new velocity after a known old velocity plus a known period of known
acceleration. VNew is the new velocity, while VOld
is the old and known velocity. The variable A is for
acceleration,
and T is for time. Please be sure that A, VOld
, and VNew are in the same units as each other
(i.e.
meters / second). For slowing down (deceleration), just use a
negative
value for A.
Distance Traveled with Linear Acceleration / Deceleration
XNew - XOld = 1/2 (VNew + VOld ) T
This equation is used to
get
the distance traveled when the old and new velocities and time are
known.
VNew
is the new velocity, while VOld is the old and known
velocity. The variable A is for acceleration, and T
is for time. Please be sure that VOldand VNew
are
in the same units as each other (i.e. meters / second). Likewise,
be sure that XNew and
XOld are in the
same distance units as that used in VOld and
VNew.
Another Equation for
Distance Traveled with Linear
Acceleration
/ Deceleration
(Acceleration Is Known.)
XNew - XOld = VOldT + 1/2 AT2
This equation is used to
get
the distance traveled when the old velocity, time, and acceleration are
known. VNew is the new velocity, while VOld
is the old and known velocity. The variable A is for
acceleration,
and T is for time. Please be sure that VOld
, VNew , and A are in the same units as
each
other (i.e. meters / second). Likewise, be sure that XNew
and XOld are in the same distance units as that used in VOldand
VNew.
For
deceleration, use a negative value for
A.
New Velocity Based on
Acceleration
/ Deceleration
and Distance Traveled
VNew2 = VOld2 + 2A ( XNew - XOld )
This equation is used to
get
a new velocity after a known old velocity plus a known period of known
acceleration. VNew is the new velocity, while VOld
is the old and known velocity. The variable A is for
acceleration,
and T is for time. Please be sure that A, VOld
, and VNew are in the same units as each other
(i.e.
meters / second). For deceleration, just use a negative value for
A.
Distance Traveled with Varying Speed Over Time
XNew - XOld = VAverage T
OR
XNewAAAA
V dT
XOldAAAA
CAUTION: CALCULUS IS PRESENT HERE! Guard thy sanity!
This equation is used to
get
the distance traveled over a period of time when the velocity varies. V
is the velocity function of time. Please be sure that XOld
, and XNew are in the same units as each other
(i.e.
meters / second).
Splitting Up X, Y, and possibly Z Components of An Angled Path
X = L COS (q)
and
Y = L SIN (q)
and possibly
Z = L SIN (qX-Z
Plane)
These equations is used to
get the X and Y components of an angled line whose length is L.
The third equation is required only when working in 3-D. The Z
part
is from the X-Z plane.
Distance Between Two Points
D = ( X2 + Y2+ Z2 )1/2
This is the standard 3-D
distance
formula. When working in 2-D, just omit the Z part or just give
it
a value of 0.
Basic Force Equation
F = MA
This equation is used to
calculate
force on a given mass of an object and its acceleration (or
deceleration
by using a negative value). Also, a negative value can mean
acceleration
in the OPPOSITE direction. F is the net force in newtons
or
1 Kg * M/s2. That means if a mass of 1 kilogram (which
is 2.204623 lb when at sea level on Earth) is decelerated
by
one meter per second (acceleration = -1), it would
take
a force of 1 newton to stop it. For British use, F
is in the units of pounds and M is in units of slugs, which is
a
British unit for mass, and A is in units of ft/s2.
Please note that WEIGHT is also a force, but is composed of MASS x
ACCELERATION.
In place of A, use 9.803 if in m/s2 or use 32.162 ft/s2,
which is the acceleration caused by Earth's gravity at sea level.
a a
Linear G-Force
F = (( VOld - VNew ) / T ) / G
This equation is used to
calculate
linear G-force. VNew is the new velocity,
while
VOld
is the old and known velocity. The variable
G is for acceleration,
and T is for time. Please be sure that G, VOld
, and VNew are in the same units as each other
(i.e.
meters / second). For deceleration, just use a negative value for
G.
Centrifugal G-Force
F = ( V2 / R ) / G
This equation is used to
calculate
centrifugal G-force. V is the velocity, while R
is
the radius. The variable G is for gravity. Please
be
sure that G and V are in the
same units
as each other (i.e. meters / second).
Centrifugal G-Force Using RPM's
F = ( (2pR(N/60))2 / R ) / G
This equation is used to
calculate
centrifugal G-force when the number of revolutions per period of time
and
the radius are known.. N is the number of circles
(Fractionalcircles
are included as a fraction.) made within a unit of time
(i.e.
second), while R is the radius. The variable
G
is for gravity. Please be sure that G and R are
in
the same distance units as each other (i.e. meters).
Whatever
unit of time is used, make sure that it is reflected in
both
the number of circles made and in the time unit used in
accelerationdue
to gravity. For your information, Earth's gravity results in a G
value of 32 ft/sec2 or 9.8 m/s2. To just
get
typical force, just disregard the division by G or
just
change G to a value of 1.
Centrifugal G-Force Using
RPM's
(Easy Method Using
Units of Feet)
F = (0.01846531 N)2 R
This equation is used to
calculate
centrifugal G-force when the number of revolutions per minute and the
radius
are known.. N is the number of circles (Fractional circles are
included
as a fraction.) made within one minute, while R is the
radius.
This formula works only in units of minutes and feet. This was
derived
using dimensional analysis.
Centrifugal G-Force Using
RPM's
(Easy Method Using
Units of Meters)
F = (0.03344638 N)2 R
This equation is used to
calculate
centrifugal G-force when the number of revolutions per minute and the
radius
are known.. N is the number of circles (Fractional circles are
included
as a fraction.) made within one minute, while R is the
radius.
This formula works only in units of minutes and meters. This was
derived using dimensional analysis.