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force equations (3)
coefficient of friction x weight
work/distance
mass x acceleration
density equation (1)
mass/volume
equation for determinate system
2j = m+3
j=number of joints
m= number of members
work equations (3)
force x distance
pressure x area x length
pressure x volume of displaced liquid
power equations (3)
work/time
amps^2 (resistance) (aka watts)
I(V) or amps (voltage)
ideal mechanical advantage formula (1)
load/ideal effort
efficiency formula (1)
IMA/ AMA
Gear Ratios (2)
driving gear teeth/driven gear teeth
=
driving rotations per minute (RPM)/ driven rotations per minute (RPM)
Fahrenheit to Celcius conversion
F = (9/5)(C) + 32
torsion
turning force
shear
sliding force, force acting in opposite directions
compression
squeeze force, crushing together
tension
pulling apart
bending
compression and tension force
Parallel voltage
same
parallel resistance
1/R = 1/R(1) + 1/R(2) + 1/R(3)…
parallel amps
sum
series resistance
sum
sereis voltage
sum
sereis amps
same
Watt's law
P=IV
Kirchoff's Laws
sum of amount of current going into a node = sum of amount going current out of node
placement of ammeter
within the circuit
placement of voltmeter
just insert the leads between two points and the meter will read the voltage between those two points
alternating
polarity (condition of power supply being pos/neg), changes, current going back and forth
example: wall outlets
digital
the polarity (condition of the power supply being pos/neg) is constant
only 2 values (1/0 or ON/OFF)
example battery
flow rate formula
cross sectional area (velocity)
Bernoulli's Principle
when the pressure decreases, the resistance decreases, the speed of the fluid increases
Poiseuille's Law (about + 3 factors)
about the velocity of the fluid flow
cross sectional area of pipe
length of pipe
viscosity of fluid
viscosity
resistance to be deformed
hydraulic
fluid system
liquids like water and oil
good for lots of force
more accurate
pneumatic
fluid system
air
high speeds
no sparks, so more safe
air compressor
mechanical power system
transmits power via mechanical components like simple machines and relies on mechanical control devices
mechanical advantage formula
MA= output force/input force
Pascal's law
in a limited space, all fluids exert the same amount of pressure in all directions
absolute pressure
relative to vacuum
gauge pressure (relative to local atm) + atm pressure
analog
range of values