Mathematics for the trades
Where would an operator or tradesperson encounter this mathematics? Every module answers that question - then gives you practice that behaves like the job.
Electrical Math
Ohm's Law
The relationship between voltage, current and resistance - the most-used calculation in electrical work.
V = I x R
Electrical Power
Volts times amps equals watts - the link between electricity and real work, heat and cost.
P = V x I
Three-Phase Power
Power across three phases - motor current estimates and switchboard loading.
P = sqrt(3) x V x I x PF
Fluid Math
Flow Rate
Volume moved per unit time - pumps, pipes, tanks and treatment processes.
Q = V / t
Pressure & Head
Converting between pressure and the height of a liquid column - pumps, tanks and gauges.
P = rho x g x h
Pump Efficiency
Comparing the hydraulic work a pump does with the power it consumes.
eta = P_hydraulic / P_input
Mechanical Math
RPM to Frequency
Converting shaft speed to hertz - the anchor for every vibration analysis.
f = RPM / 60
Measurement
Unit Conversion
Switching safely between SI, metric and imperial units without losing the plot.
value_new = value_old x factor
Geometry
Tank & Cylinder Volume
Volumes of cylindrical tanks and pipes - capacity, fill times and dosing.
V = pi x r^2 x h
Operational Math
Percent Loading & Ratios
Loading percentages, efficiencies and utilization - the numbers behind operating decisions.
Loading% = actual / rated x 100