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Lesson 2 of 11

Basic Physics for Engineers

How to Become an Engineering Salesman

01

Force and Motion

Force is what causes objects to move, stop, bend, or stay still. It is a push or a pull acting on an object in a specific direction. The size of a force determines whether it can overcome resistance, and the direction determines where the object moves.

Motion is the result of unbalanced forces. When forces on an object are perfectly balanced, nothing moves. A crane holding a beam stationary has gravity pulling the beam down and the wire tension pulling it up — equal and opposite, the beam does not move. The moment the hoist motor pulls harder than gravity, motion begins upward.

Diagram — Balanced vs. Unbalanced Forces on a Crane Hook
BALANCED — NO MOTION 5 t T = 49 kN ↑ W = 49 kN ↓ Net Force = 0 → Still UNBALANCED — LIFTING 5 t T = 59 kN ↑ W = 49 kN ↓ Net = +10 kN → Moves ↑
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Machine Principle

Every machine you sell either creates force, transfers force, or controls force. A crane creates upward force. A gearbox transfers rotational force from a motor to a shaft. A hydraulic valve controls where force is directed. Understanding force is understanding what a machine fundamentally does.

02

Newton's Three Laws

Newton's three laws describe how force and motion are related. Every machine obeys them without exception. You do not need to calculate with them, but you need to recognize what you are seeing when they operate on a job site.

First Law
Inertia

An object at rest stays at rest. An object in motion stays in motion. Both conditions continue until an external force acts on the object.

Nothing changes state by itself. Change requires force.

A loaded concrete truck on a slope stays still until the engine produces enough drive force to overcome gravity and static friction. Once moving, it wants to keep moving — braking requires a reverse force.

Second Law
Force = Mass × Acceleration

The bigger the force applied to an object, the faster it accelerates. The heavier the object, the more force you need to accelerate it at the same rate.

This is why a larger crane motor is needed to lift heavier loads at the same speed.

A 10-tonne concrete bucket needs ten times the force to accelerate at the same rate as a 1-tonne bucket. Motor sizing in hoists and conveyors is a direct application of this law.

Third Law
Action & Reaction

Every force has an equal and opposite reaction force. Forces never act alone. They always come in pairs.

The ground pushes back on a crane's outriggers with the same force the crane pushes down with.

When a hydraulic cylinder pushes against a pipe to bend it, the machine frame must absorb the equal opposite reaction. Frame rigidity is a direct consequence of this law — weak frames twist or crack under reaction forces.

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Sales Application

When a client asks why a crane needs outriggers extended and a ground bearing pressure check before lifting, the answer is Newton's Third Law: the ground must push back with the full weight of crane plus load without yielding. When they ask why starting a large conveyor motor trips a breaker, the answer is Newton's Second Law: starting from rest requires a surge of force (current) to overcome inertia. These are not mechanical problems. They are physics operating as designed.

03

Gravity and Weight

Gravity is the force that pulls every object toward the Earth. It acts constantly, in every machine, on every load, in every direction that is "downward." Engineers always account for gravity first — it is the dominant force on most construction structures and equipment.

Mass is the amount of matter in an object. It does not change. Weight is the force gravity exerts on that mass. On Earth, every kilogram of mass produces approximately 9.81 Newtons of downward weight force.

Formula
Weight (N) = Mass (kg) × 9.81
For construction context: 1 tonne of mass produces approximately 9,810 N ≈ 9.81 kN of weight force. A 20-tonne load = 196.2 kN pulling down.
Diagram — Mass vs. Weight, and How Gravity Loads a Crane
MASS vs. WEIGHT Steel Beam Mass: 5,000 kg Weight = 49,050 N = 49.05 kN Mass stays 5,000 kg anywhere. Weight is the downward force. CRANE TOTAL LOAD CRANE STRUCTURE Crane self-weight e.g. 80 t Jib + Hook block e.g. 12 t Lifted Load e.g. 50 t Ground carries: 142 t total
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Critical Sales Point

Ground bearing pressure calculations are gravity calculations. When a civil engineer asks for the crane's ground contact area and total operating weight, they are computing how many kPa the soil must support beneath each outrigger pad. If the ground cannot support the weight, the crane sinks and tips. This is why crane setup requires a soil report on soft or reclaimed ground — not bureaucracy, physics.

04

Work and Energy

In physics, work has a specific meaning: it is force applied over a distance. Simply pushing against a wall that does not move produces no work in the engineering sense, even though it is physically tiring. Work requires both force and displacement in the direction of the force.

Formula
Work (J) = Force (N) × Distance (m)
Lifting a 10 t load (98,100 N) by 20 metres requires 1,962,000 J = 1,962 kJ of work. This is the minimum energy the crane hoist must supply.

Energy is the capacity to do work. A machine consumes energy from fuel or electricity and converts it into useful work — lifting, rotating, pumping, compressing. The difference between energy input and useful work output is lost as heat, sound, and vibration. This loss is called inefficiency.

Diagram — Energy Flow Through a Batching Plant Mixer
ELECTRICAL INPUT 75 kW ELECTRIC MOTOR eff. ~93% ~5 kW heat GEARBOX / REDUCER eff. ~96% ~3 kW heat MIXER DRUM USEFUL WORK ~67 kW ~5 kW friction 75 kW IN → 67 kW useful work → Overall chain efficiency ≈ 89%
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Energy in Practice

When a client asks "how much does this plant cost to run per hour," you are being asked an energy question. Power draw in kW multiplied by hours of operation gives kWh consumed. Multiply by the local electricity tariff to get the operating cost. A 150 kW batching plant running 10 hours a day at $0.12/kWh costs $180/day in electricity alone. This is a number a project manager will have memorized. You should be able to produce it in a conversation.

05

Power — The Rate of Work

Power is not how much work a machine can do. It is how fast it can do it. Two cranes can both lift a 10-tonne load to 30 metres — both do identical work. But if one does it in 2 minutes and the other takes 10 minutes, the first crane has five times the power output. On a construction site, speed is money.

Formula
Power (W) = Force (N) × Velocity (m/s)
Or equivalently: Power = Work ÷ Time. A hoist lifting 10 t (98,100 N) at 0.5 m/s requires 49,050 W = 49 kW of mechanical power — before accounting for motor and gearbox losses.

Power in Motors

Electric motors are rated in kilowatts (kW). This is their mechanical power output at full load. A 75 kW motor does not consume 75 kW constantly — it draws power proportional to the load on it. Running at half load it draws roughly half the power.

In the field, engineers use kW for electrical power and sometimes still use horsepower (HP) for diesel engines. 1 HP ≈ 0.746 kW. A 200 HP diesel engine produces approximately 149 kW of shaft power.

Power in Pumps

A pump's power determines how fast it can move fluid against a given pressure. A high-pressure, low-flow pump and a low-pressure, high-flow pump can have identical power ratings but perform completely different roles. The key relationship is:

Hydraulic Power
P = Pressure × Flow Rate
200 bar × 100 L/min ≈ 33 kW hydraulic power
Diagram — Same Work, Different Power: Two Cranes, One Load
CRANE A — HIGH POWER 10 t ↑↑↑ Speed: 1.5 m/s → Time: 20s Power needed: ~147 kW Work done: same VS CRANE B — LOW POWER 10 t Speed: 0.3 m/s → Time: 100s Power needed: ~29 kW Work done: same
06

Torque and Rotation

Most construction machines involve rotation: motors spin shafts, gearboxes transmit rotation, drums rotate, augers drill. Torque is the rotational equivalent of linear force — it is what causes or resists rotation. The further from the centre of rotation a force is applied, the greater the torque it produces.

Formula
Torque (N·m) = Force (N) × Arm Length (m)
A 500 N force applied 0.5 m from a shaft centre produces 250 N·m of torque. Doubling the arm to 1 m produces 500 N·m with the same force. This is why wrenches have long handles.
Diagram — Torque in a Gearbox: Slow Shaft, High Torque
MOTOR 75 kW 1450 RPM ⟳⟳⟳ z=20 INPUT GEAR GEARBOX RATIO 1:5 z=100 OUTPUT GEAR OUTPUT SHAFT 290 RPM 5× Torque Speed ÷5 → Torque ×5. Power remains nearly constant (minus gearbox losses).

The relationship between torque, speed, and power is fundamental to every rotating machine. A gearbox does not create power — it trades speed for torque. When an engineer specifies a high gear reduction ratio, they want the output shaft to turn slowly but with enormous twisting force. Mixer drums, auger drives, and rotary kilns all use large gear reductions to produce high output torque from a relatively small motor.

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Sales Context — Mixer Motor Torque

When an engineer evaluates a concrete mixer, high starting torque is critical. Concrete starts as a stiff, heavy mass. The motor must generate enough torque to begin rotating the drum against maximum resistance. A motor that cannot produce sufficient starting torque will stall, trip the breaker, or burn out. This is why mixer motors are often specified with a service factor above 1.0 and why direct-on-line starting requires careful electrical design. Torque at start is a technical selling point, not just rated power at full speed.

07

Friction and Efficiency

Friction is the resistance that opposing surfaces generate when they move against each other. Every moving part in a machine produces friction: bearings, gears, seals, pulleys, conveyor belts on rollers. Friction converts useful energy into heat. It is always present and always causes energy loss.

Efficiency is the percentage of input energy that becomes useful output work. A machine that is 85% efficient converts 85% of the power it receives into useful output and wastes 15% as heat, vibration, and sound.

Formula
Efficiency (%) = (Useful Output ÷ Total Input) × 100
A pump drawing 55 kW of electrical power and delivering 44 kW of hydraulic output has an efficiency of 80%. The remaining 11 kW heats the oil and motor housing. This is why hydraulic systems require oil cooling on high-duty applications.
Diagram — Efficiency Chain: Conveyor Belt System
GRID POWER 100 kW input −5 kW motor MOTOR 95 kW eff. 95% −3.8 kW gearbox GEARBOX 91.2 kW eff. 96% −3.6 kW belt BELT/PULLEY 87.6 kW eff. 96% USEFUL WORK ~84 kW eff. ~84% Total losses: ~16 kW as heat. Overall efficiency 84%. Each stage multiplies.
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Why Efficiency Matters in Sales

Two conveyor systems might have identical throughput capacity. If one is 84% efficient and the other 92%, over a 10-hour shift at 100 kW input, the first burns through 1,600 kWh of wasted energy daily. At industrial electricity rates, this gap becomes a tangible cost over a project lifetime. Efficiency specs are a commercial differentiator, not just an engineering formality.

08

Pressure and Fluid Behaviour

Pressure is force distributed over an area. The same force concentrated on a smaller area produces higher pressure. In construction equipment, pressure is everywhere: hydraulic cylinders, water pumps, concrete pumping, pneumatic systems, compressed air lines, and load bearing on soil.

Formula
Pressure (Pa or bar) = Force (N) ÷ Area (m²)
1 bar = 100,000 Pa. Hydraulic systems in construction operate at 200–420 bar. Concrete pumping circuits: 70–120 bar. Pneumatic tools: 6–10 bar. These ranges matter when specifying hoses, fittings, and seals.

Pascal's Law — The Basis of All Hydraulics

Pascal's Law states that pressure applied to a confined fluid transmits equally in all directions throughout the fluid. This is why hydraulic systems work: a small pump can generate high pressure, and that pressure acts on a large cylinder area to produce a massive force.

Diagram — Pascal's Law: Small Pump Force → Large Cylinder Force
F = 500 N Pump Area = 5 cm² P = 100 bar Pressure = 100 bar (same everywhere) F = 50,000 N = 50 kN ↑ Cylinder Area = 50 cm² F = P × A = 50 kN Area ratio = 50/5 = 10× Force multiplied by 10×

Flow Rate and Velocity

In any hydraulic or pumping system, flow rate determines the speed of operation while pressure determines the force. A hydraulic cylinder moves faster when more oil flows into it per second. If you want a crane hook to lift faster, you need higher hydraulic flow. If you want it to lift heavier loads, you need higher hydraulic pressure. These are independent settings controlled by the hydraulic circuit design.

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Concrete Pump — Pressure

A concrete pump forces fluid concrete through a delivery pipeline, often over long distances and up significant height. High viscosity concrete requires high pump pressure — up to 120 bar on demanding pours. Exceeding pipeline or coupling pressure ratings is a site failure mode. The pump's rated output pressure must match the job requirements, not just the volume output.

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Water Pump — Flow Rate

For site dewatering, a contractor needs volume — thousands of litres per hour removed from an excavation. Pressure is less critical than flow rate here. A high-pressure low-flow pump is the wrong tool. Matching pump type to the application (centrifugal for high flow, piston/plunger for high pressure) is a basic specification decision you need to understand before quoting.

Lesson 2 — Summary Reference Table

Concept Symbol Unit Plain Meaning Construction Example
Force F N / kN A push or pull acting on an object Crane hook tension, hydraulic cylinder push
Mass m kg / t Amount of matter. Constant regardless of location. Load weight, equipment shipping weight
Weight W N / kN Gravitational force on a mass (= m × 9.81) 10 t load → 98.1 kN downward on crane hook
Work W J / kJ Force applied over a distance Lifting a beam 20 m high against its weight
Energy E kWh / kJ Capacity to do work; consumed over time Electricity consumed by a batching plant per shift
Power P W / kW Rate of doing work Motor rating, hoist speed, pump output rate
Torque T N·m Rotational force — twisting effect about a shaft Mixer motor startup torque, gearbox output shaft
Speed (rotational) n RPM Revolutions per minute of a rotating shaft Motor at 1450 RPM, reduced to 290 RPM by gearbox
Efficiency η % Useful output divided by total input A 90% efficient pump wastes 10% as heat
Friction f Resistance between moving surfaces; converts energy to heat Bearing losses in conveyor rollers, seal drag in hydraulic cylinders
Pressure p bar / MPa Force per unit area Hydraulic circuit: 200–350 bar. Concrete pump: 70–120 bar
Flow Rate Q L/min / m³/hr Volume of fluid moving per unit time Hydraulic pump: 100 L/min. Dewatering pump: 200 m³/hr
Newton's 1st Law Objects resist changes in motion (inertia) Conveyor startup requires surge current to overcome inertia
Newton's 2nd Law F=ma N Force needed = mass × desired acceleration Heavier hoist loads require proportionally more motor force
Newton's 3rd Law Every force has an equal opposite reaction Outrigger pads must carry full crane + load reaction force
  • Force is not the same as pressure. Force acts on a point; pressure is force distributed over an area. Confusing these in a hydraulic discussion signals a gap in understanding.
  • Power tells you how fast a machine works, not how much work it can do total. When comparing two cranes or two pumps, always ask: power at what speed or flow rate?
  • Gearboxes trade speed for torque. The power in and power out are nearly equal. The shaft turns slower, but with more twisting force. This is not a gain — it is a conversion.
  • Pascal's Law is the entire basis of hydraulic equipment. Pressure equal throughout the circuit means a small pump piston can actuate a large cylinder. The force multiplication equals the area ratio.
  • Efficiency losses are cumulative. A drivetrain with four components each at 95% efficiency delivers only 81.5% of input power to the output. Every bearing, seal, and gear joint costs something.
  • Newton's Third Law governs ground bearing and structural reaction forces. Every force a machine applies to a load produces an equal force back on the machine and its supports. Engineers check both ends.