Fundamentals Mechanics IC Engines Gyroscope Vibration Distance and Displacement Starting from origin, O a person walks 90-m east, then turns around and walks 40-m west. Q: What is the total walked distance? Distance and Displacement Starting from origin, O a person walks 90-m east, then turns around and walks 40-m west. Q: What is the total walked distance? A: 130-m Distance and Displacement Starting from origin, O a person walks 90-m east, then turns around and walks 40-m west. Q: What is the total walked distance? A: 130-m Q: What is the displacement? Distance and Displacement Starting from origin, O a person walks 90-m east, then turns around and walks 40-m west. Q: What is the total walked distance? A: 130-m Q: What is the displacement? A: 50-m, due east. Displacement x final position xo initial position x x xo displaceme nt The displacement Δx is a vector that points from the initial position to the final position. SI Unit of Displacement: meter (m) 2.2 Speed and Velocity •Average Speed •Average Velocity •Instantaneous Velocity •Instantaneous Speed Average Speed Units for speed: m/s, MPH, kmPH. Average Velocity Average velocity Displaceme nt Elapsed time x x o x v t to t Units for velocity: m/s, MPH, kmPH. Instantaneous Velocity and Speed The instantaneous velocity v indicates how fast an object moves and the direction of the motion at each instant of time. x v lim t 0 t The magnitude of the instantaneous velocity is called the instantaneous speed, and it is the number (with units) indicated by the speedometer. Acceleration Acceleration Units: m/s2, cm/s2 Instantaneous acceleration Acceleration at a particular instant is called instantaneous acceleration. Pressure Vs Velocity Statics Kinematics Kinetics Internal Combustion Engines Steady Gas Turbine Uses compressor and turbine, not piston-cylinder Non-steady Premixed-charge Fuel and air are mixed before/during compression Usually ignited with spark after compression Turboshaft All shaft work to drive propeller, generator, rotor (helicopter) Two-stroke One complete thermodynamic cycle per revolution of engine Turbofan Part shaft, part jet "ducted propeller" Four-stroke One complete thermodynamic cycle per two revolutions of engine Turbojet All jet except for work needed to drive compressor Ramjet No compressor or turbine Use high Mach no. ram effect for compression Rocket Carries both fuel and oxidant Jet power only, no shaft work Solid fuel Fuel and oxidant are premixed and put inside combustion chamber Liquid fuel Fuel and oxidant are initially separated and pumped into combustion chamber Non-premixed charge Only air is compressed, fuel is injected into cylinder after compression Two-stroke One complete thermodynamic cycle per revolution of engine Four-stroke One complete thermodynamic cycle per two revolutions of engine Steady non-steady Turbo shaft Turbo prop Turbo jet Ram jet Rocket