1st level degree in Biotechnologies - Year 2004/2005
Mathematics and Physics Fundamentals
Program of the module:
Physical fundamentals
and applied fluid dynamics
Vectors
Frames of reference – Components – Operations on vectors: addition and subtraction
of vectors, multiplication of a vector times a scalar
Kinematics
Motion in a straight line – Average and instantaneous velocity – Average
and instantaneous acceleration – The equation of uniformly accelerated motion
– Two dimensional motion – Uniform circular motion and its components – Harmonic
motion
Dynamics
Newton’s laws of motion – Weight – Normal force – Friction –Drag – Centrifugal
force – Elastic force – Momentum – Conservation of momentum – Examples of conservation
of momentum: cannon and bullet, man on the boat – Example of motion in presence
of drag: Immunoglobulin – The centrifuge
Energy and Work
Kinetic energy – Work – Theorem of kinetic energy – Potential energy – Conservative
forces – Conservation of mechanical energy – Work of non-conservative forces
– Energy of the harmonic oscillator
Angular quantities
Angular velocity Angular acceleration Moment of inertia
Rotational kinetic energy Angular momentum Torque
Fluids
The Nature of Fluids – Pressure – Hydrostatic pressure, buoyancy – Archimede’s
principle – The equations of static of fluids – Stevin’s law – Ideal fluids
– The continuity equation – Bernoulli’s equation – Torricelli’s law – The Venturi’s
tube – Viscosity and the flow of real fluids – Velocity profile for a viscous
fluid – Poiseuille’s equation