Please enable JavaScript.
Coggle requires JavaScript to display documents.
Introduction to Kinematics (Mechanics (Kinematic Measurements motion…
Introduction to Kinematics
Dimensional Analysis
Applications
you know all possible dimensions
but would like to reduce variable load
for an experiment.
You want to check the validity of an
equation via dimensional analysis.
An equation which passes dimensional analysis
may or may not be correct, but an equation
which fails dimensional analysis is definitely
wrong.
Strategy
1) Replace all units with dimensions
2) Set powers of dimensions equal
3) Solve & then plug in
Measurement
measurement is
limited by the accuracy
of the equipment we use
you are allowed to
approximate within 0.5 of
the said unit
motion is relative
SI System
"system de' Internationale (1799),
french revolution
Prefixes
(T)etra(10^12)
(G)iga(10^9)
(M)ega(10^6)
(u)mikro(10^-6)
(n)ano(10^-9)
(p)ico (10^-12)
Units
Base Units
(& dimensions)
Temperature (kelvin)
electric current (A)
Amount (mol)
Length (1m)
Quadrant/10^7
Mass (1kg)
Platinum Iridium
Cylinder
Time (1s)
9 192 631 700
Cesium 133 cycles
Luminosity (cd)
Derived Units
Area (m^2)
Velocity (m/s)
Density (kg/l)
Acceleration (m/s^2)
Constants
Avogadro's Constant
Na = 6.022 * 10^23
Boltzmann's Constant
Kb = 1.38 * 10^-23 J/K
(Joules of Ke)
Gravitational Acceleration
g = 9.8 m/s^2
Significant Figures
Operations
Round after all of a particular
operation is complete, not after
every operation.
Addition/Subtraction
round output by decimals
Multiplication/Division
round output by sigfigs
Counting SigFigs
leading zeroes don't count
ending zeroes only count between/after the decimal
middle zeroes always count
digits 1-9 always count
Mechanics
Diagrams
Derivative = step up
Integral = step down
Vectors
force
derivatives of
displacement
Amplitude
Magnitude
Kinematic Measurements
motion
Velocity (v)
Mortons Law: vbar=(vf+vi)/2 (v is linear)
vf=vi+at (a is constant)**
{{instantaneous velocity}}
Acceleration
"add celerity"
Jerk
snap
crackle
pop
abar=(vf-vi)/(tf-ti)
{{instantaneous Acceleration}}
Displacement
(s)patium
d=(vf^2-vi^2)/2a (a is constant)
d=vi(t)+(at^2)/2 {a is constant)
Scalars
Dynamics
motion
force
Statics
motion
force
energy
Subdivisions
Force
an interaction which
causes change to
motion, shape. or
energy
Energy
An environments ability
to do work.
(work is done when
a force causes a change
in energy)
Motion
change in position
Oscilatory
Rotational
Random
Translational