PHY 2049 Test 1 Flashcards
Length (L) SI unit
meter (m)
Mass (M) SI unit
kilogram (kg)
Time (T) SI unit
second (s)
Electric Current (A) SI unit
ampere (A)
Absolute Temperature (theta) SI unit
kelvin (K)
Luminous Intensity (I) SI unit
candela (cd)
Amount of substance (n) SI unit
mole (mol)
Tera-
10^12
Giga-
10^9
Mega-
10^6
Kilo-
10^3
Hecto-
10^2
Deca-
10^1
Deci-
10^ -1
Centi-
10^ -2
Milli-
10^ -3
Micro-
10^ -6
Nano-
10^ -9
Pico-
10-12
Reduces long numbers to manageable width
Scientific Notation
Size of a number is adjusted by changing the
Magnitude (x 10^?)
Any meaningful equation must have the same dimensions in the
Left and Right sides
Things being added must have
The same dimensions
Exponents and trig arguments must be
dimensionless
The pressure in fluid motion depends on its
Density and Speed
P=
M/LT^2
Density (p) = M/L^3
Speed (v) = L/T
P/density = speed^2
Area
A = L^2
Volume
V=L^3
Speed
v=L/T
Acceleration
a=L/T^2
Force
F=ML/T^2
Pressure (F/A)
p = M/LT^2
Density (M/V)
p=M/L^3
Energy
E=ML^2/T^2
Power (E/T)
P=ML^2/T^3
Figure that is reliably known
Significant figure
All non-zero digits are
significant
Zeros are significant when…
- Between other non-zero digits
- After the decimal point AND another significant figure
- Can be clarified by using scientific notation
Number of significant figures
Accuracy
When multiplying or dividing (significant figures)
Round the result to the same accuracy as the least accurate measurement
Ex. 4.5 X 7.3 = 32.85 = 33 (2 sig figs)
When adding or subtracting (significant figures)
Round the result to the smallest number of decimal places of any term in the sum
Ex. 135 + 6.213 = 141.213 = 141 (3 sig figs)
A quantity that has both magnitude and direction
Vector
Vectors are represented graphically as
Arrows: directed lines with arrowheads at their ends
Row or column vectors are represented as
i for x, j for y, k for z
Specify which position in a row or column vector that the accompanying number should go
i, j, and k
Unit vectors in the x, y, and z directions
i, j, and k
Said to have a length of 1
Unit vectors are to have a length of
1
Magnitude of a vector is calculated by:
[v] = (sq. rt. (vx^2 + vy^2 + vz^2))
The direction of a 2-dimensional vector can be specified by the angle it makes with
The positive x-axis
Theta = tan^-1 (vy/vx)
Theta = cos^-1(vx/[v])
Theta = sin^-1 (vy/[v]
Given magnitude and direction the components of a vector can be recovered by
vx=[v]cos theta
vy=[v]sin theta
Vector A + Vector B =
Vector C
Vector Ax + Vector Ay =
Vector A
Vector A = - Vector B if
[Vector B] = [Vector A] and their directions are opposite
Vector B = s Vector A has manitude
[B] = [s][A] and has the same direction as A if s is positive or - [A] if s is negative
Slide 18
Comeback to
Displacement
Slide 19
Vector = x i + y j [v] = (sq. rt (x^2 + y^2)) Theta = (tan^-1 ([v]) vx = v cos theta vy = v sin theta
Slide 21
comeback to
Defined in terms of a set of coordinates or frame of reference
Position
In one dimension this is either the x- or y-axis
Position or Frame of reference
Measures the change in position
Displacement
A vector quantity
Represented as delta x (if horizontal) or delta y (if vertical
Displacement
A vector quantity