General Flashcards
sin 0 sin 30 sin 45 sin 60 sin 90
sin 0 = 0
sin 30 = 0.5
sin 45 = 0.707
sin 60 = 0.866
sin 90 = 1
cos 0 cos 30 cos 45 cos 60 cos 90
cos 0 = 1
cos 30 = 0.866
cos 45 = 0.707
cos 60 = 0.5
cos 90 = 0
tan 0 tan 30 tan 45 tan 60 tan 90
tan 0 = 0
tan 30 = 0.577
tan 45 = 1
tan 60 = 1.73
tan 90 = undefined
centripetal acceleration formulas
ac = v² / r
ac = w²r
ac = 2πv/T
Centripetal force formulae
Fc = mv² / r
Fc = mw²r
Fc = 2πmv / T
tan ø =
tan ø = v² / rg
Mean position properties
x = 0
a = 0
Fres = 0
KE = max
V = max
Extreme position properties
x = max
a = max
Fres = max
KE = 0
V = 0
(SHM)
T =
T = 2π/w
Mass attached to spring
T = 2π √(m/k)
or
T = 2π √(l/g)
s = ?
s = rø
Angular displacement in radian formula
2πt/T
1º =
1 radian
Angular speed formula
2π/T
Angular speed (v)
v = r 2π/T
Which waves needs medium
Mechanical
Longitudinal waves speed (V) depends on
V = √(E/p)
E = elasticity
p = density
Normal medium to denser medium
Mechanical waves EM
frequency constant constant
wavelength inc dec
speed inc dec
Intensity formula
I = E / tA (E/t = power) so
I = Power x Amplitude so
I = 2π² (density) A² f² V
Audible frequency range
20 Hz - 20 kHz
Speed of sound fastest in
Solids then liquids then gases
Factors affecting speed of sound
Inversely proportional to density
The more moist/humid the faster
The higher the temp the faster
Speed of sound in higher temps formula
V = 332 + 0.61t (t = temp of air in Cº)
Constructive and destructive interference path differences
constructive: d = m(wavelength)
destructive: d = m + ½ (wavelength)
Phase differences
Constructive: 2mπ
Destructive: (2m+1)π
Phase difference in terms of path difference (d)
Phase difference = 2π/wavelength x path difference (2π/wave)d
or Phase difference = 360º/wavelength x path difference (360º/wave)d
Plucks at ½ 1/4 and 1/6 or any
l wavelength frequency
½ 2L v/2L
1/4 L v/L
1/6 2L/3 3v/2L
any 2L/n nv/2L
Energy at node vs anti node
Node = 0
Anti node = max
Wavelengths of closed pipe
4L/(2n-1) (only odd)
Wavelengths in open tube
2L/n (all harmonics)