Mathematics - Math And Physics Formulas.pdf

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Formulas - Math & Physics
FORMULA SHEET (updated Apr.23/97)
DEREK PAYNE
s = d / t
a av = V V / t
D = V o t+ 1 / 2 at 2 V D = D f -D o
V av = V f +V o
2
V f 2 = V o 2 +2aD
V av = V D / t
V f = V o +at
V ins(tan) = V D / t
R = √F y 2 +F x 2
tanθ = F y
Fx = Fcosθ Fy = Fsinθ
F x
ΣF = ma (w = mg)
Ff = µ k N
Ff = µ s N τ = Fl
θ rad = s / r
a r = V 2 /r = (rω) 2 /r = rω 2
V = rω
d→r = π/180
r→d = 180/π rpm→rad/min = 2π/1 rev
P = ρgh
P T = ρgh+P a ρ = m / V
F B = ρgV
Pa = F / A ( N / m2 )
(V = A V h)
F B = w a -w w
P t = P g +P atm
W = Fd
V KE+ V PE+ V W+ V Q+ V V+ V ME = 0
PE = mg V h
Q = cm V T
KE = 1 / 2 mV 2 (J)
R ser = R 1 +R 2
1 = 1+1
V = IR
(V)(Ω) = (W)
(A)(Ω) = (V)
R par R 1 R 2
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a /sinA = b /sinB = c /sinC
b 2 = a 2 +c 2 -ac cosB
c 2 = a 2 +b 2 -ab cosC
a 2 = b 2 +c 2 -bc cosA
P rec = 2(l+w)
A = lw
V = lwh
LA = 2(lh+lw+wh)
P cir = 2πr
A = πr 2
V sph = 4 / 3 πr 3
A = 4πr 2
P sq = 4s
A = s 2
V cube = s 3
A tri = 1 / 2 bh
V pyr = 1 / 3 Bh
LA = 1 / 2 ps
A trap = h / 2 (B+b)
V cone = 1 / 3 πr 2 h
LA = πrs
A cyl = 2πr 2 +2πrh
V = πr 2 h
V prism = Bh
x = -b±√b 2 -4ac
y = ax 2 +bx+c (a≠0) y = mx+b (m≠0)
m = V y / V x
2a

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