PAT Equations Flashcards
Arithmetic series sum
Sn=
Sn = (n(2a+(n-1)d)/2a
Geometric series sum
Sn=
Sn = a(1-r^n)/(1-r)
Sum to infinity S=
What conditions is this true for?
S = a/(1-r)
Geometric series that converges (-1<r<1)
What is the formula for an even function?
Simplifying in integration top tips?
Even function:
f(x)=f(-x)
Simplifying, multiply from 0 to a by two if the interval is equal either side of the y axis
What is the formula for an odd function?
Simplifying in integration top tips?
Odd function:
f(-x)=-f(x)
Simplifying, it will be zero if the interval is equal either side of the y axis
Moment=?
Force x perpendicular distance from line of action of force to point of rotation/axis
Momentum=
Units?
p=mv
kgm/s
(related to momentum)
F=?
F=change in momentum/time
What is an impulse?
Equation?
Units?
Change in momentum
F x (change in time)
Ns
W=?
What about at an angle of x?
W=Fs
W=Fscosx
(Springs)
F=?
F=kx
For springs in parallel:
What happens to the spring constant?
kt=k1+k2+…
(It adds up, gets bigger)
For springs in series:
What happens to the spring constant?
1/kt = 1/k1 + 1/k2 +…
(It gets smaller)
For springs in parallel:
What happens to extension?
It gets smaller
For springs in series:
What happens to extension?
It gets bigger
(For springs)
Ep = ?
Ep= 1/2 Fx and F=kx
So…
Ep= 1/2 kx^2
frequency= ?
1/T (time period)
Constructive interference:
nλ
Destructive interference:
(n+1/2)λ
Double slit:
w= (λD)/s
Single slit:
dsinx = nλ
Snells law:
n1sinx1 = n2sinx2
n (refractive index) =?
n =c(speed of light in vacuum) /cs (speed of light in substance)