Question | Answer |
FB = pgVdisplaced | buoyancy |
P = 2Y/r | pressure (employing surface tension) |
P = pgh | pressure |
ar = w^2 r | radial acceleration |
0 = 1/2 at^2 | angles and |
P + pgy + 1/2 pv^2 | bernoulli's |
F = (P1-P2) A
F = 1/2 p(v2^2 - v1^2)A | another Bernoulli's I guess |
dP = pv^2/2 | change in pressure |
F = dP l w | surface area and pressure to find force |
F = nvA/L | finding force with viscosity, velocity, area, and length |
Q = dP/r | discharge with Pressure and radius |
Q = (pi d^2/4)v | flow rate with radius and velocity |
specific gravity | just compares the density of something to the density of water. so basically will it float? |
pascals principle | pressure anywhere at the same depth under the surface will be the same |
v = ∆x/∆t | find average velocity
find change in distance
find change in time |
a = ∆v/∆t | find acceleration
find change in velocity
find change in time |
v = v0 + at | find final velocity
find original velocity
find acceleration
find time or change in time |
vavg = v0+v/2 | find average velocity
find final velocity
find original velocity |
x = x0 + v0t +1/2 at^2 | find position
find original position
find original velocity
find time
find acceleration |
v^2 = v0^2 + 2a(x − x0) | find final velocity
find original velocity
find acceleration
find change in position, position, original position |
R = v0^2/2g sin^2 2θ | find R (radius of projectile motion)
find original velocity
find angle |
h =v0^2/2g sin^2 θ | find max height (of a projectile)
find original velocity
find angle |
Fnet = ma | find net force
find mass
find acceleration
Newton's 2nd law |
FBA = −FAB | every action has an equal and opposite reaction, Newton's 3rd law |
W = mg | find weight
find mass
find gravity |
0 ≤ fs ≤ µsN | find force of static friction
find coefficient of static friction
find Normal force |
fk = µkN | find force of kinetic friction
find coefficient of kinetic friction
find Normal force |
F/A = Y ∆L/L | find force
find area
find pressure (force/area)
find Young's modulus (tensile or elastic modulus)
find change in length
find original length |
Fk = −kx | find force
find spring constant
find compression of spring |
W = F d cos θ | find work
find force
find displacement
find angle |
Wnet = −∆PE = ∆KE | find net work
find change in potential energy
find change in kinetic energy |
KE = 1/2 mv^2 | find kinetic energy
find mass
find volume |
PEk = 1/2 kx^2 | find potential energy of a spring
find spring constant
find displacement |
PEg = mgh | find potential energy of gravity
find mass
find height |
KEi + PEi + Wnc = KEf + PEf | conservation of energy
find initial kinetic energy
find initial potential energy
find work due to nonconservative forces
find final kinetic energy
find final potential energy |
P = W/∆t | find power
find work
find elapsed time |
Eff = Wout/Ein | find efficiency
find work output
find energy input |
FG = G mM/r^2 | find gravitational force
find gravitational constant
find mass of object 1 (small)
find mass of object 2 (large)
find radius of rotation (distance between objects' centers) |
I = Favg ∆t | find moment of inertia
find average force
find change in time |
p = mv | find momentum
find mass
find velocity |
Fnet = ∆p/∆t | Linear momentum
find net force
find change in momentum
find change in time |
v1 − v2 = v′2 − v′1 | conservation of velocity when masses are equal |
θ = s/r | find angle
find arc length
find radius |
v = rω | find velocity
find radius
find angular velocity |
f = 1/T | Hertz
find frequency
find period |
ω = 2πf = 2π/T | find angular velocity
find frequency
find period |
ac = v^2/r = rω2 | find centripedal acceleration
find velocity
find radius
find angular velocity |
Fc = m v^2/r = mrω^2 | find centrifugal force
find mass
find velocity
find radius
find mass
find angular velocity |
KEtrans = 1/2 mv^2 | find translational kinetic energy
find mass
find volume |
KErot = 1/2 Iω^2 | find rotational kinetic energy
find moment of inertia
find angular velocity |
Ipoint = MR^2 | find moment of inertia
find mass
find radius |
Idisk = 1/2 MR^2 | find moment of inertia
find mass
find radius |
Isphere = 2/5 MR^2 | find moment of inertia
find mass
find radius |
τ = rF sin θ = r⊥F | find torque
find radius
find angle
find perpendicular force |
ω = ∆θ/∆t | find angular velocity
find angle
find time |
α = ∆ω/∆t | find angular acceleration
find angular velocity
find time |
τ = Iα | find torque
find moment of inertia
find angular acceleration |
L = Iω | find angular momentum
find moment of inertia
find angular acceleration |
τ = ∆L/∆t | find torque
find change in angular momentum
find change in time |
P = F/A | find pressure
find force
find area |
Pgauge = P − Patm | find gauge pressure
find specific pressure
find atmospheric pressure |
ρ = M/V | find density
find mass
find volume |
Q = ∆V/∆t = Av | find discharge
find change in volume
find change in time
find cross sectional area
find velocity |
Q = ∆Pπr4/8ηL | find discharge
find change in pressure
find radius of tube
find viscosity
find length of tube |
Power = P Q | find power
find absolute pressure
find discharge (flow rate) |
A · v = constant | find cross sectional Area
find velocity |
P + ρgy + 1/2 ρv^2 = constant | Bernoulli's
find absolute pressure
find density
find height
find velocity |
FST = γL | find force of surface tension
find surface tension
find length over which the force acts |
P = 4γ/R | more surface tension
find change in pressure (pin-pout)
find surface tension
find radius of curvature |
h = 2γ/ρgr | find height
find surface tension
find density
find radius |
RE = ρvL/η = 2ρvr | find reynolds number
find density
find length
find velocity
find viscosity
find radius |
xrms = √ 2Dt | diffusion
find root mean square distance
find Diffusion constant
find time |
x(t) = A cos ωt and xmax = A | find displacement as a function of time
find Amplitude
find time
find 2pi/period |
v(t) = −Aω sin ωt and vmax = Aω | find velocity as a function of time
find amplitude
find 2pi/period
find time
find maximum velocity |
a(t) = −Aω^2 cos ωt and amax = Aω2 | find acceleration as a function of time
find Amplitude
find 2pi/period
find time |
E = 1/2 kx^2 + 1/2 mv^2 = 1/2 kx^2max = 1/2mv^2max | find energy
find force constant
find displacement from equilibrium |
v = √T/µ with µ =m/L | find velocity
find period |
y(x, t) = A cos(ωt ± kx) with − for left moving wave | find
find amplitude
find 2pi/T * t
find constant
find displacement |
ω = 2π/T and k = 2π/λ | find period (T)
find k (constant)
find wavelength |
v = λf = ω/k | find velocity of sound
find wavelength
find wave frequency
find 2pi/T
find rigidity constant |
λn = 2L/n, fn = nv/2L with n = integer | string
find wavelength
find integer
find length
find frequency |
λn = 4L/n, fn = nv/4L with n = an odd integer | open-open pipe
find wavelength
find integer (count full nodes & antinodes)
find length of pipe
find speed of sound
find frequency |
λn = 2L/n, fn = nv/2L with n = any integer | open-closed pipe
find wavelength
find integer (count nodes)
find length of pipe
find speed of sound
find frequency |
fobs = fs v/v±vs with − for src moving towards obs | stationary observer
find observed frequency
find source frequency
find speed of sound
find speed of source |
fobs = fs v±vobs/v with + for obs moving towards src | moving observer
find observed frequency
find source frequency
find speed of sound
find speed of observer |
fbeat = |f1 − f2| | find beat frequency
find frequency 1
find frequency 2 |
I = P/A = P/4πr2 | find intensity
find power
find area
find radius |
β = 10 log I/I0 in dB with I0 = 10^−12 W/m2 | find sound intensity level in decibels
find I0 (reference intensity, lowest threshold of hearing)
find sound intensity |