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Phys final
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| 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 |