Save
or

or

taken

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

focusNode
Didn't know it?
click below

Knew it?
click below
Don't Know
Remaining cards (0)
Know
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size     Small Size show me how

# T207 exam equations

### T207 exam equations 2018

TitleEquation
Change in thermal energy (B4P19)(pdf P811) ... m = Mass, c = Specific heat capacity of the material, ΔT = Change in temperature ΔQ = mcΔT
Linear model of thermal expansion (B1p88)(PDFp88) ... X = Dimension, ΔT = Change in temperature, α = Linear temperature coefficient ΔX = X-X_0 = X_0αΔT
Bernoulli's equation (B4p111)(PDFp903) … Ev=Energy per unit volume, p=Pressure, ρ=Density, v=Speed, g=Gravity, h=Height Ev=p+0.5ρv^2+ ρgh
Magnetic force (B3b2p23)(PDFp639) ... B=Magnetic flux density, I=current, l=length, θ=Angle current makes with magnetic field F=BIl sinθ
Newton’s second law of motion (Precise) (B3b1p81)(PDFp545) ... d(mv) = Rate of change of momentum, dt = Rate of change of time F = d(mv)/dt
Newton’s second law (Simple) (B3b1p81)(PDFp545) ... F = Force, m = Mass, a = Acceleration F = ma
Frictional Force (B3b1p117)(PDFp581) ... F=Force, µ=Coeffiecient of friction, R=Reaction force F=µR
Aero drag equation (B3b2p92)(PDFp708) ... FD = Drag force, ρ = Density, v = Speed, C_D = Drag coefficient, A = Wing area FD=(0.5ρv^2)C_D A
Aero Lift equation (B3b2p91)(PDFp707) ... FD = Drag force, ρ = Density, v = Speed, C_L = Lift coefficient, A = Wing area FD = (0.5ρv^2)C_L A
Thin Ring or thin walled hollow cylinder (B3b1p100)(PDFp564) … m = mass, r = radius I = Σmr^2
Moment of inertia of a thick Ring or thin walled hollow cylinder (B3b1p100)(PDFp564) â¦ m = mass, r_o = radius outer, r_i = radius inner I = 0.5m(r_o^2+r_i^2)
Archand Wear Equation (B4p153)(PDFp945) … k = Wear coefficient, Q = Measured volume of material worn, per metre of sliding distance, H = Hardness of the softer surface, W = Normal load k = QH/W
Fracture Mechanics Equation (B5b2p52)(PDFp1202) … σ = Stress, a = Crack length, Y = E.g. Long edge crack in a finite-width plate etc. K₁= Yσ√(πa)
Fracture Toughness (B2b2p77)(PDFp367) … G_c = Toughness, E = Young's modulus, a_c = Critical crack length K_c = √(EG_c) = σ√(πa_c)
Total Kinetic Energy (B4p17)(PDFp808) … (Sum of trans’l and rot’l kinetic energies), m = Mass, v = Speed, I = Moment of inertia, ω = Angular speed K_total = 0.5mv² + 0.5Iω²
Natural Log of Arrhenius's Law (B1p113)(PDFp113) … r = Rate, Ea = Activation energy, k = Boltzmann constant, T = Temperature (y=mx + c) ln r = (-Ea/k)1/T + lnr_o
Mass Flow Rate (B4p112)(PDFp903) … ρ = Density, v = Speed, A = Area m = ρvA
Engineers Bending Equation (B4p112)(PDFp903) … M = Bending moment, I = Second moment of area, σ = Stress, y = distance, E = Young's modulus, R = Radius of curvature M/I = σ/y = E/R
Power – Linear (B3b1p106)(PDFp570) … F = Force, v = Velocity P = Fv
Electrical Power (B3b2p36)(PDFp651) … I = Current, V = Voltage P = IV
Power - Rotation (B3b1p106)(PDFp570) … Γ = Torque, ω = Angular speed P = Γω
Power Lost to Heat (B3b2p47)(PDFp662) … I = Current, R = Resistance Ptherm = I^2R
Volumetric Flow Rate (B4p112)(PDFp903) … v = Speed, A = Area Q = vA
Arrhenius's Law (B1p107)(PDFp107) … r = Rate, Ea = Activation energy, k = Boltzmann constant, T = Temperature r = r_o exp(-Ea/kT)
Kinematic Equations for Rectilinear Motion (B3b1p31)(PDFp495) … s = Distance, u = Initial speed, a = Acceleration, t = Time s = ut + 0.5at^2
Period of Oscillation (B3b1p42)(PDFp506) … T = Time, ω = Angular speed T = 2π/ω
Homologous Temperature (B5b2p77)(PDFp1226) … T = Operating temperature, T_m = Melting point, (If TH value is above 0.4Tm then creep will occur) T_H = T/T_m
Gravitational Potential Energy (B4p17)(PDFp808) … m = Mass, g = Gravity, h = Height U_grav = mgh
Tangential Speed (B3b1p18)(PDFp482) … r = Radius, ω = Angular speed v = rω
Kinematic Equations for Rectilinear Motion (B3b1p31)(PDFp495) … v = Final speed, u = Initial speed, a = Acceleration, t = Time v = u + at
Kinematic Viscosity (B4p164)(PDFp955) … η = Dynamic viscosity, ρ = Density v = η/ρ
Kinematic Equations for Rectilinear Motion (B3b1p31)(PDFp495) â¦ v = Final speed, u = Initial speed, a = Acceleration, s = displacement v^2 = u^2 +2as
Acceleration â Rotational (B3b1p106)(PDFp570) â¦ dÏ = Change in angular speed, dt = Change in time α = dω/dt
Shear Drag Torque due to the Shear Force (B4p117)(PDFp908) â¦ (Linked to Petrov's Equation by P = ÎÏ ) Î· = Dynamic viscosity, r = Shaft radius, L = Axial bearing length, Ï = Shaft speed, C_r = Radial clearance Î = 2ÏÎ·rÂ³LÏ/C_r
Torque Second Law (B3b1p106)(PDFp570) … I = Moment of inertia, α = Angular acceleration Γ = Iα
Motor Torque (B3b2p37)(PDFp652) … Γ_s = Stall torque, ω = Angular speed, ω_n = No load speed Γ = Γ_s(1 - ω/ω_n)
Strain Equation (B2b2p63)(PDFp355) â¦ Îµ = Strain, Îl = Extension, l = Original length ε = Δl/l
Thermo-dynamic Efficiency (B4p24)(PDFp815) … T_1 = Temperature in, T_2 = Temperature out η = 1 - (T_2/T_1)
Motor Efficiency Equation (B3b2p47)(PDFp662) … P_out = Power out, P_in = Power in η = P_out/P_in
Angular Displacement (B3b1p29)(PDFp493) … ω = Final angular speed, ω_i = Initial angular speed, α = Angular acceleration θ = (ω² - ω_i²)/2α
Net Displacement (B3b1p27)(PDFp491) … ω = Angular speed, t = Time θ = ωt
Toughness (B2b2p77)(PDFp367) … G_c = Toughness, E = Young's modulus, a = Crack length σ = √EG_c/πa
Stress Equation (B2b2p63)(PDFp353) … σ = Stress, F = Force, A = Area σ = F/A
Hoop Stress in a Thin Cylinder … p = Pressure, r = Radius, t = Wall thickness σ_hoop = pr/t
Hall-Petch Equation … σ_t = Strength, σ_0 = Constant for a given material, K = Constant for a given material, d = Grain Size σ_t = σ_₀ + kd^(-1/2)
Shear Stress (B4p162)(PDFp953) … τ = Applied shear stress, G = Shear modulus of the material, γ = Shear strain τ = Gγ
Shear Stress (B4p163)(PDFp954) … τ = Applied shear stress, η = Coefficient of dynamic viscosity, dγ/dt = Rate of shear strain τ = η dγ/dt
Angular Speed (B3b1p29)(PDFp493) … ω_i = Initial angular speed, α = Angular acceleration, t = Time ω = ω_i + αt
Bending moments. (B2b1p32)(PDFp166) ... W=point load, L= distance between supports V_A and V_B, a= distance between V_A and W, similar for b V_A = (Wb)/L and V_B = (Wa)/L
Created by: Bucks884

Voices

Use these flashcards to help memorize information. Look at the large card and try to recall what is on the other side. Then click the card to flip it. If you knew the answer, click the green Know box. Otherwise, click the red Don't know box.

When you've placed seven or more cards in the Don't know box, click "retry" to try those cards again.

If you've accidentally put the card in the wrong box, just click on the card to take it out of the box.

You can also use your keyboard to move the cards as follows:

• SPACEBAR - flip the current card
• LEFT ARROW - move card to the Don't know pile
• RIGHT ARROW - move card to Know pile
• BACKSPACE - undo the previous action

If you are logged in to your account, this website will remember which cards you know and don't know so that they are in the same box the next time you log in.

When you need a break, try one of the other activities listed below the flashcards like Matching, Snowman, or Hungry Bug. Although it may feel like you're playing a game, your brain is still making more connections with the information to help you out.

To see how well you know the information, try the Quiz or Test activity.

Pass complete!
 "Know" box contains: Time elapsed: Retries:
restart all cards