Math and Phys Equations

Question 1

Kinetic Energy

Answer 1

1/2 m v2

Question 2

Gravitational Potential Energy

Answer 2

mgh

Question 3

Elastic Potential Energy

Answer 3

1/2 k x2

Question 4

Total mechanical energy

Answer 4

U + K

potential + kinetic

Question 5

Conservation of mechanical energy

Answer 5

ΔE = ΔU + ΔK = 0

Question 6

Work (mechanical)

Answer 6

F d

Question 7

Work (isobaric gas-piston system)

Answer 7

P * ΔV

Question 8

Power

Answer 8

W/t = ΔE/t

Question 9

Work-Energy Theorem

Answer 9

Wnet = ΔK = Kf - Ki

Question 10

Mechanical Advantage

Answer 10

Fout / Fin

Question 11

Efficiency

Answer 11

Wout / Win =

load * load distance) / (effort * effort distance

Question 12

Density

Answer 12

m/V

Question 13

Weight of a volume of fluid

Answer 13

Fg = ρVg

Question 14

Specific gravity

Answer 14

ρ / (1g/ cm3)

Question 15

Absolute pressure

Answer 15

P0 + ρgz

Question 16

Gauge pressure

Answer 16

P(guage) = P - P(atm) = (P0 = pgz) - P(atm)

Question 17

Pascal’s principle

Answer 17

P = F1/A1 = F2/A2

F2 = F1 (A2/A1)

Question 18

Buoyant force

Answer 18

F(buoy) = p(fluid) * V(fluiddisplaced) * g = ρ(fluid) * V(submerged) * g

Question 19

Poisseuille’s Law

Answer 19

ΔP = 8μLQ / πR^4

ΔP is the pressure difference between the two ends,
L is the length of pipe,
μ is the dynamic viscosity,
Q is the volumetric flow rate,
R is the pipe radius.

Question 20

Critical Speed

Answer 20

vc = NRη / ρD

Question 21

Continuity equation

Answer 21

Q = v1 * A1 = v2 * A2

Question 22

Bernoulli’s equation

Answer 22

P1 + ½ ρv(1)^2 + ρgh(1) = P2 + ½ ρv(2)^2 + ρgh(2)