Name_____________________
MET 161 Engineering Calculation Homework
1 ft = 0.3048 meter 1 Newton = 0.2248 lbf (force) 1 gal = 231 in
3
1 mile = 5280 ft 1 gallon = 3.785 liter 1 atm = 14.696 psi
100 cm = 1 meter 1 kg = 2.205 lbm (mass) 1 Acre = 43560 ft
2
1 inch = 2.54 cm 1 hp = 550 ft lbf/s 1 radians = 0.1592 rev
1 BTU = 777.6 ft lbf 1 meter = 39.37 inches 1 bar = 10
5
Pa
1 kg = 0.0685 slug 1° Kelvin = 1.8° Rankin 1 mile = 1.609 km
1 Stoke = 1 cm
2
/s 1 Poise = 1 dyne sec/cm
2
1 Newton = 10
5
dyne
Calculate all quantities to 4 S.F.
1. Compute fluid velocity, v (ft/s) where:
volumetric flow, Q= 100 gpm
v = 4Q_ conductor diameter, D = 3 in
πD2
2. Compute power (kW) where:
force, F = 3500 N
power = F * v velocity, v = 100 km/hr
3. Compute Reynolds number, NR where:
(dimensionless) volumetric flow, Q= 100 gpm
diameter, D = 3 in
N
R = Q * D * w weight density, w = 0.9*62.425 lbf/ft3
ν * g * A absolute viscosity, ν = 0.1858 lbfs/ft2
gravity, g = 32.2 ft/s2
Area, A = πD2/4
4. Compute shaft diameter, D (in) where:
power = 25 kW
D = (power/ ω/ shear modulus)⅓ angular velocity, ω = 1750 rpm
shear modulus = 3000 lbf/in2
5. Pressure Head, h (ft) where:
pressure, p = 1 MPa
h = p/w weight density, w = 56 lbf/ft3
Answers: 1. v=4.539 ft/s; 2. power=97.22 kW; 3. NR=10.66; 4. D=0.7384 inches; 5. h=372.9 ft
