Ratio
Simplify the ratio
121:11
11:1
Solve the proportion
7/13=21/X
X=39
Solve for X
(3X+5)/4=20
25
A new "dry pump" is capable of delivering 30 gallons of liquid per minute. How long, in hours, will it take the pump to deliver 5,000 gallons? (Round to the first decimal place)
2.8 Hours
Simplify the ratio
81:9
9:1
Solve the proportion
5/25=125/X
625
Solve for X
(20-X)*100=2500
-5
The internal resistance of five cells is 1.4 ohms each. The cells are connected in series with a 2 ohm resistance. What current, in milliamps, exists in the circuit if each cell produces 1.2 volts? Round to the nearer hundredth.
I=((E)(ns))/((r)(ns)+R)
E= Voltage of one cell
ns= number of cells in series
r= internal resistance of one cell in ohms
R= resistance of external circuit in ohms
I= current in amperes
666.67mA
Simplify the ratio
8/7:5/4
32:35
Solve the proportion
8/64=2/X
16
Solve for X
Y=288
Y=B*12
B=X+16
8
What is the differential pressure in a length of pipe if the Volumetric Flowrate is 5 meters cubed per second, and is equal to the square root of the differential pressure?
25
Simplify the ratio
156/81:147/63
52:63
Solve the proportion
9/117=18/X
234
Solve for N
K=1.765
K=(L+2)/10
L=N+8
7.65
Calculate the pressure exerted by a 50kg cylinder standing on one end with a length of 2.1M and an end radius of 2cm.
P=F/A
P=Pressure
F=Force
A=Area
F=M*9.8
M=Mass in kilograms
9.8=Acceleration due to gravity in m/s²
Area of a circle = π * r²
r= radius in square meters
.961625 Newtons per square meter
Simplify the ratio
(8/9)/(6/5):(2/3)/(4/7)
40:63
Solve the proportion
121/13=21/X
2.26
If there is 4 ohms of resistance in a circuit powered by a 30V power source how many watts of power is being used?
P=IE
E=IR
225W
Mr. Paine is approached by his employer asking to replace the differential pressure sensors in the air ducts of the facility. His employer would like to replace the sensors with a high accuracy mass flow meter that can measure CFM (Cubic feet per minute) of air. If the new sensor measures 8050 CFM, what output should be expected from the Differential Pressure Sensor if the cross sectional area of the duct is 2 cubic feet?
CFM=4005*(SQRT DP) * A
CFM= Cubic feet per minute
SQRT DP= Square root of the differential pressure in inches of water column
A= Cross sectional area
1"WC