Rate of Discharge of Water Actually Lifted by Ram Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge of Water Lifted by Ram = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time during Closure of Waste Valve of Ram/Total Time for One Cycle of Ram
qa = pi/4*ds^2*Vmax/2*t2/t
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Discharge of Water Lifted by Ram - (Measured in Cubic Meter per Second) - Discharge of Water Lifted by Ram is the rate of the discharge of water actually lifted by the hydraulic ram.
Diameter of Supply Pipe in Ram - (Measured in Meter) - Diameter of Supply Pipe in Ram is the diameter of the pipe used at the supply end of the hydraulic ram.
Maximum Velocity in Supply Pipe of Ram - (Measured in Meter per Second) - Maximum Velocity in Supply Pipe of Ram is the maximum velocity of water in the supply pipe of a hydraulic ram.
Time during Closure of Waste Valve of Ram - (Measured in Second) - Time during Closure of Waste Valve of Ram is the amount of time for which the waste valve of a hydraulic ram remains closed.
Total Time for One Cycle of Ram - (Measured in Second) - Total Time for One Cycle of Ram is the total amount of time required to complete one cycle for a hydraulic ram.
STEP 1: Convert Input(s) to Base Unit
Diameter of Supply Pipe in Ram: 0.075 Meter --> 0.075 Meter No Conversion Required
Maximum Velocity in Supply Pipe of Ram: 0.92 Meter per Second --> 0.92 Meter per Second No Conversion Required
Time during Closure of Waste Valve of Ram: 0.13 Second --> 0.13 Second No Conversion Required
Total Time for One Cycle of Ram: 0.86 Second --> 0.86 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qa = pi/4*ds^2*Vmax/2*t2/t --> pi/4*0.075^2*0.92/2*0.13/0.86
Evaluating ... ...
qa = 0.000307195706061415
STEP 3: Convert Result to Output's Unit
0.000307195706061415 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.000307195706061415 0.000307 Cubic Meter per Second <-- Discharge of Water Lifted by Ram
(Calculation completed in 00.020 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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13 Hydraulic Ram Calculators

Total Time for One Cycle of Hydraulic Ram
Go Total Time for One Cycle of Ram = Length of Supply Pipe of Hydraulic Ram*Maximum Velocity in Supply Pipe of Ram/[g]*(1/Height of Water in Supply tank+1/(Height of Water in Delivery Tank-Height of Water in Supply tank))
Rankine's Efficiency of Hydraulic Ram
Go Rankine's Efficiency = (Discharge from Valve Box*(Height of Water in Delivery Tank-Height of Water in Supply tank))/(Height of Water in Supply tank*(Discharge from Supply Tank-Discharge from Valve Box))
Rate of Discharge of Water Flowing Past Waste Valve
Go Discharge of Water Flowing Past Waste Valve = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time to Build Maximum Velocity in Supply Pipe/Total Time for One Cycle of Ram
Time during which Waste Valve Remains Closed-Hydraulic Ram
Go Time during Closure of Waste Valve of Ram = Length of Supply Pipe of Hydraulic Ram*Maximum Velocity in Supply Pipe of Ram/[g]*(1/(Height of Water in Delivery Tank-Height of Water in Supply tank))
Rate of Discharge of Water Actually Lifted by Ram
Go Discharge of Water Lifted by Ram = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time during Closure of Waste Valve of Ram/Total Time for One Cycle of Ram
Time during which Velocity in Supply Pipe Builds up from Zero to Vmax-Hydraulic Ram
Go Time to Build Maximum Velocity in Supply Pipe = (Length of Supply Pipe of Hydraulic Ram*Maximum Velocity in Supply Pipe of Ram)/(Height of Water in Supply tank*[g])
Efficiency of Hydraulic Ram given Weight and Height
Go D’ Aubuisson’s Efficiency = (Weight of Water Raised per Second*Height through which Water Raised)/(Weight of Water Flowing per Second*Height of Water in Supply tank)
Aubuisson's Efficiency of Hydraulic Ram
Go D’ Aubuisson’s Efficiency = (Discharge from Valve Box*Height of Water in Delivery Tank)/(Discharge from Supply Tank*Height of Water in Supply tank)
Dynamic Pressure Head of Hydraulic Ram
Go Dynamic Pressure Head on Waste Valve = (4*Weight of Waste Valve)/(Specific Weight of Water*pi*Diameter of Waste Valve^2)
Maximum Velocity Past Waste Valve Just before Closure
Go Maximum Velocity in Supply Pipe of Ram = sqrt(2*Acceleration due to Gravity*Dynamic Pressure Head on Waste Valve)
Energy Delivered by Hydraulic Ram
Go Energy Delivered by Hydraulic Ram = Weight of Water Raised per Second*Height through which Water Raised
Energy Supplied by Supply Tank to Hydraulic Ram
Go Energy Supplied to Hydraulic Ram = Weight of Water Flowing per Second*Height of Water in Supply tank
Efficiency of Hydraulic Ram
Go D’ Aubuisson’s Efficiency = Energy Delivered by Hydraulic Ram/Energy Supplied to Hydraulic Ram

Rate of Discharge of Water Actually Lifted by Ram Formula

Discharge of Water Lifted by Ram = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time during Closure of Waste Valve of Ram/Total Time for One Cycle of Ram
qa = pi/4*ds^2*Vmax/2*t2/t

What is a hydraulic ram?

Hydraulic ram is device with which small quantities of water can be pumped to higher levels from the available large quantity of water of low head. It works on the principle of water hammer.

How to Calculate Rate of Discharge of Water Actually Lifted by Ram?

Rate of Discharge of Water Actually Lifted by Ram calculator uses Discharge of Water Lifted by Ram = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time during Closure of Waste Valve of Ram/Total Time for One Cycle of Ram to calculate the Discharge of Water Lifted by Ram, The Rate of discharge of water actually lifted by ram formula is defined as product of area of supply pipe, half of maximum velocity and ratio of time during which waste valve remains closed to total time taken. Discharge of Water Lifted by Ram is denoted by qa symbol.

How to calculate Rate of Discharge of Water Actually Lifted by Ram using this online calculator? To use this online calculator for Rate of Discharge of Water Actually Lifted by Ram, enter Diameter of Supply Pipe in Ram (ds), Maximum Velocity in Supply Pipe of Ram (Vmax), Time during Closure of Waste Valve of Ram (t2) & Total Time for One Cycle of Ram (t) and hit the calculate button. Here is how the Rate of Discharge of Water Actually Lifted by Ram calculation can be explained with given input values -> 0.000307 = pi/4*0.075^2*0.92/2*0.13/0.86.

FAQ

What is Rate of Discharge of Water Actually Lifted by Ram?
The Rate of discharge of water actually lifted by ram formula is defined as product of area of supply pipe, half of maximum velocity and ratio of time during which waste valve remains closed to total time taken and is represented as qa = pi/4*ds^2*Vmax/2*t2/t or Discharge of Water Lifted by Ram = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time during Closure of Waste Valve of Ram/Total Time for One Cycle of Ram. Diameter of Supply Pipe in Ram is the diameter of the pipe used at the supply end of the hydraulic ram, Maximum Velocity in Supply Pipe of Ram is the maximum velocity of water in the supply pipe of a hydraulic ram, Time during Closure of Waste Valve of Ram is the amount of time for which the waste valve of a hydraulic ram remains closed & Total Time for One Cycle of Ram is the total amount of time required to complete one cycle for a hydraulic ram.
How to calculate Rate of Discharge of Water Actually Lifted by Ram?
The Rate of discharge of water actually lifted by ram formula is defined as product of area of supply pipe, half of maximum velocity and ratio of time during which waste valve remains closed to total time taken is calculated using Discharge of Water Lifted by Ram = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time during Closure of Waste Valve of Ram/Total Time for One Cycle of Ram. To calculate Rate of Discharge of Water Actually Lifted by Ram, you need Diameter of Supply Pipe in Ram (ds), Maximum Velocity in Supply Pipe of Ram (Vmax), Time during Closure of Waste Valve of Ram (t2) & Total Time for One Cycle of Ram (t). With our tool, you need to enter the respective value for Diameter of Supply Pipe in Ram, Maximum Velocity in Supply Pipe of Ram, Time during Closure of Waste Valve of Ram & Total Time for One Cycle of Ram and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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