Numerical (Water)

A Pelton wheel has a mean bucket speed of 35 m/s with a jet of water flowing at the rate of 1 m³/s under a head of 270 m. The buckets deflect the jet through an angle of 170°. Calculate the power delivered to the runner and the hydraulic efficiency of the turbine. Assume co-efficient of velocity as 0.98.

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Pelton Wheel Turbine Calculation Problem Statement A Pelton wheel has a mean bucket speed of 35 m/s with a jet […]

A Pelton wheel has a mean bucket speed of 35 m/s with a jet of water flowing at the rate of 1 m³/s under a head of 270 m. The buckets deflect the jet through an angle of 170°. Calculate the power delivered to the runner and the hydraulic efficiency of the turbine. Assume co-efficient of velocity as 0.98. Read More »

In a hydraulic coupling, the speeds of the driving and driven shafts are 800 r.p.m. and 780 r.p.m. respectively. Find: (a) the efficiency of the hydraulic coupling, and (b) the slip of the coupling.

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Hydraulic Coupling Efficiency Calculation Problem Statement In a hydraulic coupling, the speeds of the driving and driven shafts are 800

In a hydraulic coupling, the speeds of the driving and driven shafts are 800 r.p.m. and 780 r.p.m. respectively. Find: (a) the efficiency of the hydraulic coupling, and (b) the slip of the coupling. Read More »

Find the efficiency of a hydraulic crane, which is supplied 400 litres of water under a pressure of 490.5 N/cm² for lifting a weight of 98.1 kN through a height of 10 m.

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Hydraulic Crane Efficiency Calculation Problem Statement Find the efficiency of a hydraulic crane, which is supplied 400 litres of water

Find the efficiency of a hydraulic crane, which is supplied 400 litres of water under a pressure of 490.5 N/cm² for lifting a weight of 98.1 kN through a height of 10 m. Read More »

A hydraulic lift is required to lift a load of 98.1 kN through a height of 12 m, once in every 100 seconds. The speed of the lift is 600 mm/s. Determine : (a) power required to drive the lift, (b) working period of lift in seconds, and (c) idle period of the lift in seconds.

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Hydraulic Lift Cycle Analysis Problem Statement A hydraulic lift is required to lift a load of 98.1 kN through a

A hydraulic lift is required to lift a load of 98.1 kN through a height of 12 m, once in every 100 seconds. The speed of the lift is 600 mm/s. Determine : (a) power required to drive the lift, (b) working period of lift in seconds, and (c) idle period of the lift in seconds. Read More »

The water is supplied at the rate of 30 litres per second from a height of 4 m to a hydraulic ram, which raises 3 litres per second to a height of 18 m from the ram. Determine D’ Aubuisson’s and Rankine’s efficiencies of the hydraulic ram.

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Hydraulic Ram Efficiency Calculation Problem Statement The water is supplied at the rate of 30 litres per second from a

The water is supplied at the rate of 30 litres per second from a height of 4 m to a hydraulic ram, which raises 3 litres per second to a height of 18 m from the ram. Determine D’ Aubuisson’s and Rankine’s efficiencies of the hydraulic ram. Read More »

The water is supplied at a pressure of 15 N/cm² to an accumulator, having a ram of diameter 2.0 m. If the total lift of the ram is 10 m, determine : (a) the capacity of the accumulator, and (b) total weight placed on the ram 

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Hydraulic Accumulator Calculation Problem Statement The water is supplied at a pressure of 15 N/cm² to an accumulator, having a

The water is supplied at a pressure of 15 N/cm² to an accumulator, having a ram of diameter 2.0 m. If the total lift of the ram is 10 m, determine : (a) the capacity of the accumulator, and (b) total weight placed on the ram  Read More »

The diameters of the fixed ram and fixed cylinder of an intensifier are 100 mm and 250 mm respectively. If the pressure of the water supplied to the fixed cylinder is 25 N/cm², find the pressure of the water flowing through the fixed ram.

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Hydraulic Intensifier Pressure Calculation Problem Statement The diameters of the fixed ram and fixed cylinder of an intensifier are 100

The diameters of the fixed ram and fixed cylinder of an intensifier are 100 mm and 250 mm respectively. If the pressure of the water supplied to the fixed cylinder is 25 N/cm², find the pressure of the water flowing through the fixed ram. Read More »

A hydraulic press has a ram of 150 mm diameter and plunger of 30 mm. The stroke of the plunger is 250 mm and weight lifted is 600 N. If the distance moved by the weight is 1.20 m in 20 minutes, determine : (a) the force applied on the plunger, (b) power required to drive the plunger, and (c) number of strokes performed by the plunger.

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Hydraulic Press Performance Analysis Problem Statement A hydraulic press has a ram of 150 mm diameter and plunger of 30

A hydraulic press has a ram of 150 mm diameter and plunger of 30 mm. The stroke of the plunger is 250 mm and weight lifted is 600 N. If the distance moved by the weight is 1.20 m in 20 minutes, determine : (a) the force applied on the plunger, (b) power required to drive the plunger, and (c) number of strokes performed by the plunger. Read More »

A hydraulic press has a ram of 300 mm diameter and a plunger of 50 mm diameter. Find the weight lifted by the hydraulic press when the force applied at the plunger is 40 N.

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Hydraulic Press Force Calculation Problem Statement A hydraulic press has a ram of 300 mm diameter and a plunger of

A hydraulic press has a ram of 300 mm diameter and a plunger of 50 mm diameter. Find the weight lifted by the hydraulic press when the force applied at the plunger is 40 N. Read More »

The cylinder of a single-acting reciprocating pump is 125 mm in diameter and 250 mm in stroke. The pump is running at 40 r.p.m. and discharge water to a height of 15 m. The diameter and length of the delivery pipe are 100 mm and 30 m respectively. If a large air vessel is fitted in the delivery pipe at a distance of 1.5 m from the centre of the pump, find the pressure head in the cylinder : (i) At the beginning of the delivery stroke, and (ii) In the middle of the delivery stroke. Take the co-efficient of friction = .01.

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Reciprocating Pump with Air Vessel Analysis Problem Statement The cylinder of a single-acting reciprocating pump is 125 mm in diameter

The cylinder of a single-acting reciprocating pump is 125 mm in diameter and 250 mm in stroke. The pump is running at 40 r.p.m. and discharge water to a height of 15 m. The diameter and length of the delivery pipe are 100 mm and 30 m respectively. If a large air vessel is fitted in the delivery pipe at a distance of 1.5 m from the centre of the pump, find the pressure head in the cylinder : (i) At the beginning of the delivery stroke, and (ii) In the middle of the delivery stroke. Take the co-efficient of friction = .01. Read More »

The diameter and stroke length of a single-acting reciprocating pump are 100 mm and 200 mm respectively. The lengths of suction and delivery pipes are 10 m and 30 m respectively and their diameters are 50 mm. If the pump is running at 30 r.p.m. and suction and delivery heads are 3.5 m and 20 m respectively, find the pressure head in the cylinder : (i) at the beginning of the suction and delivery stroke, (ii) in the middle of suction and delivery stroke, and (iii) at the end of the suction and delivery stroke. Take atmospheric pressure head = 10.3 m of water and co-efficient of friction = .009 for both pipes.

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Reciprocating Pump Full Cycle Analysis Problem Statement The diameter and stroke length of a single-acting reciprocating pump are 100 mm

The diameter and stroke length of a single-acting reciprocating pump are 100 mm and 200 mm respectively. The lengths of suction and delivery pipes are 10 m and 30 m respectively and their diameters are 50 mm. If the pump is running at 30 r.p.m. and suction and delivery heads are 3.5 m and 20 m respectively, find the pressure head in the cylinder : (i) at the beginning of the suction and delivery stroke, (ii) in the middle of suction and delivery stroke, and (iii) at the end of the suction and delivery stroke. Take atmospheric pressure head = 10.3 m of water and co-efficient of friction = .009 for both pipes. Read More »

A single-acting reciprocating pump has piston diameter 15 cm and stroke length 30 cm. The centre of the pump is 5 m above the water level in the sump. The diameter and length of the suction pipe are 10 cm and 8 m respectively. The separation occurs if the absolute pressure head in the cylinder during suction stroke falls below 2.5 m of water. Calculate the maximum speed at which the pump can run without separation. Take atmospheric pressure head = 10.3 m of water.

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Maximum Pump Speed to Prevent Separation Problem Statement A single-acting reciprocating pump has piston diameter 15 cm and stroke length

A single-acting reciprocating pump has piston diameter 15 cm and stroke length 30 cm. The centre of the pump is 5 m above the water level in the sump. The diameter and length of the suction pipe are 10 cm and 8 m respectively. The separation occurs if the absolute pressure head in the cylinder during suction stroke falls below 2.5 m of water. Calculate the maximum speed at which the pump can run without separation. Take atmospheric pressure head = 10.3 m of water. Read More »

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