GATE ME 2019 Set 2 — Question 58
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumVelocity Diagrams & Euler EquationHydraulic Turbines & PumpsTurbomachineryCentrifugal & Reciprocating Pumps
Turbomachinery → Hydraulic Turbines & Pumps → Centrifugal & Reciprocating Pumps
Last updated
Question
An idealized centrifugal pump (blade outer radius of ) consumes power while running at . The entry of the liquid into the pump is axial and exit from the pump is radial with respect to impeller. If the losses are neglected, then the mass flow rate of the liquid through the pump is _______ kg/s (round off to two decimal places).
Correct answer
8 to 8.2
Solution
Given:
Outer radius,
Power,
Speed, Angular velocity,
Peripheral velocity at exit, For axial entry, whirl velocity at inlet .
For radial exit with respect to impeller, the relative velocity is radial, which means the blade angle at exit . In this case, the whirl velocity at exit .Power consumed by the pump (neglecting losses):
Rounding to two decimal places, the mass flow rate is .
Outer radius,
Power,
Speed, Angular velocity,
Peripheral velocity at exit, For axial entry, whirl velocity at inlet .
For radial exit with respect to impeller, the relative velocity is radial, which means the blade angle at exit . In this case, the whirl velocity at exit .Power consumed by the pump (neglecting losses):
Rounding to two decimal places, the mass flow rate is .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Hydraulic Turbines & Pumps
2026 Set 1 Q58An inward flow reaction turbine, having an outer diameter of , runs at…2025 Set 1 Q53Consider a Pelton wheel of diameter. The magnitude of relative velocity of water at…2021 Set 1 Q58A single jet Pelton wheel operates at . The mean diameter of the wheel is…2021 Set 2 Q59A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine…2020 Set 2 Q28The values of enthalpies at the stator inlet and rotor outlet of a hydraulic turbomachine stage are…