GATE ME 2014 Set 1 — Question 49
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumRolling & Sliding BearingsMachine ElementsMachine Design
Machine Design → Machine Elements → Rolling & Sliding Bearings
Last updated
Question
A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm. Both bearing bore diameter and length are 40 mm. If radial clearance is and bearing is lubricated with an oil having viscosity 0.03 Pa.s, the Sommerfeld number of the bearing is _______
Correct answer
0.75 to 0.85
Solution
The Sommerfeld number () is defined as:Given:
Load N
Speed rpm rps
Diameter mm mm m
Length mm m
Radial clearance m
Viscosity Pa.sProjected pressure PaCalculating :Thus, the Sommerfeld number is 0.8, which falls within the range [0.75, 0.85].
Load N
Speed rpm rps
Diameter mm mm m
Length mm m
Radial clearance m
Viscosity Pa.sProjected pressure PaCalculating :Thus, the Sommerfeld number is 0.8, which falls within the range [0.75, 0.85].
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 Machine Elements
2026 Set 1 Q19A closely coiled helical compression spring of mean coil diameter and wire diameter , is…2026 Set 1 Q21A rectangular plate is perfectly welded to a gusset plate with parallel fillet weld joints as shown…2026 Set 1 Q34A steel plate having yield strength of 550 MPa, is subjected to biaxial state of stress as…2025 Set 1 Q22The yield stress of a metal in uniaxial tension is MPa. According to von Mises yield…2025 Set 1 Q30A shaft carries a helical spur gear. Which one of the following bearings can NOT be used to support…