Assume that the life of a roller bearing follows a Weibull distribution with parameters 3 = 2.3 and o = 10,000 hours. (a) Determine the probability that a bearing lasts at least 8,000 hours. (Round your answer to 4 decimal places.) (b) If 10 bearings are in use and failures occur independently, what is the probability that all 10 bearings last at least 8,000 hours? (Round your answer to 4 decimal places.) (c) If ß = 2, determine the mean time until failure of a bearing. (Round your answer to 1 decimal place.)

Assume that the life of a roller bearing follows a Weibull distribution with parameters 3 = 2.3 and o = 10,000 hours. (a) Determine the probability that a bearing lasts at least 8,000 hours. (Round your answer to 4 decimal places.) (b) If 10 bearings are in use and failures occur independently, what is the probability that all 10 bearings last at least 8,000 hours? (Round your answer to 4 decimal places.) (c) If ß = 2, determine the mean time until failure of a bearing. (Round your answer to 1 decimal place.)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A 150 mm shaft running in a journal bearing supports a load of 10 kN and has a speed of 1200 rpm. If the coefficient of friction of the journal bearings is 0.015, which of the following is the heat generated due to friction?Group of answer choices 2.70 kW 7.06 kW 1.41 kW 2.45 kW
For the following inspection opening, calculate the correct values for A, A1, A2, A3, A4, A5 The design pressure is 900 kPa.g and the design strengths for the metals of shell and branch are 133MPa A= a. 3545.24 b. 3354.63 c. 3454.36 d. 3445.42 A1= a. 1377.45 b. 1673.71 c. 1773.82 d. 1534.53 A2= a. 721.63 b. 733.32 c. 718.59 d. 738.93 A3 = a. 600 b. 500 c. 450 d. 550 A4 = a. 211 b. 214 c. 220 d. 216 A5= a. 346 b. 356 C. 366 d. 336
A nut which is connected to a lead screw is moved in a horizontal plane against a force of 100kN at a speed of 4mm/sec by electric motor powered screw. The following data is given Single start square thread screw Pitch of the screw = 6mm Outlet diameter of the screw = 40mm Co-efficient of friction of the screw thread = 0.15 Efficiency of the motor = 85% Determine the power required and efficiency of the screw
....A 150-mm diameter shaft supports a load of 12 kN. The shaft runs in a bearing whose length is 1.5 times the shaft diameter. Which of the following is the bearing pressure? Group of answer choices 0.127 MPa 0.296 MPa 0.356 MPa 0.170 MPa
Please show a clear step-by-step solution. Thank you! What is the proportion of the alteration in length for Spring A to Spring B, supposing that both springs carry an equal amount of load? Springs A and B have the identical qualities, with the exception that Spring A has 12 times the number of turns as Spring B.
The armature shaft of a 50 kW, 580 rpm electric motor, mounted on two bearings A and B, is shown in Fig. The total magnetic pull on the armature is 5 kN and it can be assumed to be uniformly distributed over a length of 400 mm midway between the bearings. The shaft is made of steel with an ultimate tensile strength of 770 N/mm2 and yield strength of 580 N/mm2. Determine the shaft diameter using the ASME code if, kb=1.5 and kt=1.0 Assume that the pulley is keyed to the shaft.
The shaft below is an engine component that is rotating. It is machined from an unknown ductile material with a measured ultimate tensile strength of 700 MPa. Answer the questions below assuming a desired reliability of 99% and a fatigue fraction, f, of 0.9. Round all values and answers to 2 decimal places Determine the maximum stress in the shaft due to the applied loading (hint: what is the maximum moment?) Estimate the endurance limit (hint: what is the relationship between Se and Sut and don’t forget any necessary modifying factors.) Determine the number of cycles to failure.
A designer is selecting a ball bearing for a particular application, which requires the bearing to operate for 24 hours/day and 180 days at a speed of 200 rpm. What is the required catalog load rating (in lbf) for the reliability of 0.90 if the radial design load is 450 lbf, assuming the catalog life is 106 revolutions? choose answer below 09*10^3 0.9*10^3 2.44*10^3 4.8*10^3
State and explain the theories of failures applicable to Ductile
A double square thread power screw is to raise a load of 70 kN. The screw has a mean diameter of 33.375 mm and a pitch of 6 mm. The coefficient of thread friction and collar friction are 0.13 and 0.10, respectively. The collar mean diameter is 90 mm and the screw turns at 90 rpm. Which of the following is the torque required to overcome the collar friction? Group of answer choices 630000 N mm 315000 N mm 819000 N mm 409500 N mm
In mechanical design, what are the failure theories used? Define each
What is the difference between a solid and a hollow shaft in mechanical engineering?