Need help with this engineering problem. Required informationThe power Pgenerated by a certain windmill design depends upon its diameter D, the air density p, the wind velocity V,the rotation rate 2, and the number of blades n.A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V= 40 m/s and when rotating at 4800 rev/min. What powerwill be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 13 m/s at 2000 m standardaltitude? At 2000 m altitude, p = 1.0067 kg/m3. At sea level, p = 1.2255 kg/m3.The power developed isKW.

Given data: dm=50 cmPm=2.7 kWVm=40 m/sN=4800 rpmdp=5 mVp=13 m/sρm=1.2255 kg/m3ρp=1.0067 kg/m3 Need…

Answered: Required information The power…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Problem 4: The power P developed by a wind turbine is a function of diameter D, air density p, wind speed V, and rotational rate @. Viscous effect is negligible. (4a) Rewrite the above relationship in a dimensionless form; (4b) In a wind tunnel, a small model with a diameter of 90cm, rotating at 1200 RPM (revolution per minute), delivered 200 watts when the wind speed is 12m/s. The data are to be used for a prototype of diameter of 50m and wind speed of 8 m/s. For dynamic similarity, what will be (i) the rotational speed of the prototype turbine? (ii) the power delivered by the prototype turbine? Assume air has sea-level density.
! Required information The power P generated by a certain windmill design depends upon its diameter D, the air density p, the wind velocity V, the rotation rate 2, and the number of blades n. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V= 40 m/s and when rotating at 4800 rev/min. What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 10 m/s at 2000 m standard altitude? At 2000 m altitude, p = 1.0067 kg/m3. At sea level, p= 1.2255 kg/m3. The power developed is ]KW.
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