Problem Statement: 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. Part [A] - Write this relationship in dimensionless form? Part [B] - A model windmill, of diameter 50 cm, develops 2.5 kW at sea level when V = 38 m/s and when rotating at 4600 rev/min. What power will be developed by a geometrically similar prototype (n is the same for both mills), of diameter 5 m, in winds of 10 m/s at 1800 m standard altitude?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Use image below to solve Parts A and B
Homework Part A and Part B
Problem Statement: 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 N, and the number of
blades n.
Part [A] - Write this relationship in dimensionless form?
Part [B] - A model windmill, of diameter 50 cm, develops 2.5 kW at sea level when V =38
m/s and when rotating at 4600 rev/min. What power will be developed by a
geometrically similar prototype (n is the same for both mills), of diameter 5 m, in winds of
10 m/s at 1800 m standard altitude?
HINT - Pay attention to the Numbers Highlighted AND BOLDED
Transcribed Image Text:Homework Part A and Part B Problem Statement: 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 N, and the number of blades n. Part [A] - Write this relationship in dimensionless form? Part [B] - A model windmill, of diameter 50 cm, develops 2.5 kW at sea level when V =38 m/s and when rotating at 4600 rev/min. What power will be developed by a geometrically similar prototype (n is the same for both mills), of diameter 5 m, in winds of 10 m/s at 1800 m standard altitude? HINT - Pay attention to the Numbers Highlighted AND BOLDED
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