Mailing List lml@lancaironline.net Message #18163
From: <Sky2high@aol.com>
Sender: Marvin Kaye <marv@lancaironline.net>
Subject: Tip Speed Query
Date: Sun, 23 Mar 2003 22:59:08 -0500
To: <lml>


Let's say we have an airplane traveling at 200 Kts with a 6 foot diameter (D) prop operating at 2500 rpm. 

An ordinary calculation would show the tip (per minute) to be Pi x D x rpm or

6 x Pi x 2500 = 47124 ft per min or 535 mph.

But, the tip is describing a helix because, at 200 Kts, the plane is moving forward at 1,215,223 feet per hour.  The length of the helix path is:

Square Root ( (Pi x D)squared + distance squared)

(Pi x 6) squared = 355.1

distance of one revolution = 1215223 / 60 = 20253 / 2500 = 8.1 feet per revolution.

distance squared = 65.6

And the square root of the sum = SQRT (420.7) = 20.5 feet per revolution or

20.5 x 2500 = 51,250 feet per minute or

51250 x 60 = 3,075,000 feet per hour or 582 mph.

Aren't we getting close to Mach 1?

What about when we Race at 2700 rpm?

What about a IV or a Legacy?

Scott Krueger
Sky2high@aol.com
LNC2 N92EX IO320 Aurora, IL (KARR)
Subscribe (FEED) Subscribe (DIGEST) Subscribe (INDEX) Unsubscribe Mail to Listmaster