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 Post subject: Rate of Turn Equation for Aircraft.Posted: Wed, 16 May 2012 19:59:59 UTC
 S.O.S. Oldtimer

Joined: Tue, 27 Jul 2004 05:19:28 UTC
Posts: 161
Location: Houston, Texas
I have this equation: Tanx = V^2/gr or r = V^2/gtanx

How do I derive the equation of Rate of Turn using the above equation?

The equation result would be: ROT = gtan(x)/V(feet per second) The equation calculates ROT in Radians/sec.

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 Post subject: Re: Rate of Turn Equation for Aircraft.Posted: Wed, 16 May 2012 23:12:10 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12172
Location: Austin, TX
ShawnGroskreutz wrote:
I have this equation: Tanx = V^2/gr or r = V^2/gtanx

How do I derive the equation of Rate of Turn using the above equation?

The equation result would be: ROT = gtan(x)/V(feet per second) The equation calculates ROT in Radians/sec.

Without knowing what any of those variables are, who knows?

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 Post subject: Re: Rate of Turn Equation for Aircraft.Posted: Thu, 17 May 2012 03:00:56 UTC
 S.O.S. Oldtimer

Joined: Tue, 27 Jul 2004 05:19:28 UTC
Posts: 161
Location: Houston, Texas
g gravity 32.2m/s

V Feet/Sec

Tan(x) Tan of the Bank Angle

My best attempt is:

D=Vt

t = D/V and C = 2pi(r)

t = 2pi(r)/V and r=V^2/gtan(x)

Thus: t = 2pi[(V^2/gtan(x))]/V

And: t = 2(pi)V/gtan(x)

However, I think I may be missing some important steps. The ROT is not taken into account and I am not sure how to make an equation for ROT to insert into the main equation.

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 Post subject: Re: Rate of Turn Equation for Aircraft.Posted: Thu, 17 May 2012 08:04:40 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6068
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
ShawnGroskreutz wrote:
g gravity 32.2m/s

V Feet/Sec

Tan(x) Tan of the Bank Angle

My best attempt is:

D=Vt

t = D/V and C = 2pi(r)

t = 2pi(r)/V and r=V^2/gtan(x)

Thus: t = 2pi[(V^2/gtan(x))]/V

And: t = 2(pi)V/gtan(x)

However, I think I may be missing some important steps. The ROT is not taken into account and I am not sure how to make an equation for ROT to insert into the main equation.

Presumably your represents the equivalent linear velocity at radius where you have a purely rotational motion, in which case use to get .

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 Post subject: Re: Rate of Turn Equation for Aircraft.Posted: Thu, 17 May 2012 13:43:18 UTC
 S.O.S. Oldtimer

Joined: Tue, 27 Jul 2004 05:19:28 UTC
Posts: 161
Location: Houston, Texas
Ok, that was a lot easier. Did not think in that direction.

But, was I on the right track with my work, what did I need to do finish the work?

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