Trains.com

Subscriber & Member Login

Login, or register today to interact in our online community, comment on articles, receive our newsletter, manage your account online and more!

Scale miles per hour - is this formula right?

9139 views
22 replies
1 rating 2 rating 3 rating 4 rating 5 rating
  • Member since
    September 2010
  • 400 posts
Scale miles per hour - is this formula right?
Posted by Mister Mikado on Saturday, July 15, 2017 11:33 PM

Example: 60 miles per hour is 88 feet per second.  For the HO scale equivalent do I divide that by 87?  That's ~ one foot per second.

Thanks!

  • Member since
    April 2003
  • 305,205 posts
Posted by Anonymous on Sunday, July 16, 2017 4:12 AM

Let´s see -

1 mile equals 5,280 ft.

A train travelling at 60mph therefore travels 60 x 5,280 ft = 316,800 ft.

1 hour equals 3,600 seconds.

316,800ft. / 3,600 seconds equal 88ft./sec.

An HO train doing 60 scale mph therefore should travel 1.010333ft/sec.

I guess you are correct!

Whistling

 

  • Member since
    September 2004
  • From: Dearborn Station
  • 24,281 posts
Posted by richhotrain on Sunday, July 16, 2017 4:40 AM

Mister Mikado

Example: 60 miles per hour is 88 feet per second.  For the HO scale equivalent do I divide that by 87?  That's ~ one foot per second.

Thanks!

 

Pretty close. Actually, it is 1.0115 feet per second, or just over 12 1/8 inches per second.  Cool

Since 60 MPH equals 1 mile per minute, and since there are 5,280 feet in a mile, the HO scale conversion is 5,280/87=60.69 feet per minute, or 1.0115 feet per second (60.69/60).

Rich

Alton Junction

  • Member since
    July 2006
  • From: Phoenix, AZ
  • 1,835 posts
Posted by bearman on Sunday, July 16, 2017 4:47 AM

You can always find a conversion program on-line.  Plug in the appropriate numbers and voila, instant answer.  

Bear "It's all about having fun."

  • Member since
    February 2005
  • From: Southwest US
  • 12,914 posts
Posted by tomikawaTT on Sunday, July 16, 2017 5:23 AM

For HO scale, one foot per second is well within the allowable error for automotive speedometers.  I have posted this a few times on this forum.

Chuck (Modeling Central Japan in September, 1964 - all measurements metric)

  • Member since
    April 2003
  • 305,205 posts
Posted by Anonymous on Sunday, July 16, 2017 5:29 AM

This is what I like about participating in a forum - you get at least three answers to your question, all different, none of them wrong!

Laugh

  • Member since
    September 2004
  • From: Dearborn Station
  • 24,281 posts
Posted by richhotrain on Sunday, July 16, 2017 5:34 AM

Sir Madog

This is what I like about participating in a forum - you get at least three answers to your question, all different, none of them wrong!

Laugh

 

Good point, Ulrich. The reason, of course, is that mathematically, there are a number of ways to develop a formula to reach a similar conclusion.

Rich

Alton Junction

  • Member since
    February 2017
  • 282 posts
Posted by NYBW-John on Sunday, July 16, 2017 7:29 AM

In HO, one scale mile is 60  feet. I know that's not exact but close enough for government work. So one foot per second means 60 feet per minute or a mile a minute. That's 60 mph.

  • Member since
    January 2014
  • 1,500 posts
Posted by ROBERT PETRICK on Sunday, July 16, 2017 9:40 AM

Okay, but if you guys are gonna pick nits, I'd point out that the HO scale factor is 1:87.1 . . . or thereabouts.

Carry on.

Robert 

 

LINK to SNSR Blog


Moderator
  • Member since
    June 2003
  • From: Northeast OH
  • 17,248 posts
Posted by tstage on Sunday, July 16, 2017 10:09 AM

And if you want to be even MORE accurate in your approximate calculations...HO is 87.1 rather than 87. Stick out tongue

I actually have a chart up on the wall for calculating s[cale]MPH on the fly.  Just pick two points where you know the distance and time the nose of the locomotive between those two points.  Glance up on the chart to find its time and you get a fairly accurate approximation of how fast your train is going in sMPH.  I calculate it using the following formula:

[ft/sec] / 5,280(ft/mi) x 3,600 (sec/hr) x 87.1 (HO) = [sMPH]

Tom

https://tstage9.wixsite.com/nyc-modeling

Time...It marches on...without ever turning around to see if anyone is even keeping in step.

  • Member since
    September 2004
  • From: Dearborn Station
  • 24,281 posts
Posted by richhotrain on Sunday, July 16, 2017 10:52 AM

ROBERT PETRICK

Okay, but if you guys are gonna pick nits, I'd point out that the HO scale factor is 1:87.1 . . . or thereabouts.

Carry on.

Robert 

 

 

Thereabouts, 1:87.0857142 to be precise.

Rich

Edit Note: Oops, I missed the decimal. It is there now.

Alton Junction

  • Member since
    October 2006
  • From: Western, MA
  • 8,571 posts
Posted by richg1998 on Sunday, July 16, 2017 11:04 AM

There are speed calculators online.

Below is one.

http://www.stonysmith.com/railroad/speedcalc.asp

Rich

If you ever fall over in public, pick yourself up and say “sorry it’s been a while since I inhabited a body.” And just walk away.

  • Member since
    February 2002
  • From: Reading, PA
  • 30,002 posts
Posted by rrinker on Sunday, July 16, 2017 2:16 PM

richhotrain

 

 
ROBERT PETRICK

Okay, but if you guys are gonna pick nits, I'd point out that the HO scale factor is 1:87.1 . . . or thereabouts.

Carry on.

Robert 

 

 

 

 

Thereabouts, 1:870857142 to be precise.

 

Rich

 

Silly people, mixing metric and English measurement in the same scale. (3.5mm to the foot). Also can I borrow your electron microsope to see a scale that small?

Sure you mean 1:87.08571428606 (I found a calculation of 3.5mm to inches that gave me enough decimal places to actually go that far out)

Over my 25 foot wall length, this extra bit after the 87 means I can run a whole 2 extra scale feet of track.

                                            --Randy


Modeling the Reading Railroad in the 1950's

 

Visit my web site at www.readingeastpenn.com for construction updates, DCC Info, and more.

  • Member since
    September 2004
  • From: Dearborn Station
  • 24,281 posts
Posted by richhotrain on Sunday, July 16, 2017 2:56 PM

rrinker
 
richhotrain
 
ROBERT PETRICK

Okay, but if you guys are gonna pick nits, I'd point out that the HO scale factor is 1:87.1 . . . or thereabouts.

Carry on.

Robert  

Thereabouts, 1:870857142 to be precise. 

Rich 

Silly people, mixing metric and English measurement in the same scale. (3.5mm to the foot). Also can I borrow your electron microsope to see a scale that small?

Sure you mean 1:87.08571428606 (I found a calculation of 3.5mm to inches that gave me enough decimal places to actually go that far out)

Over my 25 foot wall length, this extra bit after the 87 means I can run a whole 2 extra scale feet of track.

                                            --Randy

LOL

So noted, so edited.

Rich

Alton Junction

  • Member since
    July 2006
  • From: Pittsburgh, PA
  • 1,796 posts
Posted by JoeinPA on Sunday, July 16, 2017 6:39 PM

Reminds me of the discussion of significant figures in my college physical chemistry class several milennia ago.

Joe

  • Member since
    December 2001
  • From: AU
  • 713 posts
Posted by xdford on Sunday, July 16, 2017 8:23 PM

The number of inches travelled in 5 seconds in HO is equal to the MPH the train is travelling at, therefore 12 inches per second is equal to 60 inches in 5 seconds.

I have a number of spikes in the middle of a section of track at 5 inch spacing to represent survey pegs. They have a light coat of white paint so when I start at the first one, I count 5 seconds and check the pegs I have passed.  7 Pegs = 35smph and I can guess the fraction between markers.

I have a fuller explanation on a web site http://www.xdford.digitalzones.com/modelrr10.htm which covers other scales using the peg method...

Hope this helps

Cheers from Australia

Trevor

 

  • Member since
    August 2005
  • 124 posts
Posted by ss122 on Monday, July 17, 2017 9:05 AM

Mister Mikado

Example: 60 miles per hour is 88 feet per second.  For the HO scale equivalent do I divide that by 87?  That's ~ one foot per second.

Thanks!

 An easy rule of thumb I use is that a 40 foot car will pass a fixed spot in one second when travelling 28 mph. A 50 foot car will pass a fixed spot in one second when travelling 35 mph. You can easily to the math for additional seconds, 80 foot cars, etc.
 
I found this on a table on the back of a Staten Island Rapit Transit Employee Timetable.

  • Member since
    October 2006
  • From: Western, MA
  • 8,571 posts
Posted by richg1998 on Monday, July 17, 2017 1:20 PM

I keep one online calculator in my iPhone and iPad. Does not get any easier.

Google has always been a great help.

I remember pre-Google and going to a local library for back issues of Model Railroader and looking up info. Today we have it so easy.

If you ever fall over in public, pick yourself up and say “sorry it’s been a while since I inhabited a body.” And just walk away.

  • Member since
    February 2002
  • From: Mpls/St.Paul
  • 13,892 posts
Posted by wjstix on Monday, July 17, 2017 5:04 PM

I assume of course that no one is actually trying to time a train travelling only 1 foot...at least not if it's going fairly fast! The longer the sample area, the more accurate the result, so setting up something at least say 6' long and working from there would be better. As it happened (not planned), my old layout's continous loop worked out to (IIRC) 997 meters, so was easy to treat that as one kilometer and time how long it took the train to travel the 1k. and figure the speed from that. 1 min. = 60 kph, 2 min. = 30 kph, etc.

I suppose easiest of all is to use an engine that "talks" and tells you it's speed by pressing the correct function button. Several of my old BLI engines have that, not sure if the newer ones still do that?

Stix
  • Member since
    February 2007
  • 472 posts
Posted by Graham Line on Monday, July 17, 2017 5:34 PM

Let's approach it another way. If a 50-foot box car (HO scale) takes two second to pass a fixed point on the railroad, how fast is it going? What "scale speed" does that represent?

  • Member since
    July 2009
  • From: lavale, md
  • 4,678 posts
Posted by gregc on Monday, July 17, 2017 5:55 PM

Graham Line
Let's approach it another way. If a 50-foot box car (HO scale) takes two second to pass a fixed point on the railroad, how fast is it going?

(50 ft / 2 sec) * (3600 sec / hour) * (mile / 5280 ft) = 17 mph

        1 mph     17.6 in/sec      0.2 scale in/sec
        5 mph     88.0 in/sec      1.0 scale in/sec
       10 mph    176.0 in/sec      2.0 scale in/sec
       15 mph    264.0 in/sec      3.0 scale in/sec
       20 mph    352.0 in/sec      4.0 scale in/sec
       25 mph    440.0 in/sec      5.1 scale in/sec
       30 mph    528.0 in/sec      6.1 scale in/sec
       35 mph    616.0 in/sec      7.1 scale in/sec
       40 mph    704.0 in/sec      8.1 scale in/sec
       45 mph    792.0 in/sec      9.1 scale in/sec
       50 mph    880.0 in/sec     10.1 scale in/sec
       55 mph    968.0 in/sec     11.1 scale in/sec
       60 mph   1056.0 in/sec     12.1 scale in/sec

greg - Philadelphia & Reading / Reading

  • Member since
    January 2017
  • From: Southern Florida Gulf Coast
  • 18,255 posts
Posted by SeeYou190 on Monday, July 17, 2017 6:39 PM

I had two well marked points 60" apart on the old layout. I used these to calculate scale speed with a target of 30 MPH for normal operation.

.

I was amazed at how slow that was! I ran trains way too fast for too long.

.

-Kevin

.

Living the dream.

  • Member since
    July 2006
  • From: Phoenix, AZ
  • 1,835 posts
Posted by bearman on Wednesday, July 19, 2017 4:21 AM

I have got to admit that carrying the answer out past 2 decimals is a bit off the wall.

Bear "It's all about having fun."

Subscriber & Member Login

Login, or register today to interact in our online community, comment on articles, receive our newsletter, manage your account online and more!

Users Online

There are no community member online

Search the Community

ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT
Model Railroader Newsletter See all
Sign up for our FREE e-newsletter and get model railroad news in your inbox!