Jump to content
Light-O-Rama Forums

Need a math wiz!


Jim Hans

Recommended Posts

To all my smart decorator friends or those with smart kids.... 25 years ago I could have figured this out myself but now, well, it's easier to ask.

I have 3 columns in front of my house that I want to put Christmas lights on. They are 18 feet tall and 9" in diameter. I want to spiral lights around them using 2 inch spacing. How many feet of lights will I need per column? And if you're really smart... how many 100, 70 and/or 50 bulb strings will I need for each column???

I'm sure there is a simple formula somewhere but......

Thanks in advance.

Link to comment
Share on other sites

pie r squared =  about 64 inch circumference  6 wraps per foot X 18 = 108  X 64 divided by 12 inches per foot = 576 ft per column.   About 24 ft per string = 24 strings per column

Link to comment
Share on other sites

I am not a math wiz... but a rough calculation....

 

Circumference is 3.1415 * diameter

 

Circumference = 28.27 inches.

 

18 ft = 216 inches

 

Length for 1 column =  (216/2) * 28.27 = 3053 inches   or 254 ft. per column

 

Since you will be spiraling up you will need a little bit more to compensate for the angle.

Link to comment
Share on other sites

One of us is wrong.  It's probably me.

Pi*r squared is for the area of a circle.

I am not a math wiz... but a rough calculation....

 

Circumference is 3.1415 * diameter

 

Circumference = 28.27 inches.

 

18 ft = 216 inches

 

Length for 1 column =  (216/2) * 28.27 = 3053 inches   or 254 ft. per column

 

Since you will be spiraling up you will need a little bit more to compensate for the angle.

And that is the heart of the question... how much more because of the spiraling? I figured the circumference easy enough but it isthe spiraling up calculation that I am looking for.

Link to comment
Share on other sites

You probably also need to account for the light string not bending at the surface of the column, but somewhere within the thickness of the strand of lights. I would guess that half the average diameter of the strand would do it. Maybe repeat the calculations as if the column was 1/8 inch larger?

Link to comment
Share on other sites

You probably also need to account for the light string not bending at the surface of the column, but somewhere within the thickness of the strand of lights. I would guess that half the average diameter of the strand would do it. Maybe repeat the calculations as if the column was 1/8 inch larger?

Link to comment
Share on other sites

Sqrt(28.27^2+2^2)=28.34 per turn.

Thanks! To make sure I understand the formula... if I want to do it with 3" spacing the formula would be Sqrt(circumference^2+3^2)=

Yes???

Link to comment
Share on other sites

2" spacing would take 108 wraps, 3" spacing will take 72 wraps or about 168 ft.

String lengths vary greatly from vendor to vendor so you would just have to pick one and do the math.

 

Going to 4" spacing brings you down to 54 wraps or about 126 ft.

Link to comment
Share on other sites

Seems to me the math will take longer than to just start wrapping lights.  When you get to the last one, count the number of bulbs used and get the appropriate length you need.

 

MikeH

Link to comment
Share on other sites

Thanks... I have the formula now and it is pretty easy to figure it out. The nice thing about the formula is I can solve for spacing based on the total length of lights I will be using. Now that I know how many more lights I will need to do this I am patiently waiting for the sales!!

Link to comment
Share on other sites

I have columns as well and found it easier to hang the light strings vertically in front of the columns. This is the part people see anyway. You will use less strings and have more light towards the front, easy to figure how many strings, and easier setup than spiraling around. Looks the same from the road.

Link to comment
Share on other sites

I have columns as well and found it easier to hang the light strings vertically in front of the columns. This is the part people see anyway. You will use less strings and have more light towards the front, easy to figure how many strings, and easier setup than spiraling around. Looks the same from the road.

I am planning on doing three colors with five sections per color so going up and down won't work.

Link to comment
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
×
×
  • Create New...