{"id":3580,"date":"2022-03-09T02:48:04","date_gmt":"2022-03-08T21:18:04","guid":{"rendered":"https:\/\/drilladvice.com\/?p=3580"},"modified":"2022-03-09T02:48:04","modified_gmt":"2022-03-08T21:18:04","slug":"how-to-calculate-miter-saw-angle","status":"publish","type":"post","link":"https:\/\/drilladvice.com\/how-to-calculate-miter-saw-angle","title":{"rendered":"How to Calculate Miter Saw Angle?"},"content":{"rendered":"\n

The miter saw angle is essential for perfect workpiece joints. Miter saw angle depends on the joint angle and workpiece width; due to the various angles and lengths it’s unable to calculate quickly. So let’s see how to calculate the miter saw angles in a few steps.<\/p>\n\n\n\n

A miter saw angle depends on the joint angle and workpiece width. If you need to calculate the miter saw angle, you will need a bit of depth of knowledge about trigonometry functions. It is easy. So let’s see how to calculate the miter saw angle quickly. <\/p>\n\n\n\n

Mathematical Steps to Find Miter Saw Angle<\/h2>\n\n\n\n

So, let’s prove a common equation by using workpiece widths and angles to be cut. <\/p>\n\n\n

\n
\"miter<\/figure><\/div>\n\n\n
Eqn 01 \u21a6  \u03b1+\u03b2=\u03b8<\/strong>\nX - Face Length\n\nUsing Sin Low\nSin\u03b1 = A\u2215X       Sin\u03b2=B\u2215X  \n\nHence, \nEqn 02 \u21a6 A\u2215Sin\u03b1 = B\/Sin\u03b2<\/strong>\n\n\u03b1+\u03b2=\u03b8 Can be written as below\n\n\u03b1=\u03b8-\u03b2\nHence, \nEqn 03 \u21a6Sin\u03b1 = Sin(\u03b8-\u03b2)<\/strong>\n\nFrom Eqn 02 , and Eqn 03;<\/strong>\n\nSin(\u03b8-\u03b2) = A*Sin\u03b2\/B\n\nExpanding Sin(\u03b8-\u03b2)<\/strong>\n\nSin\u03b8Cos\u03b2-Cos\u03b8Sin\u03b2 = A*Sin\u03b2\/B\n\nDivide both sides from (\u00f7Sin\u03b2)<\/strong>\n\nSin\u03b8Cot\u03b2-Cos\u03b8 = A\/B\n\nCot\u03b2 = (A\/B + Cos\u03b8 ) \/Sin\u03b8\n\nTan\u03b2 = Sin\u03b8\/ (A\/B + Cos\u03b8 ) <\/strong>\n\n\u03b2 = Arctan(Sin\u03b8\/ (A\/B + Cos\u03b8 ) )<\/strong>\n\u03b1 = \u03b8-\u03b2<\/strong><\/code><\/pre>\n\n\n\n
After you get the angles for \u03b1<\/strong> and \u03b2<\/strong>, it will not be the miter angle. It is the angle you have to keep in your workpiece. So you need the angle to be removed.<\/p>\n\n\n\n
This can be calculated by reducing 90 degrees. <\/strong><\/p>\n\n\n\n
So, let’s see how to do it.<\/p>\n\n\n\n
**Trigonometric Tables For Sin, Cos, Tan<\/a><\/strong>  Values<\/p>\n\n\n\n
Read more about – Miter saw Parts and Functions<\/a><\/strong><\/p>\n\n\n\n
Calculating Miter Angle for 120 Degrees for 8cm and 12cm Workpiece Joints<\/h2>\n\n\n
\n
\"miter<\/figure><\/div>\n\n\n
Calculate the miter angle for joining angle \u03b8 = 120<\/strong> and workpiece width 8cm and 12cm<\/strong>.<\/p>\n\n\n\n
Eqn 01 \u21a6  \u03b1+\u03b2=120<\/strong>\nX - Face Length\n\nUsing Sin Low\nSin\u03b1 = 8\u2215X       Sin\u03b2=12\u2215X  \n\nHence, \nEqn 02 \u21a6 8\u2215Sin\u03b1 = 12\/Sin\u03b2<\/strong>\n\n\u03b1+\u03b2=120 Can be written as below\n\n\u03b1=120-\u03b2\nHence, \nEqn 03 \u21a6Sin\u03b1 = Sin(120-\u03b2)<\/strong>\n\nFrom Eqn 02 , and Eqn 03;<\/strong>\n\nSin(120-\u03b2) = 8*Sin\u03b2\/12\n\nExpanding Sin(\u03b8-\u03b2)<\/strong>\n\nSin120Cos\u03b2-Cos120Sin\u03b2 = 8*Sin\u03b2\/12\n\nDivide both sides from (\u00f7Sin\u03b2)<\/strong>\n\nSin120Cot\u03b2-Cos120 = A\/B\n\nCot\u03b2 = (8\/12 + Cos120 ) \/Sin120\n\nTan\u03b2 = Sin120\/ (8\/12 + Cos\u03b8120 ) <\/strong>\n\n\u03b2 = Arctan(Sin120\/ (8\/12 + Cos120 ) )<\/strong>\n\u03b2<\/strong> =<\/strong> Arctan(0.866\/(8\/12 - 0.5)<\/strong>\n\u03b2<\/strong> =<\/strong> Arctan(5.1)<\/strong>\n\n\u03b2<\/strong> =<\/strong> 78.90<\/strong>\n\u03b1 = \u03b8-\u03b2<\/strong>\n\n\u03b1 = 120-78.90<\/strong>\n\u03b1 = 41.1<\/strong><\/code><\/pre>\n\n\n\n
Hence Miter Angle for 8 cm workpiece = 90 – 41.1 = 48.9 Degree<\/strong><\/p>\n\n\n\n
Hence Miter Angle for 8 cm workpiece = 90 – 78.90= 11.1 Degree<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"
The miter saw angle is essential for perfect workpiece joints. Miter saw angle depends on the joint angle and workpiece width; due to the various angles and lengths it’s unable … <\/p>\n
Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":3584,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[],"_links":{"self":[{"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/posts\/3580"}],"collection":[{"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/comments?post=3580"}],"version-history":[{"count":0,"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/posts\/3580\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/media\/3584"}],"wp:attachment":[{"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/media?parent=3580"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/categories?post=3580"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/drilladvice.com\/wp-json\/wp\/v2\/tags?post=3580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}