Cordal Distance and Basic Math Applications

In this video, the host introduces a new series called 'Shop Math' and focuses on calculating cordal distance. The video explains the concept of cordal distance, particularly for those without access to CAD systems or digital readouts. The host demonstrates the calculation using a scientific calculator and provides practical examples with different numbers of circles. The video also discusses the importance of accuracy and potential errors in manual calculations. The host concludes by inviting viewers to engage and previews the next topic on dividing heads for gear cutting.

What is the main focus of the 'Shop Math' video series?

• Programming for CNC machines

• History of mathematics

• Basic math applications in a machine shop

• Advanced calculus for engineers

Who is mentioned as a reference for similar content?

• Leonardo da Vinci

• Isaac Newton

• Albert Einstein

• Joe Pie

What is 'cordal distance' used for?

• Measuring the circumference of a circle

• Calculating the area of a circle

• Determining the spacing of cords around a pitch circle diameter

• Finding the radius of a circle

What is a PCD in the context of this video?

• Primary Circle Diameter

• Partial Circle Diameter

• Perfect Circle Diameter

• Pitch Circle Diameter

What tool is recommended for calculating cordal distance manually?

• A protractor

• A ruler

• A basic scientific calculator

• A smartphone calculator

Why is a scientific calculator preferred over a phone calculator?

• It is more accurate

• It is cheaper

• It is more durable

• It has more functions suitable for math

What is the formula for calculating cordal distance?

• PCD plus sine of 180 divided by the number of holes

• PCD divided by sine of 180 times the number of holes

• PCD times cosine of 180 divided by the number of holes

• PCD times sine of 180 divided by the number of holes

In the example with five circles, what is the calculated cordal distance?

• 50 mm

• 56.6 mm

• 40 mm

• 47 mm

What is the diameter of each circle used in the examples?

• 60 mm

• 70 mm

• 80 mm

• 90 mm

In the example with six circles, what is the calculated cordal distance?

• 47 mm

• 40 mm

• 56.6 mm

• 50 mm