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mech-eng
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I can not establish the mathematical reason why when a wheel of radius r takes a full revolution it moves 2*pi*r. Can someone help me.
Have a nice day.
Have a nice day.
olivermsun said:Well, the circumference (length measured around the outside of the wheel) is 2*pi*r, so if the wheel doesn't slip on the ground then it has to move forward 2*pi*r to complete a full revolution.
As to why the circumference of a circle C = 2*pi*r … I think this is just one of those cases where "the world just works that way." I mean, pi is just defined as the constant such that pi = C / (2r).
A wheel is a circular object that rotates around an axle, allowing for movement and transportation.
A wheel works by rotating around an axle, which reduces friction and allows for smoother movement. The circular shape also distributes weight evenly, making it easier to move heavy objects.
The invention of the wheel is attributed to the ancient Mesopotamian civilization around 3500 BC. However, the concept of a wheel may have been independently discovered in other cultures as well.
The wheel has many uses, including transportation (such as on cars, bicycles, and trains), for machines and tools (such as pulleys and gears), and for recreational purposes (such as on roller skates and skateboards).
The wheel has evolved significantly over time, from being made of stone and wood to modern versions made of rubber and metal. It has also been adapted for use in various industries and technologies, making it an essential invention for human progress and development.