Why did the Industrial Revolution firmly root in Great Britain between 1750 and 1850?

There are two ways to interpret this question.

One is to ask why the Industrial Revolution was able to occur in Britain.  The answer to this is that the British had the economic and political conditions, as well as the mineral and other natural resources that were needed to make industry possible on a large scale.

The second way to look at this is to ask why it was so successful--why people accepted industrialization and came to build their entire society around it.  In this case, the answer is that it was simply the best way of making money and of making goods on a large scale.  Of course, the Industrial Revolution had serious negative effects on society.  At the same time, though, it was able to improve society in the long run by making more goods that people could use and by producing more money for the country as a whole.  In these ways it, in the long-term at least, improved the quality of life for the average Briton.  For this reason, it took root firmly and came to be accepted as the way to run an economy.

Why did the Industrial Revolution occur in Britain between 1750-1900?

This is a great question and there is no one reason why the Industrial revolution started in England in the 18th century. But it can be stated that the Industrial Revolution was one of the most important developments in early modern history. With this stated, let me give you a few reason why it all began in England.

First, there was strong intellectual strand in England. This was an important point, because the Industrial Revolution would not have gotten underway without developments in science and engineering. For example, steam-power fueled by coal was central to the industrial development in textiles.

Second, England was a great maritime nation and power. For this reason they were able to see the world and gain valuable insights. Moreover, it gave the people a wideness to their vision.

Third, Protestantism was in some way more amenable to science than Catholicism. The reason for this is twofold. First, Protestants protested against traditionalism. In this respect, they were more cutting edge in their mentality. Second, Protestantism was an intellectual movement, which meant there was a emphasis on the importance of the mind which ties in to science and technology developments.