This is a great question. The impact of the industrial revolution is profound not only in Europe, but also the rest of the world. In addition, there are so many things that could be possibly mentioned. So, this answer will have to be limited to only a few points.
First, the industrial revolution reshaped the culture of Europe by shifts of population. With the industrial revolution, there were many more factories, which increased urbanization to unprecedented heights. This fact alone caused a big cultural shift, such as migrations, breaking up of families, and the like. At the same time, cities got bigger and the countryside got smaller.
Second, industrialisation also brought about wealth to many business magnates, but it also caused people to ask new questions about labor laws and even things like child labor laws.
Finally, Europe got much more technologically advanced. This began to create a new shift of mindset. This would continue and pay the way to a greater trust in science and progress.