There are so many things that video can convey to an audience that an image just won't convey.
If your company is coming out with a new revolutionary product, you can share this in video. If you are reaching a milestone, whether it is the number of clients you have or the number of years you have been in business, video can convey this extremely well. If you would like to hold a competition, or would like to ask your customers to create content for your site, using video is the ideal medium to go through in order to connect your customers and the business in one location.
Using video simply to show an employee being silly at work won't have an impact on your followers; in fact, it might have a negative impact if the video does not add any value to them. But, if you are discussing new products which are going to be released, upcoming sale events, closeout deals or other information that video content will convey to them, in an enjoyable and easy to understand manner, then why not use it to reach out to your followers?
Fan appreciation videos are even great, as they show your customers you are thankful that they have chosen to do business with you, and you can always offer them some kind of incentive to continue doing business with you in the future through these short video clips.