If you stick with a standard shutter speed, the fame rate generally influences how long the exposure is. With a standard shutter speed of double the frame rate or what is called a 180 degree shutter, the higher the frame rate, the less time each frame is exposed and thus requires more light during that time to get the same exposure. You can change the shutter speed but it will also influence the amount of crispness vs. mushiness of each frame. Too fast a shutter and you get a staccato effect. Too slow and there will be smearing and blurring in each frame. This depends on how much motion is in your shot.
Clear as mud? Good! Best to experiment and see what you like.