There is no easy way of doing this for all usb drives, since the permissions are stored on the drive itself, and not on your computer.
But for your specific USB drive, the file permissions need to be set so that User accounts can at least write to it. Even better, just give the "Everyone" group write permissions.
Just right click the USB drive in Explorer and go to Security. Grant the Everyone group write permissions.
By default, if you format a USB drive, they typically are formatted using FAT32, which has no file security. If the USB drive is bigger than 4GB, you'll see that it is formatted in NTFS, which does have file security.
But, by default, there is only one group on formatted USB drives, which is "Everyone" group. And they are granted Full Control. So tell people to quit messing with your drives!!! (I've done this to a number of coworkers out of boredom.)