If you don’t have anything to display in the additional information area the tab can be removed with the code below.

		/**
 * Remove additional information tab on single product page
 */

add_filter('woocommerce_product_tabs', 'sc_woo_remove_product_tabs', 98);

function sc_woo_remove_product_tabs($tabs) {

  unset($tabs['additional_information']); 
  return $tabs;

}