The calculated distance (air line) between Stoke-on-Trent and Weston-super-Mare is approximately 119 miles respectively 192 kilometers.
By car or train, the actual journey to Weston-super-Mare is certainly longer, as only the direct route (as the crow flies) between Stoke-on-Trent and Weston-super-Mare has been calculated here.
Air line (approximately)
192 kilometers
104 nautical miles