The calculated distance (air line) between Ālbū Kamāl and Sinjār is approximately 140 miles respectively 225 kilometers.
By car or train, the actual journey to Sinjār is certainly longer, as only the direct route (as the crow flies) between Ālbū Kamāl and Sinjār has been calculated here.
Air line (approximately)
225 kilometers
122 nautical miles