Tyrone moved four points clear at the top of NFL Division Two after this one-sided encounter at Healy Park.
The hosts dominated from the start and Kyle Coney fired over a superb point as Tyrone put up the first six scores.
Peter Harte netted from a penalty just before the break to leave the Red Hands 1-6 to 0-2 ahead at half-time.
Martin Penrose smashed in a second goal just after the restart and Tyrone eased to victory, while Westmeath's Mark Gorman was sent-off late on.
Tyrone were a class apart and never had to reach top gear against the side sitting bottom of the division.
Coney slotted over three classy points early in the game while Owen Mulligan, Penrose and Damian McCaul were also on target.
Harte hit the roof of the net with his 33rd minute penalty, awarded after a foul on Patrick McNeice.
Penrose's clinical finish into the Westmeath net, in the opening seconds of the second half, ended the game as a contest.
Westmeath substitute Gorman was dismissed for two yellow cards in the final minute as Tyrone maintained their 100% record in the league campaign.
"We played well as a team and it was nice to get a few scores," said man-of-the-match Coney.
Tyrone: P McConnell, A McCrory, Justin McMahon, PJ Quinn, C McCarron, P Harte, D McCaul, M Murphy, Joe McMahon, R McNabb, Mark Donnelly, P McNeice, K Coney, M Penrose, O Mulligan.