Root also took two wickets - both caught-and-bowled - and Barbados-born Jofra Archer took 3-30 after England skipper Eoin Morgan won the toss and gave his bowlers advantage of the early cold, overcast conditions by sending the Windies in to bat.
The West Indies were eventually bowled out for 212 when Shannon Gabriel was clean bowled by Wood for a duck.
"Continuing to get out in the same way as opposed to showing better game awareness and trying to manage that because with the benefit of hindsight, getting some sort of score on the board would have allowed us to stay in the game and possibly win the game because opportunities to score are a little bit more hard than we had come up against in that series".
Test captain Root opened alongside Jonny Bairstow in place of the injured Jason Roy, who had limped off the field with a tight hamstring during the West Indies innings.
"Yeah, I think it's been one of the trends of the tournament".
"I get them two or three times a year and unfortunately it´s come now, hopefully it settles down in the next 48 hours".
"I didn't really expect (to get so many overs)". He's a quality player; credit must be given to him. The latter tends to get the better of him.
West Indies were 55-3 at that point - Woakes having yorked Evin Lewis (2) in the third over - only for Pooran and Shimron Hetmyer (39) to rebuild with a stand of 89 from 99 deliveries.
"We lost wickets at crucial stages".
"I just tried to play my role and pick up the slack if we had a good start and build a partnership". "I thought Pooran played extremely well, he was just an example of how we need to play on the pitch", he explained.
With this comfortable win, England showcased their squad's all-round ability, proving that any player could step up to do the job for them in this World Cup. But yesterday the tactic appeared desperately predictable against an England side which was prepared for such a ploy.
And then the bowling, featuring six seamers, was ordinary as Joe Root hit an even, unbeaten century off 94 balls with 11 fours in England's 213 for two off 33.1 overs.
While the England fast bowlers did their job, the West Indian quicks had an off-day.
Their wicket-taking threat was realised in getting the lines and lengths right and using the short ball as a surprise weapon.
The West Indies have now lost two of their four matches, while Monday's game with South Africa was washed-out, leaving their win against Pakistan as their sole success so far.