It capped another great day for the Brits on the track, which also saw Jason Kenny breaking the Olympic record as he progressed in the men’s sprint.
Fellow Brit Callum Skinner was first to break the Olympic record, but he held it for just a few minutes before Kenny clocked 9.551 in his flying lap.
Both men then progressed through the match sprints to reach the last eight, as Kenny’s hopes of his own fifth Olympic gold medal remain on course.
In the team pursuit, Australia snuck into the final in the first heat – having qualified slower of the two, the Aussies trailed Denmark through much of their heat.
Denmark still held an advantage going into the final lap, with both teams down to three riders, but the Danes’ final two riders lost contact and it proved costly.
While the front rider finished first, the crucial third man was behind his Australian counterpart as they Antipodeans narrowly reached the final.
Great Britain were far more convincing though, changing their tactics from the day before when they appeared to start a little too quickly.
They led from the front in terms of qualification for the final and, in fact, were rapidly closing in on the New Zealand team before Wiggins swung off after a big turn.
Unlike the previous night, however, where Wiggins had slowed slightly before swinging off, the quartet had paced it to perfection with Burke, Clancy and Doull stopping the clock in 3.50.570.