The phrase "acquired the capability" is correct and usable in written English.
You can use it when discussing the process of gaining a skill, ability, or resource necessary to perform a task or function.
Example: "After months of training, the team has finally acquired the capability to handle complex projects independently."
Alternatives: "gained the ability" or "developed the skill".
"We have acquired the capability to confront them," he said.
In the years since, United Nations officials say, Iraq has acquired the capability to produce the high-grade, dry anthrax of the appropriate particle size.
On a critical timing issue — whether any attack against Iran should come at the point it acquired the capability to develop a nuclear weapon rather than later, if it manufactured one — Mr. Obama was conspicuously silent.
Now, a new archaeological find illuminates the construction of Polynesian canoes, while a study of ancient climate patterns bears on a long-standing debate about when Polynesians acquired the capability to sail into the wind.
It acquired the capability of undertaking planetary exploration missions when the Polar Satellite Launch Vehicle (PSLV) was commissioned in 1995 and embarked on an ambitious program for study of planets in the solar system at the turn of the century.
When potato tubers were treated with low concentrations of AA preparation (from 10−7 to 10−8 M), no necrosis or PA were formed, but tissues acquired the capability for rapid mobilization of the whole complex of protective reactions in response to the subsequent contact with the late blight pathogen, P. infestans.
Although humans have acquired the capabilities of spoken language, the role of facial expressions in social interaction remains considerable.
Therefore, common sense says that Israel should not let the Palestinians acquire the capability to settle old scores.
Acquiring the capability to differentiate between wheat and chaff in this arena is going to be critical".
On its current path, North Korea will acquire the capability to deliver a nuclear weapon against the U.S. homeland on Trump's watch.
Iran is rapidly acquiring the capability to produce nuclear weapons, and the prospects for preventing this nightmare scenario are shrinking by the day.
