"goes on a rant" is a correct and usable phrase in written English.
You can use it when someone is expressing their opinion in an overly passionate and aggressive way. For example, "My friend went on a rant about the state of the economy."
It's great fun when David goes on a rant.
In the middle of the first of the 20 installments, while we're being introduced to the fictional Los Angeles dive Club Rockville and the super-cute, squeaky-clean kids who hang out there, the show's sensitive male geek, Hunter, goes on a rant.
In the video, an unnamed Arsenal fan goes on a rant to the amusement of a small crowd of supporters.
Loic Le Meur is asking Twitter to add an authority filter to their search (he also goes on a rant about Sprint, but ignore that).
Each time we write about T-Mobile flippin' the switches to turn on their "4G speed" (they can't say its "4G" for technical reasons, but it's pretty dang fast — thus, they always say "4G Speed") HSPA+ network, someone in the comments goes on a rant about how it's taking waaaay to long to show up in the Silicon Valley.
When Michael tells Stanley that the firing was actually a joke, Stanley is angered and goes on a rant, yelling and insulting Michael.
So one time I went on a rant about an older cousin, a Halloween party.
During one 2015 episode featuring Pompeo, Gaffney went on a rant about President Barack Obama, suggesting he had an "affinity" for Islamist militants.
Hosting the Wall Street Journal's Stephen Moore, Beck went on a rant about Franklin Delano Roosevelt, who he called "one evil son of a bitch".
Earlier this month, Maine governor Paul LePage went on a rant about drug dealers coming into the state.
