The phrase "a general acceptance of" is correct and usable in written English.
It can be used when discussing a widespread agreement or acknowledgment of a particular idea, concept, or practice.
Example: "There is a general acceptance of the need for sustainable practices in modern business."
Alternatives: "a widespread acknowledgment of" or "a common agreement on".
There was a "general acceptance of the delay and uncertainty".
In previous eras power relied on a general acceptance of hierarchies and positions.
All indications show a general acceptance of these families by Catholic clergy and laity.
Polygamy is legal here, and there is a general acceptance of its practice.
"You're only doing it for up to 10 weeks so there's a general acceptance of it.
But it works best if there is peer pressure and a general acceptance of the code.
Such an idea is unacceptable to most contemporary philosophers, due to their physicalistic orientations, and due to a general acceptance among philosophers of the scepticism of the concept of "self" by David Hume, who could never catch himself not doing, thinking or feeling anything.
Toyota is hoping that with the expanded and still-growing availability of CNG and a general acceptance and trust of hybrid technologies, buyers might now give the car a second look.
Von Schwerin points out that while "Khomeini's book Velayat-e Faqih played practically no role" in discussions, there was a general acceptance in the assembly of his notion that a leading Shia cleric should lead the new Republic.
Among the topics she has explored, for example, are how Friday night pizza parties have become occasions for parent-child bonding; how the very unwieldiness of the Thanksgiving turkey demands extended family socializing; whether Americans' acceptance of Mexican food translates into a more general acceptance of Mexicans.
Does it matter if Kenya is exporting flowers and coffee if people are still dying of hunger?" But the growing enthusiasm for trade among the more stable African economies is mirrored by a more general acceptance of trade among groups that had long been skeptical that international commerce benefited anyone but big corporations in the rich nations.
