A plane creates letters in the sky as part of an airshow by releasing a gas from its tail. At one stage the plane creates the letter C$.$

Some information relating to the plane is given during the manoeuvre.

Tangential velocity $=76\mathrm{.}0$ m s$1$

Mass $=800$ kg

Centripetal force $=7990$ N

Calculate the maximum width of the letter C that the plane can create. Give your answer to two significant figures and in metres.