Answer:
The stuntman will not make it
Explanation:
At the bottom of the swing, the equation of the forces acting on the stuntman is:

where:
T is the tension in the rope (upward)
mg is the weight of the man (downward), where
m = 82.5 kg is his mass
is the acceleration due to gravity
is the centripetal force, where
v = 8.65 m/s is the speed of the man
r = 12.0 m is the radius of the circule (the length of the rope)
Solving for T, we find the tension in the rope:

Since the rope's breaking strength is 1000 N, the stuntman will not make it.
There is a a thing. so you use the scientific method by
The observation, measuring, and the experiment. also the formulation and then testing of your hypothesis