Answer:
Centripetal force = 11789 N
Step-by-step explanation:
Recall that the centripetal acceleration is defined as the square of the tangential velocity divided by the radius of the circular rotation. Then for our case, the centripetal acceleration is:
ac = (11.8 m/s)^2 / 15 m = 9.28266 m/s^2
then, such acceleration on a mass of 1270 kg will render a centripetal force of:
Fc = m * ac = 1270 * 9.28266 N = 11789 N