An energetic father positions at the summit of a conical hill as he spins his child of 22 kg around on a cart of 5.5 kg with a 2.4 m long rope. The sides of the hill are inclined at 23 deg. He keeps the rope parallel to the ground and friction is negligible.
Determine what rope tension will let the cart to spin with the 13 rpm?
State your answer by using two significant figures.