A person is flying an 82 g model airplane in a horizontal circular path on the end of
a string 11m long. The string is also horizontal (ideal situation). It exerts a force of
3.22N on the hand of the person holding it. What is the speed of the plane?
The Attempt at a Solution
I did the problem by using vector components. 3.22N was the force acting on the arm to the right and the other component was the force of gravity which was N=mg, 803.6N acting down. I used pyth. theorem to find the hypotenuse. Then i go to the solution manual to see if I did my work correctly so far and it turns out that they just substituted all the variables in the formula and got the answer without playing with any components. Why is this so? Please help!!