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Q2/ I need a step by step solution by hand please for this problem including a f

ID: 1408867 • Letter: Q

Question

Q2/
I need a step by step solution by hand please for this problem including a free bodydigram.
Thanks in advance 2-.-11 points My Notes Ask Your Teacher A model airplane of mass 0.750 kg flies in a horizontal circle at the end of a 58.0 m control wire, with a speed of 35.0 m/s. Compute the tension in the wire if it makes a constant angle of 20.0° with the horizontal. The forces exerted on the airplane are the pull of the control wire, the gravitational force, and aerodynamic lift, which acts at 20.0 inward from the vertical as shown in the figure. Fu 20 Need Help? Taik to a Tuter

Explanation / Answer

The centripetal force consists of two components:

tension in the string

component of gravity

Fc = T + sin 20° mg

Once we identify the centripetal force

we set it equal to

Fc = mv2/r

mv2 / r = T + sin 20° m g
0.75*35^2/58 = T + sin 20° 0.75*9.8
15.84 N = T + 2.51 N
FTension = 13.33N