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Ch3m_
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Homework Statement
A motorised model plane is attached to a light string anchored to a ceiling. The plane follows a circular path of radius 0∙35 m as shown in Figure 2.
The plane has a mass of 0∙20 kg and moves with a constant angular velocity of 6∙0 rad s−1 .
(a) Calculate the central force acting on the plane.
(b) Calculate the angle θ of the string to the vertical.
2. Homework Equations
Fc = mrω2
The Attempt at a Solution
a)Fc = mrω2
0.2 x 0.35 x 6.02
= 2.52N
b) tanθ = Fc/Fw
tanθ = 2.52/(0.2x9.8)
θ = tan-1(2.52/0.2x9.8)
θ = 52°