Calculating Forces and Angles in a Model Plane System

[Ch3m_]

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
F_c = mrω²

The Attempt at a Solution

a)F_c = mrω²
0.2 x 0.35 x 6.0²
= 2.52N

b) tanθ = F_c/F_w
tanθ = 2.52/(0.2x9.8)
θ = tan^-1(2.52/0.2x9.8)
θ = 52°

 

[TSny]

Looks good.

 

[Ch3m_]

Thanks! :)