Respuesta :
Draw a diagram (shown below) to illustrate the problem.
The rotational speed is
ω = (3 rev/min)*(1 min/60 s)*(2π rad/rev) = π/10 rad/s
The period is
T = 2π/ω = 20 s
The amplitude of the rotational motion is equal to the radius of 15 ft.
At t=0, the height of the tip of the blade is horizontal to the right, therefore its motion relative to the ground is given by
[tex]y=15 sin( \frac{ \pi t}{10})+40 [/tex]
A plot of the motion is shown below.
The rotational speed is
ω = (3 rev/min)*(1 min/60 s)*(2π rad/rev) = π/10 rad/s
The period is
T = 2π/ω = 20 s
The amplitude of the rotational motion is equal to the radius of 15 ft.
At t=0, the height of the tip of the blade is horizontal to the right, therefore its motion relative to the ground is given by
[tex]y=15 sin( \frac{ \pi t}{10})+40 [/tex]
A plot of the motion is shown below.

