Answer:
The angular speed of the reel is 11.33 rad/s
Explanation:
Given
The fisherman takes t = 8.4 s to wind distance x = 2.9 m into a circle radius of r = 3 cm = 0.03 m
Than the tangencial speed equals the change in the distance to the time
v = [tex]\frac{x}{t}[/tex] = [tex]\frac{2.9 m}{8.4 s} = 0.34 \frac{m}{s}[/tex]
Knowing the tangencial velocity is proportional to the radius r and the angular velocity
v = r*w
w = [tex]\frac{0.34 m/s}{0.03 m} = 11.33 \frac{rad}{s}[/tex]
