A toy airplane, flying in a horizontal, circular

path, completes 10. complete circles in 30.

seconds. If the radius of the plane’s circular path

is 4.0 meters, the average speed of the airplane is

(1) 0.13 m/s (3) 1.3 m/s

(2) 0.84 m/s (4) 8.4 m/s​

Respuesta :

Answer:

8.4 m/s

Explanation:

The toy completes 10 circle in 30 seconds. So its frequency of revolution is

[tex]f=\frac{10}{30 s}=0.33 Hz[/tex]

The periof of revolution is the reciprocal of the frequency, so

[tex]T=\frac{1}{f}=\frac{1}{0.33 Hz}=3 s[/tex]

The radius of the circular path is

r = 4.0 m

So the total distance covered by the toy in one circle is the length of the circumference:

[tex]2\pi r[/tex]

And so the average speed is

[tex]v=\frac{2\pi r}{T}=\frac{2\pi (4.0 m)}{3 s}=8.4 m/s[/tex]

The average speed of the airplane is 8.4 m/s

Further Explanation

Given :

number of rotation = N = 10

time intervals = Δt  = 30 s

radius = R = 4.0 m

Unknown :

average speed = v = ?

Solution :

v = ω × R

v = ( θ / Δt ) × R

v = ( 10 × 2π / 30 ) × 4

v = (8π / 3) m/s

v ≈ 8.4 m/s

Learn more

Newton's Law of Motion: https://brainly.com/question/10431582

Example of Newton's Law: https://brainly.com/question/498822

Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

Keywords: Newton, Law, Impulse, Work

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