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You watch a bird circling overhead. He appears to fly I. A perfect circle with a radius of 20m. You find that it takes the bird 30s to complete one revolution. The bird has a mass of .50 kg.
Calculate how fast (v) is the bird flying (linear / tangential speed)

Respuesta :

Answer:

Tangential speed of the bird is 4.19 m/s

Explanation:

As we know that bird complete one rotation in 30 s

so the Time Period of motion of bird is

T = 30 s

Now we can find the angular speed of the bird as

[tex]\omega = \frac{2\pi}{T}[/tex]

[tex]\omega = \frac{2\pi}{30}[/tex]

[tex]\omega =0.21 rad/s[/tex]

now we know that tangential speed of the bird is given as

[tex]v = R\omega[/tex]

[tex]v = (20)(0.21)[/tex]

[tex]v = 4.19 m/s[/tex]

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