Question

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)

Answer 1

Tangential speed of the bird is 4.19 m/s

Step-by-step 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

`\omega = (2\pi)/(T)`

`\omega = (2\pi)/(30)`

`\omega =0.21 rad/s`

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

`v = R\omega`

`v = (20)(0.21)`

`v = 4.19 m/s`