Question

An airplane propeller rotates with an angular speed of 260 rad/s though what angul does the propeller rotate in 5.0s? Give your answer in both radians and degrees

Answer 1

This is the same question i have and posted first! why did you copy it to use that at your own!

Answer 2

1300 rad (
`74522^(\circ)`)

Step-by-step explanation:

The angular speed of an object is the rate of change of angular position.

It is given by:

`\omega=(\theta)/(t)`

where

`\omega` is the angular speed

`\theta` is the angular displacement of the object

t is the time elapsed

For the propeller rotating in this problem, we have

`\omega=260 rad/s` is the angular speed

t = 5.0 s is the time elapsed

Therefore, the angular displacement is:

`\theta=\omega t=(260)(5.0)=1300 rad`

And since
`2\pi rad = 360^(\circ)`, the angle in degrees is

`\theta=(1300)/(2\pi)(360)=74522^(\circ)`