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

1300 rad ()

Explanation:

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

It is given by:

where

is the angular speed

is the angular displacement of the object

t is the time elapsed

For the propeller rotating in this problem, we have

is the angular speed

t = 5.0 s is the time elapsed

Therefore, the angular displacement is:

And since , the angle in degrees is

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