1) Allison's angular velocity: 0.262 rad/h
2) Allison's linear velocity: 837.6 mi/h
Step-by-step explanation:
1)
The angular velocity of a body is the rate of change of the angular position. Mathematically:
where
is the angular displacement
is the time taken
Allison makes one complete revolution around the Earth's axis in 1 day (24 hours), so
The angular displacement instead is
which corresponds to the angle of one complete revolution. Therefore, Allison's angular velocity is
2)
The linear velocity of a body in circular motion is given by
where
is the angular velocity
r is the distance from the axis of rotation
For Allison, we have
Now we have to find r, the distance of Allison from the Earth's axis.
We know that her latitude is
36.1627° N
Which is the angle between the Earth's radius and the equator, and the Earth radius is
R = 3960 miles
Therefore, Allison's distance from the Earth's axis can be found using trigonometry:
And so, Allison's linear velocity is:
Learn more about rotational motion:
brainly.com/question/9575487
brainly.com/question/9329700
brainly.com/question/2506028
#LearnwithBrainly