Missing question (found on internet):
"what is the force of the car?"
Solution:
According to Newton's second law, the force of the car is equal to the product between its mass and its acceleration:

For the car in the problem,


So the force that accelerates the car is
Answer: 0.313 rad/s
Explanation:
The equation that relates the velocity
and the angular velocity
in the uniform circular motion is:
(1)
Where
is the radius of the space station (with a diaeter of 200m) that describes the uniform circular motion.
Isolating
from (1):
(2)
On the other hand, we are told the “artificial gravity” produced by the cetripetal acceleration
is
, and is given by the following equation:
(3)
Isolating
:
(4)
(5)
Substitutinng (5) in (2):
(6)
This is the angular velocity that would produce an “artificial gravity” of 9
.
Answer:
distance and length are the same quantity