Question

7.

At an amusement park a ride called The Rotor is a cylindrical room that spins
around. The riders stand against the circular wall. When The Rotor reaches the
necessary speed, the floor drops out, and the centrifugal force keeps the riders
pinned to the wall.
The model that gives the speed s (in meters per second) necessary to keep a
person pinned to the wall is given by the function
s=4.95√F
where r is the radius (in meters) of the rotor. Suppose the speed of The Rotor
is 8 meters per second, what is the radius?

Answer 1

The formula that gives the speed s (in meters per second) necessary to keep a person pinned to the wall is:

s = 4.95√r

where r is the radius (in meters) of the rotor.

We are given that the speed of The Rotor is 8 meters per second. Therefore, we can write:

8 = 4.95√r

Dividing both sides by 4.95, we get:

√r = 8/4.95

Squaring both sides, we get:

r = (8/4.95)²

r ≈ 10.37 meters

Therefore, the radius of The Rotor is approximately 10.37 meters when the speed is 8 meters per second.