At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 3.21 m/s, and an 75.7 kg person feels a 558 N force pressing against his back. What is the radius of a chamber?

I know that Fc= mv^2r, and I keep getting r=.7154 but it says it's incorrect. What am I doing wrong? Help please!

Read the equation wrong, I got it. Sorry!

To find the radius of the chamber, we can use the concept of centripetal force. When an object moves in a circular path, it experiences a force called the centripetal force, directed towards the center of the circle.

In this case, the force pressing against the person's back is the centripetal force. The formula for centripetal force is given by:

F = m * (v^2 / r)

Where:
F is the force
m is the mass of the person (75.7 kg)
v is the speed of the outer wall (3.21 m/s)
r is the radius of the chamber (which we need to find)

We can rearrange the formula to solve for r:

r = m * (v^2 / F)

Let's substitute the given values into the equation:

r = (75.7 kg) * ((3.21 m/s)^2 / 558 N)

Now we can calculate the value for r: