Question

You are designing a rotor ride for an amusement park. What design will enable the rider to feel the greatest Fn (Normal Force)?

a. Decrease the velocity of the ride and increase the radius
b. Decrease the velocity of the ride and decrease the radius
c. Increase the velocity of the ride and increase the radius
d. Increase the velocity of the ride and decrease the radius

Answer 1

d. Increase the velocity of the ride and decrease the radius

Step-by-step explanation:

The normal force in the amusement park ride is produced by the centripetal force. The formula for this force is given as follows:

Fn = mv²/r

where,

m = mass of the body,

v = velocity of the body

r = radius of the path

Therefore, it is clear from the formula that force has a direct relation with the square of velocity and inverse relation with the radius of path. Hence, the design that will enable the rider to feel the greatest Fn will be:

d. Increase the velocity of the ride and decrease the radius