Questions: Jennifer boards a Ferris wheel with radius 25 feet. The center of the Ferris wheel is 30 feet above the ground. The Ferris wheel starts to move and spins 1 rotation every 5 minutes. It gets up to speed, t=0, when Jennifer is at the mid-line and moving up. a) What is the maximum height of the Ferris wheel? feet

Jennifer boards a Ferris wheel with radius 25 feet. The center of the Ferris wheel is 30 feet above the ground. The Ferris wheel starts to move and spins 1 rotation every 5 minutes. It gets up to speed, t=0, when Jennifer is at the mid-line and moving up.
a) What is the maximum height of the Ferris wheel? feet

Transcript text: 00Jennifer boards a Ferris wheel with radius 25 feet. The center of the Ferris wheel is 30 feet above the ground. The Ferris wheel starts to move and spins 1 rotation every 5 minutes. It gets up to speed, $t=0$, when Jennifer is at the mid-line and moving up. a) What is the maximum height of the Ferris wheel? $\square$ feet

Solution

Solution Steps

To find the maximum height of the Ferris wheel, we need to consider the radius of the Ferris wheel and the height of its center above the ground. The maximum height will be the sum of the radius and the height of the center.

Step 1: Identify Given Values

We are given the radius of the Ferris wheel as $ r = 25 $ feet and the height of the center above the ground as $ h = 30 $ feet.

Step 2: Calculate Maximum Height

The maximum height $ H $ of the Ferris wheel can be calculated using the formula: \[ H = h + r \] Substituting the given values: \[ H = 30 + 25 \]

Step 3: Compute the Result

Calculating the above expression: \[ H = 55 \text{ feet} \]