Linear speed $\"\"$ of the object is the distance travelled divided by the total time $\"\"$ .

Relation between linear speed $\"\"$ of an object and angular speed $\"\"$ of the object is $\"\"$ , where $\"\"$ is the radius of the circular motion and $\"\"$ is measured in radians per unit time.

Find the linear speed of the Ferris wheel.

Radius of the Ferris wheel $\"\"$ feet.

Total time $\"\"$ seconds.

Circumference of the wheel $\"\"$ feet.

Linear speed is the distance travelled divided by the total time.

$\"\"$

Thus, the linear speed of the Ferris wheel is 2.69 feet/second.

Find the angular speed of the Ferris wheel.

Consider $\"\"$ .

Substitute he values of $\"\"$ feet and $\"\"$ feet/second in above formula.

$\"\"$

Thus, the angular speed of the Ferris wheel is 0.089 radian/second.

The linear speed of the Ferris wheel is 2.69 feet/second.

The angular speed of the Ferris wheel is 0.089 radian/second.