A Ferris wheel has a radius of 35 feet, and is rotating at 5 revolutions per minute. Find the linear speed, in feet per minute, of a seat on the Ferris wheel.

To find the linear speed of a seat on the Ferris wheel, we need to determine the circumference of the circle that the seat travels in one minute.

The circumference of a circle can be found using the formula:
Circumference = 2 * pi * radius

Given that the radius of the Ferris wheel is 35 feet, we can plug in this value into the formula:
Circumference = 2 * pi * 35

Next, we need to find out the number of feet traveled by the seat in one revolution. Since one revolution corresponds to one complete trip around the circle, it is equal to the circumference of the circle.

Therefore, one revolution is equal to 2 * pi * 35 feet.

Finally, we can calculate the linear speed of the seat by multiplying the length traveled in one revolution by the number of revolutions per minute:
Linear speed = 5 revolutions/minute * (2 * pi * 35 feet/revolution)

Simplifying, we get:
Linear speed = 5 * 2 * pi * 35

Therefore, the linear speed of a seat on the Ferris wheel is 350 * pi feet per minute.

To find the linear speed of a seat on the Ferris wheel, we need to determine the circumference of the Ferris wheel and then multiply it by the number of revolutions per minute.

1. Calculate the circumference of the Ferris wheel:
Circumference = 2 * π * radius

Given:
Radius = 35 feet

Circumference = 2 * π * 35

2. Calculate the linear speed:
Linear Speed = Circumference * Revolutions per minute

Given:
Revolutions per minute = 5

Linear Speed = (2 * π * 35) * 5

Now, let's calculate the value:

Circumference = 2 * π * 35 = 2 * 3.14159 * 35 = 219.91148 feet

Linear Speed = (219.91148) * 5 = 1099.5574 feet per minute (rounding to the nearest tenth)

Therefore, the linear speed of a seat on the Ferris wheel is approximately 1099.6 feet per minute.

The seat travels 2*pi*35 = 219.9 feet in 12 seconds (1/5 of a minute).

The speed is the distance divided by time.