If you are riding on a Ferris wheel that is 60 feet tall and it takes 5 minutes to make a one revolution, what is your linear velocity?

A. 0.62 feet per second
B. 0.31 feet per second
C. 37.68 feet per second
D. 3.14 feet per second
E. 9.42 feet per second

I am acutally doing this in Algebra 2 the answer is A, 0.62 ft

pi*60/5 * 1/60

(A)

To find the linear velocity of the Ferris wheel, we need to know the distance traveled in a given time.

First, let's find the circumference of the Ferris wheel. The circumference is equal to the circumference of a circle with a radius of 60 feet.

Circumference = 2πr = 2 * 3.14 * 60 = 376.8 feet (rounded to one decimal place)

Since it takes 5 minutes to make one revolution, we can find the linear velocity by dividing the circumference by the time taken:

Linear velocity = Circumference / Time = 376.8 feet / 5 minutes

To convert minutes into seconds, we need to multiply by 60:

Linear velocity = 376.8 feet / 5 minutes * 60 seconds/minute
= 376.8 feet / 300 seconds
= 1.256 feet per second (rounded to three decimal places)

Therefore, the closest option to the calculated linear velocity is:

A. 0.62 feet per second

To calculate linear velocity, we need to know the distance traveled by the object per unit of time.

In this case, the Ferris wheel travels in a circular path, so we need to calculate the circumference of the Ferris wheel to find the distance traveled in one revolution.

The formula for the circumference of a circle is:
C = 2πr

where C is the circumference and r is the radius of the circle.

Given that the Ferris wheel is 60 feet tall, we can determine that the radius of the Ferris wheel is half of its height, which is 30 feet.

Substituting this value into the formula, we get:
C = 2π(30)
C = 60π

Since it takes 5 minutes to make one revolution, we can convert the time into seconds by multiplying it by 60:
5 minutes = 5 * 60 = 300 seconds

Now, we can calculate the linear velocity by dividing the circumference by the time taken for one revolution:
Linear velocity = C / T

Linear velocity = (60π) / 300

Divide both the numerator and denominator by 60 to simplify the equation:
Linear velocity = (π) / 5

Now, to compare the given options to our calculated value, we need to approximate π as 3.14:
Linear velocity ≈ 3.14 / 5

Simplifying further:
Linear velocity ≈ 0.628

Therefore, the closest option to the calculated linear velocity is:
A. 0.62 feet per second