if you are riding on a ferris wheel that is 60 ft tall and it takes you 5 minutes to make 1 revolution, what is your linear velocity?
So the radius = 30 ft
circumference = 60π ft
So linear velocity = 60π ft / 5 min
= 12π ft/min
To calculate linear velocity, we need to know the distance traveled and the time taken. In this case, since you are riding a Ferris wheel, the distance traveled is equal to the circumference of the wheel, i.e., the perimeter of a circle.
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * Radius
Given that the Ferris wheel is 60 ft tall, we can use the height as the radius of the circle. Therefore, the radius (r) of the Ferris wheel is 60 ft.
Circumference = 2 * π * 60 ft
To calculate your linear velocity, we need to divide the circumference by the time taken for one revolution, which is 5 minutes.
Linear Velocity = Circumference / Time
Linear Velocity = (2 * π * 60 ft) / 5 min
Now, let's calculate the linear velocity:
Linear Velocity = (2 * 3.14 * 60 ft) / 5 min
Linear Velocity = 376.8 ft/min
Therefore, your linear velocity on the Ferris wheel is 376.8 ft/min (rounded to one decimal place).