suppose a ferris wheel is moving at a constant rate of 8 inches per second. if the diameter of the wheel is 60 feet, how long will it take the ferris wheel to make a complete revolution?
pi d = 3.14 * 60 = 188.4 feet in one rev
8 in = 8/12 = 2/3 foot = 0.667 feet per second
188.4 feet * 1 second / .667 foot = 282 seconds
which is about 4.7 minutes
Well, let me do some calculations with my rubber chicken... Ahem! To find the circumference of the ferris wheel, we'll use the formula C = πd, where C is the circumference and d is the diameter.
So, C = π * 60 feet = 188.5 feet (approximately, because π is irrational and never-ending like my jokes).
Now, since the ferris wheel is moving at a constant rate of 8 inches per second, we need to convert the circumference to inches.
1 foot is equal to 12 inches, so 188.5 feet = 2256 inches (approximately, because my math skills are also questionable).
Finally, to find the time it takes for a complete revolution, we divide the total distance by the rate of motion:
2256 inches / 8 inches per second = 282 seconds.
Therefore, it will take the ferris wheel approximately 282 seconds to make a complete revolution. Just enough time for me to juggle some rubber chickens!
To find out how long it will take the Ferris wheel to make a complete revolution, we can start by calculating the circumference of the wheel.
The formula for the circumference of a circle is C = πd, where C represents the circumference and d represents the diameter.
Given that the diameter of the Ferris wheel is 60 feet, we can plug in this value into the formula:
C = π * 60
C = 188.5 feet (approx.)
Now, we know the circumference of the Ferris wheel is 188.5 feet. Since the Ferris wheel is moving at a constant rate of 8 inches per second, we need to convert this speed to feet per second.
Since there are 12 inches in a foot, we can use the conversion factor of 1 foot = 12 inches to convert the speed:
8 inches/second = 8/12 feet/second
8 inches/second = 0.67 feet/second (approx.)
Now we can calculate the time it takes for the Ferris wheel to make a complete revolution by dividing the circumference by the speed:
Time = Circumference / Speed
Time = 188.5 feet / 0.67 feet/second
Time ≈ 281.34 seconds
Therefore, it will take approximately 281.34 seconds for the Ferris wheel to make a complete revolution.
To determine how long it will take for the Ferris wheel to make a complete revolution, we need to convert the measurements into consistent units.
First, let's convert the diameter of the wheel from feet to inches:
1 foot = 12 inches
Therefore, the diameter of the wheel in inches is 60 feet * 12 inches/foot = 720 inches.
Now, we have the diameter of the Ferris wheel, but in order to find the circumference (the distance covered in one revolution), we need to use the formula:
Circumference = π * diameter
Substituting the value of the diameter (720 inches) into the formula:
Circumference = π * 720 inches ≈ 2261.94646 inches
Since the Ferris wheel is moving at a constant rate of 8 inches per second, we can calculate the time it takes for a complete revolution by dividing the circumference by the rate:
Time = Circumference / Rate = 2261.94646 inches / 8 inches/second ≈ 282.74330825 seconds
Therefore, it will take approximately 282.74 seconds (or about 4 minutes and 43 seconds) for the Ferris wheel to make a complete revolution.