Enter the radius of the Ferris wheel and the period of rotation into the calculator to determine the height above ground of a point on the wheel. This calculator helps in understanding the motion of a Ferris wheel at a given time.
Ferris Wheel Equation
The following equation is used to calculate the height above ground of a point on a Ferris wheel.
H = R + R * sin(2π * (1/T))
Variables:
- H is the height above ground (meters)
- R is the radius of the Ferris wheel (meters)
- T is the period of rotation (seconds)
To calculate the height above ground of a point on a Ferris wheel, add the radius of the wheel to the product of the radius and the sine of 2π times the inverse of the period of rotation.
What is the Ferris Wheel Equation?
The Ferris wheel equation models the vertical position of a point on the edge of a rotating Ferris wheel over time. It takes into account the radius of the wheel and the time it takes to complete one full rotation, known as the period. This equation is a simple harmonic motion equation that can be used to simulate the up and down movement of a Ferris wheel carriage.
How to Calculate Height on a Ferris Wheel?
The following steps outline how to calculate the height above ground of a point on a Ferris wheel.
- First, determine the radius of the Ferris wheel (R) in meters.
- Next, determine the period of rotation (T) in seconds.
- Next, gather the formula from above = H = R + R * sin(2π * (1/T)).
- Finally, calculate the height above ground (H) in meters.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Radius of the Ferris wheel (R) = 10 meters
Period of rotation (T) = 60 seconds
