The London eye in England is the biggest big wheel in the world. it rotates with people on it so that they can get a view of the city of London from high up. there are 32 cabins attached to the wheel that carry passengers and it takes one approximately 30 minutes to complete the full revolution. the wheel never stops but moves very slowly to allow people to climb on and off. the London eye is approximately 135m high, weighs 1800 tons and can carry up to 4500 riders a day. From the top of the London eye, one can see up to 40km across the city. the wheel stands 153m high and the diameter of the wheel from outer rim to outer rim is 120m. what is remarkable is the amazing structure took only 16 months to build! You need to investigate , the relationship between the height of a passenger above the bottom of the London eye and the rotation of the wheel and the relationship between the height of a passenger above the ground and the rotation and the rotation of the wheel and the length from the bottom of the wheel of the London eye to the ground

Draw a diagram and write an equation for the height of a passenger above the ground, using the information provided in your question. The height will depend upon the rotation angle of the wheel, measured from top or bottom position, and the length from the bottom of the wheel of the London Eye to the ground.

im still lost don't know were to start can u write it down please

To investigate the relationship between the height of a passenger above the bottom of the London Eye and the rotation of the wheel, and the relationship between the height of a passenger above the ground and the rotation of the wheel, we can start by considering the basic principles of circular motion.

When the London Eye rotates, each cabin follows a circular path. This means that passengers on different heights within the cabin will experience different distances traveled as the wheel rotates. To understand this relationship, we need to consider the concept of angular displacement.

Angular displacement is the angle through which an object moves in a circular path. In the case of the London Eye, as the wheel rotates, passengers at the bottom will have a smaller angular displacement compared to passengers at the top. This is because the radius (distance from the center of rotation) of the circular path is larger for passengers at the top.

The relationship between the height of a passenger above the bottom of the London Eye and the rotation of the wheel can be described as follows: the higher the passenger is above the bottom, the larger the angular displacement they will experience as the wheel rotates. This means that passengers at the top will travel a greater distance compared to passengers at the bottom when completing a full revolution.

Now, let's consider the relationship between the height of a passenger above the ground and the rotation of the wheel. Since the ground is fixed, the height of the passenger above the ground will remain constant as the wheel rotates. This means that the rotation of the wheel does not affect the height of the passenger above the ground.

Regarding the relationship between the rotation of the wheel and the length from the bottom of the wheel of the London Eye to the ground, there is no direct correlation. The rotation of the wheel is independent of its height from the ground. The wheel can complete a full revolution regardless of its height from the ground.

In summary, the relationship between the height of a passenger above the bottom of the London Eye and the rotation of the wheel is that the higher the passenger is, the larger the angular displacement they will experience. The relationship between the height of a passenger above the ground and the rotation of the wheel is that the rotation of the wheel does not affect the height of the passenger. Finally, there is no direct relationship between the rotation of the wheel and the length from the bottom of the wheel to the ground.