A Ferris wheel is 60 meters in diameter and rotates once every 12.5s. what is the ratio of a person's apparent weight to her real weight (a) at the top, and (b) at the bottom?

w (rad/sec)=2PI/12.5 rad/sec

centripetal force=m w^28r=m*(2PI/1.25)^2*30

real weight=mg

apparent weight at top=realweight-centripetal force

apparent weight at bottom=real weight+centripetal force

can you help solve it because i don't understand it

To find the ratio of a person's apparent weight to her real weight on a Ferris wheel, we need to consider the effective gravity acting on the person at different points of the wheel.

Let's assume that the person's real weight is W.

(a) At the top:
When the person is at the highest point of the Ferris wheel, she experiences a centrifugal force pushing her outward, in the opposite direction to gravity. This centrifugal force reduces the effective gravitational force acting on her.

To calculate the apparent weight at the top, we need to subtract the centrifugal force from the person's real weight. The centrifugal force can be calculated using the formula:
Centrifugal Force = Mass × (Angular Velocity)^2 × Radius

Given the diameter of the Ferris wheel is 60 meters, the radius is half of that, which is 30 meters (Radius = Diameter/2 = 60/2 = 30m). The angular velocity can be calculated by dividing 2π radians (a full rotation) by the time taken for one rotation.

Angular Velocity = 2π radians / Time taken for one rotation

In this case, the time taken for one rotation is 12.5 seconds.

Now, let's calculate the apparent weight at the top of the Ferris wheel:
Centrifugal Force = Mass × (Angular Velocity)^2 × Radius
Apparent Weight = Real Weight - Centrifugal Force

(b) At the bottom:
When the person is at the bottom of the Ferris wheel, she experiences an additional force due to the rotation, which acts in the same direction as gravity. This force adds to the effective gravitational force acting on her.

To calculate the apparent weight at the bottom, we need to add the centrifugal force to the person's real weight.

Now, let's calculate the apparent weight at the bottom of the Ferris wheel:
Apparent Weight = Real Weight + Centrifugal Force

By finding the ratios of apparent weight to real weight at the top and bottom, we can compare the effect of the rotation on the person's weight.

Please provide the mass of the person so we can continue the calculation.

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