In a ferris wheel, one person is at the top and another at the bttom. The ferris wheel rotates such that the magnitude of the tangetial velocity of each person is equal |v|top=|v|bottom. Determine for the person at the bottom, the force the seat exerts on the person. Use a standard man mass of 70kg and the speed of the ferris wheel with 2.3 revolutions per minute and R=16.1m

I don't even know where to begin to attempt this problem!

force on the bottom: mg+ mv^2/r

To solve this problem, we need to use the concept of centripetal force. Centripetal force is the force that keeps an object moving in a curved path and is always directed towards the center of the circle.

In this case, the person at the bottom of the ferris wheel is moving in a circular path, so there must be a force directed towards the center of the circle to keep them in this path. This force is provided by the seat of the ferris wheel.

To determine the force exerted by the seat, we first need to find the centripetal acceleration of the person. We can use the equation for centripetal acceleration:

a = v^2 / r

where a is the centripetal acceleration, v is the tangential velocity, and r is the radius of the circular path.

First, we need to find the tangential velocity of the person at the bottom. We are given the speed of the ferris wheel, which is in terms of revolutions per minute (RPM). We need to convert this to m/s.

To do this, we can use the formula:

v = (2 * π * r) / t

where v is the tangential velocity, r is the radius of the circular path, and t is the time taken for one revolution.

In this case, the radius of the ferris wheel, r, is given as 16.1m and the time taken for one revolution, t, can be calculated by converting the 2.3 revolutions per minute to seconds:

t = 60 / 2.3

Once we have the tangential velocity at the bottom, we can calculate the centripetal acceleration using the formula mentioned earlier.

Finally, to find the force exerted by the seat, we can use Newton's second law of motion:

F = ma

where F is the force, m is the mass of the person, and a is the centripetal acceleration calculated earlier.

Given that the mass of a standard man is 70 kg, we can substitute the values into the equation to find the force exerted by the seat on the person at the bottom.

I hope this explanation helps you understand how to approach this problem! Let me know if you have any further questions.

is g gravity (9.81)?