Final answer:
To calculate the apparent weight of the passenger at the lowest point of the ferris wheel, we need to consider the gravitational force acting on the passenger and the centripetal force acting on the passenger due to the rotation of the ferris wheel.
Step-by-step explanation:
To calculate the apparent weight of the passenger at the lowest point of the ferris wheel, we need to consider the gravitational force acting on the passenger and the centripetal force acting on the passenger due to the rotation of the ferris wheel. At the lowest point of the circle, the centripetal force is equal to the apparent weight of the passenger plus the gravitational force.
Apparent weight can be calculated using the formula W = mg + ma, where W is the apparent weight, m is the mass of the passenger, g is the gravitational acceleration, and a is the centripetal acceleration.
The centripetal acceleration can be calculated using the formula a = (v^2) / r, where v is the linear velocity of the passenger and r is the radius of the ferris wheel. The linear velocity can be calculated using the formula v = 2πr / T, where T is the period of rotation of the ferris wheel.
Plugging in the values given in the question, we can calculate the linear velocity, the centripetal acceleration, and finally the apparent weight of the passenger at the lowest point of the circle.