Help Please?

Question

The cosmoclock 21 ferris wheel in japan has a diameter of 100 m. Its name comes from its 60 arms which can function as a second hand (so that it makes one revolution every 60 sec)

a) Find the speed of the passengers when the ferris wheel is rotating at this rate.

b) A passenger weighs 882 N at the weight-guessing booth on the ground. What is the apparent weight at hte highest and at the lowest point in the ferris wheel?

c) What would be the time for one revolution if the passenger's apparent weight at the highest point were zero?

d) What then would be the passenger's apparent weight at the lowest point?

Answer 1

1 rev/min., so the angular velocity is 2.pi radians/min. = 6.28 rad/min. =0.1047 rad/sec

A) Speed = r.omega = 5.24 m/sec

Weight = 882 N, hence mass = 882/g = 882/9.81 = 89.91 kg.

Centrifugal force = m.r.omega^2 = 89.91 x 50 x (0.1047)^2 = 49.28 N

This will subtract from his weight at the highest point and add to his weight at the lowest point.

B) Hence app. wt at the highest point = 882 - 49.28 = 832.72 N and app. wt at the lowest point = 882 + 49.28 = 931.28 N

For the app wt to be zero at the highest point, centrifugal force = wt.

Hence, 89.91 x 50 x (omega)^2 = 882
omega = sqrt(882/(89.91 x 50)) = 0.443 rad/sec
C) Time for 1 rev = 2.pi/omega = 14.18 sec

D) Since, in this case centrifugal force = wt = 882 N, app. wt at the lowest point = 882 + 882 =1764 N

Answer 2

Well you know the angular velocity is 1 rev/minute.

You want to convert from angular velocity to linear velocity. You want the linear velocity a distance r, from the center of the wheel. This distance should be the distance where the passangers are. They probably want you to assume the passangers are along the circumferance of the wheel so the distance r is just the radius of the wheel.

You get the radius from the diameter.

Knowing this, there is an equation in your book that you can use to convert from angular velocity to linear velocity at this radius...you see, the farther out you are from the center, the faster you will go..the faster your linear velocity is. Your angular velocity is constant.

Answer 3

Take the help of ur teacher or a friend who is a scholar.