You wonder about the motion of the ferris wheel. You estimate the radius to be 12 m and time one revolution to be 27s.What is the ratio of your weight at the top of the ride to your weight while standing on the ground?What is the ratio of your weight at the bottom of the ride to your weight while standing on the ground?

Question
Asked Oct 17, 2019
53 views

You wonder about the motion of the ferris wheel. You estimate the radius to be 12 m and time one revolution to be 27s.

What is the ratio of your weight at the top of the ride to your weight while standing on the ground?

What is the ratio of your weight at the bottom of the ride to your weight while standing on the ground?

check_circle

Expert Answer

Step 1

Given information:

Radius of the Ferris wheel (R) = 12 m

Time period of the wheel (T) = 27 s

Let the mass of the person be “m”

Step 2

We know that the angular velocity of the Ferris wheel is given by:

2TT
2TT
= 0.232 rad/s
=
T
27
Hence the centrifugal force on the person is given by
F mrw2 = m(12 x 0.2322) = 0.65m N
help_outline

Image Transcriptionclose

2TT 2TT = 0.232 rad/s = T 27 Hence the centrifugal force on the person is given by F mrw2 = m(12 x 0.2322) = 0.65m N

fullscreen
Step 3

weight of the person at the top of the wheel:

we know that the centrifugal force on the person acts outwards from the centre of the Ferris wheel ...

т(9.81 — 0.65) — 9.16т N
W
mg 0.65m
Hence the ratio of the weight of the person on the top of rotating Ferris wheel to person on
ground is
9.16m
9.16т
0.93
п 3
9.81m
тg
help_outline

Image Transcriptionclose

т(9.81 — 0.65) — 9.16т N W mg 0.65m Hence the ratio of the weight of the person on the top of rotating Ferris wheel to person on ground is 9.16m 9.16т 0.93 п 3 9.81m тg

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Angular Motion

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A block with mass mA = 10.0 kg on a smooth horizontal surface is connected by a thin cord that passe...

A: The magnitude of acceleration is,

question_answer

Q: A lift to raise a crate to height of 10.0 m is used. [1hp= 746 W] Explain how much work in N m is do...

A: The work done by a system is obtained by taking the scaler product of the force and displacement.Mat...

question_answer

Q: A capacitor is discharged through a 30.0 Ω resistor. The discharge current decreases to 25.0% of its...

A: The formula for the current across a discharging capacitor is:

question_answer

Q: A 950 kg automobile is at rest at a traffic signal. At the instant the light turns green, the automo...

A: At time t=3.7 s, the position and the speed of the automobile and truck will be :

question_answer

Q: Tarzan really wants to sweep Jane off her feet. He is standing on a tree branch 6m above and away fr...

A:  Given:Height of the tree branch from ground = 6 mDistance between the tree and the jane = 6 m 

question_answer

Q: An object is released from rest at an unknown height h above the ground .one second later a second o...

A: Calculating the initial height:

question_answer

Q: A skier of mass 80 kg is pulled up a slope by a motor-driven cable. A) How much work is required to ...

A: Draw the free body diagram of the skier.

question_answer

Q: To avoid a collision while traveling at a speed of 19 m/sec and descending a steep mountain pass wit...

A: A grade of 4.3% signifies a rise of 4.3m per 100 m run.The formula to express the ratio between the ...

question_answer

Q: Hi, here's my question. 26.84:  In the figure, a resistor lies along each edge of a cube with connec...

A: Given:A cube of side length a has equal resistors along each side.