  ToughSTEM  ToughSTEM
A question answer community on a mission
to share Solutions for all STEM major Problems.
Cant find a problem on ToughSTEM?
0

A student of weight 673 N rides a steadily rotating Ferris wheel

(the student sits upright). At the highest point, the magnitude of

the normal force FN on the student from

the seat is 558N.

(a) Does the student feel "light" or "heavy" there?

(b)What is the magnitude of FN at

the lowest point?

(c) If the wheel's speed is doubled, what is the magnitude of

FN at the highest point?

(d) What is the magnitude of FN at the

lowest point under the same conditions as in (c)?  Edit Comment  Solutions
0

a) Lighter.

Mass of student = (673/9.8) = 68.67kg.

Centripetal acceleration component = ((9.8 x (558/673)) - 9.8 =

-1.674 m/sec^2.

So at the bottom, total acceleration will be (9.8 1.674) = 11.474

m/sec^2.

b) Force at bottom = (ma) = (11.474 x 68.67) = 787.91 N.

c) Centripetal force is quadrupled when speed is doubled, = (1.674

x 4) = 6.696 m/sec^2.

(9.8 - 6.696) x 68.67 = 213.15 N.

d) (9.8 6.696) x 68.67 = 1,132.78N.  Edit Comment  Close Choose An Image
or
Get image from URL
GO
Close Back
Close
What URL would you like to link?
GO             α
β
γ
δ
ϵ
ε
η
ϑ
λ
μ
π
ρ
σ
τ
φ
ψ
ω
Γ
Δ
Θ
Λ
Π
Σ
Φ
Ω
Copied to Clipboard

to interact with the community. (That's part of how we ensure only good content gets on ToughSTEM)
OR      OR
ToughSTEM is completely free, and its staying that way. Students pay way too much already.
Almost done! Welcome to the Club!
Choose a new Display Name
Only letters, numbers, spaces, dashes, and underscores, are allowed. Can not be blank.
Great! You're all set, . A question answer community on a mission
to share Solutions for all STEM major Problems.
Why
The Purpose
How
The Community
Give Feedback Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.