ToughSTEM
Sign Up
Log In
ToughSTEM
A question answer community on a mission
to share Solutions for all STEM major Problems.
Cant find a problem on ToughSTEM?
0
The combination of an applied force and a constant frictional force produces a constant total torque of 35.8 N·m on a wheel rotating about a fixed axis. The applied force acts for 6.04 s. During this time the angular speed of the wheel increases from 0 to 10.2 rad/s. The applied force is then removed, and the wheel comes to rest in 59.7 s
(a) Find the moment of inertia of the wheel.
_______ kg*m2
(b) Find the magnitude of the frictional torque.
_______ N*m
(c) Find the total number of revolutions of the wheel.
_______ rev
Edit
Added Mon, 27 Jul '15
Community
1
Comment
Add a Comment
Solutions
0
a)
Angular acceleration ? = (?2- ?1)/t = 10.2/6.04 = 1.688 rad/s^2

I ? = I *1.688 = 35.8

I = 35.8/ 1.688 = 21.208 kg m/s^2
===========================
b)
The wheel comes to rest only due to the frictional torque ? (friction)

? (friction) = I ?' = 21.208 ?'
?' = - 10.2/59.7 = - 0.170 minus to show that the speed reduces.
? (friction) = - 21.208*0.170 = 3.605 N.m
==============================
c)
in time 6.04s
?= 0.5 ? t^2 = 0.5*1.688*6.04^2 =30.79 radians.

Or from average angular velocity *time = (10.2/2)*6.04 =30.08 radians

In time 59.7 s
(10.2/2)*59.7 = 281.2 radians

Total angle traversed
281.2 +27.6 = 304.47 radians
304.47 / (2?) revolutions = 48.45 revolutions
Edit
Added Mon, 27 Jul '15
Community
1
Comment
Add a Comment
Add Your Solution!
Close

Click here to
Choose An Image
or
Get image from URL
GO
Close
Back
Add Image
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

Add Your Solution
Sign Up
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!
Please check your email to finish creating your account!
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.