A question answer community on a mission

to share Solutions for all STEM major Problems.

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

Added Mon, 27 Jul '15

Community

1

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

Added Mon, 27 Jul '15

Community

1

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

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.

to share Solutions for all STEM major Problems.

Why

The Purpose

The Purpose

How

The Community

The Community

Give Feedback

Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.