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 wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius rh = 0.315 m and mass 5.65 kg, and two thin crossed rods of mass 9.09 kg each. You would like to replace the wheels with uniform disks that are 0.0525 m thick, made out of a material with a density of 5990 kilograms per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?

Added Sun, 26 Jul '15

Community

1

Add a Comment

Solutions

0

let the radius of the disk be R.

Mass of new disk wheel, M2 = 5990 *(pi*R^2 *0.0525) = 987.45 *R^2

Moment of inertia of old wheel = I(hoop) +I(rods)

=> I1 = [5.65*(0.315)^2] + [2*9.09*(2*0.315)^2]/12

=> I1 = 0.56 + 0.6 = 1.16 kg-m^2

Moment of inertia of new wheel = M2*R^2/2

=> I2 = [(987.45*R^2)*R^2]/2

Since, I1 = I2

=> [(987.45*R^2)*R^2]/2 = 1.16

=> R = 0.22 m

Added Sun, 26 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.