Moment of inertia wheel and bug

AI Thread Summary
The discussion centers on a physics problem involving a rotating wheel with a bug on one of its spokes. The wheel has an angular speed of 6π radians, a radius of 0.04 meters, and the bug is located at half the radius with a mass of 0.005 kg. Participants clarify that the angular speed of the bug is equal to that of the wheel, and the linear speed can be calculated using the formula V = ω * r. There is some confusion about whether energy considerations are necessary for finding angular velocity, but it is confirmed that the calculations are straightforward. The conversation emphasizes the importance of correctly applying the formulas for angular and linear speeds.
Jdanka
Messages
3
Reaction score
0

Homework Statement



There is a wheel with spokes rotating on a horizontal axis about its center.

the Wheel has a w(omega) of 6∏ and a radius of .04meters

there is a bug on one of the spokes at exactly 1/2 radius or .02meters. the bug has a mass of .005kg.

Homework Equations


not really sure which equations to use, but here are a bunch that will most likely be helpful
Icm of rod = 1/3mL^2
Icm of wheel = Mr^2
v=w/r
a=σ(alpha)*r

The Attempt at a Solution


The questions are
A) find the angular speed of the bug

B) find the linear speed of the bug

these are just the first couple questions of many but any help would be appreciated.
 
Physics news on Phys.org
"the Wheel has a w(omega) of 6∏ and a radius of .04meters"

If you are specifying the rotational speed of the spoked wheel, you need more units.

Six pi radians in what amount of time?
 
there is no time given, but what might be helpful to know is that the wheel has a negative acceleration (was not given the amount). also incase it wasn't clear the wheel is rotating vertically

unfortunately I have a very difficult physics teacher. I don't need the answer in numbers nor do i want it, but I would like to know how to solve this
 
If the bug is clinging to a spoke, then it is moving with the wheel. That tells you its angular speed. To determine its linear speed, you already have the equation posted to do that.
 
Is it really that simple to find angular velocity? i thought for sure that I would have to use some form of energy to find it using I. and as far as linear velocity goes I thought because it was not on the outside of the wheel that it would have a different velocity than a point on the wheel
 
Jdanka said:
Is it really that simple to find angular velocity? i thought for sure that I would have to use some form of energy to find it using I. and as far as linear velocity goes I thought because it was not on the outside of the wheel that it would have a different velocity than a point on the wheel

The angular speed of the bug is the same as the angular speed of the wheel. For the linear speed, you have the formula V = omega * r. You typed it incorrectly in your original post.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Electric field due to charges between 2 parallel infinite planes'

TL;DR Summary: Find Electric field due to charges between 2 parallel infinite planes using Gauss law at any point Here's the diagram. We have a uniform p (rho) density of charges between 2 infinite planes in the cartesian coordinates system. I used a cube of thickness a that spans from z=-a/2 to z=a/2 as a Gaussian surface, each side of the cube has area A. I know that the field depends only on z since there is translational invariance in x and y directions because the planes are...
View full post »

Similar threads

Analyzing torque of an automobile engine
Replies
6
Views
919
Moment of inertia of T bar about 3 axes
Replies
21
Views
2K
Moment of Inertia of this combined system?
Replies
3
Views
2K
Moment of Inertia with pulley and two masses on a string (iWTSE.org)
Replies
8
Views
12K
Finding the Moment of Inertia for a Rectangular Sheet
Replies
1
Views
4K
Rolling and Sliding: Solving Angular Momentum Theorem
Replies
8
Views
2K
Calculating Moment of Inertia for Hollow Cylinder w/ Water
Replies
40
Views
5K
Finding the angular velocity of a pendulum
Replies
3
Views
945
Calculating moment of inertia of a complicated system
Replies
3
Views
2K
Angular momentum and rotational inertia
Replies
25
Views
3K

Hot Threads

Recent Insights

Back
Top