Calculating force of friction with torque, rotational inertia and angular accel

In summary, to find the force of friction in this scenario, we use the equation Torque = (Force)(Distance) and solve for the force by dividing the torque by the distance. The final answer is 1.76 [N], rounded to three significant figures.
  • #1
cc2hende
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Homework Statement



I have a plot whose vertical intercept is 0.00352 [Nm]
If the bearings are 2 [mm] from the center of the wheel,
then what is the force of friction?
Use three significant figures for your answer in Newtons.

Homework Equations



Torque= (Rotational Inertia)(Angular Acceleration)+ Torque due to friction


The Attempt at a Solution


Torque=0.00352Nm
Torque due to friction = (Rotational Inertia)(Angular Acceleration) - Torque
Tf= (I)*(A)-0.00352Nm

I don't even know how to attempt to solve for those other variables. Is this even the right equation to use?
 
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  • #2




Thank you for your post. To determine the force of friction in this scenario, we can use the equation Torque = (Force)(Distance). We know the torque (0.00352 [Nm]) and the distance (2 [mm]), so we can rearrange the equation to solve for the force: Force = Torque/Distance. Plugging in the values, we get Force = 0.00352 [Nm] / 0.002 [m] = 1.76 [N]. However, since we are asked to round to three significant figures, the final answer is 1.76 [N]. I hope this helps and let me know if you have any further questions.
 

1. What is friction?

Friction is the force that opposes motion between two surfaces in contact. It is caused by irregularities in the surfaces and is dependent on factors such as the type of surfaces, the applied force, and the presence of any lubricants.

2. How is friction related to torque?

Friction can cause a torque, which is a rotational force, when a force is applied to an object. This torque can either oppose or assist the applied force, depending on the direction of rotation.

3. What is rotational inertia?

Rotational inertia, also known as moment of inertia, is a measure of an object's resistance to changes in its rotational motion. It is dependent on the mass distribution of the object and the axis of rotation.

4. How do you calculate force of friction with torque, rotational inertia, and angular acceleration?

The force of friction can be calculated using the formula F = μN, where μ is the coefficient of friction and N is the normal force. To incorporate torque, the formula becomes τ = Fd, where d is the distance from the axis of rotation to the point of application of the force. Angular acceleration can be calculated using the formula α = τ/I, where I is the moment of inertia. Combining these equations, we can calculate the force of friction with torque, rotational inertia, and angular acceleration.

5. What are some real-life applications of calculating force of friction with torque, rotational inertia, and angular acceleration?

Calculating force of friction with torque, rotational inertia, and angular acceleration is important in various mechanical systems, such as car engines, bicycles, and gears. It is also essential in designing and analyzing machines and structures, such as bridges and buildings. Additionally, understanding these concepts is crucial in sports, such as skating and skiing, where friction and rotational forces play a significant role in performance.

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