Moment of Inertia: Wheels Accelerated to 100 km/hr

The moment of inertia is a function of the geometry and mass distribution of an object. In this case, the relevant geometry to consider is the location of the mass distribution about the axis of rotation. So, in summary, the moment of inertia about the wheels when the vehicle is accelerated up to 100 km/hr and the foot is lifted off the accelerator is determined by the geometry and mass distribution of the vehicle, specifically the location of the mass distribution about the axis of rotation. The speed of rotation does not affect the moment of inertia.
  • #1
sulhil
11
0
what is the moment of inertia about the wheels , when the vehicle is accelerated upto 100 km/hr and the foot is lifted off the accelerator
 
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  • #2
sulhil said:
what is the moment of inertia about the wheels , when the vehicle is accelerated upto 100 km/hr and the foot is lifted off the accelerator

Er.. the moment of inertial is not a function of the speed of rotation!

Zz.
 
  • #3
the moment of inertia is a a function of the geometry and the mass of the object, bt in this case i am confused , as in which geometry to consider??
 
  • #4
sulhil said:
the moment of inertia is a a function of the geometry and the mass of the object, bt in this case i am confused , as in which geometry to consider??

This getting to be confusing. If you know that it is due to geometry, then why did you bring up the motion of the vehicle?

The "geometry" in question is the location of the mass distribution about the axis of rotation.

Zz.
 
  • #5


The moment of inertia of the wheels of a vehicle is a measure of its resistance to changes in rotational motion. When the vehicle is accelerated to 100 km/hr, the moment of inertia of the wheels will increase due to the increase in their angular velocity. This is because the mass of the wheels is now rotating at a higher speed, resulting in a higher rotational inertia.

However, when the foot is lifted off the accelerator, the moment of inertia of the wheels will decrease as the vehicle decelerates. This is because the wheels are no longer rotating at a high speed and their rotational inertia decreases.

It is important to note that the moment of inertia of the wheels is not solely dependent on their speed, but also on their distribution of mass. A vehicle with larger and heavier wheels will have a higher moment of inertia compared to a vehicle with smaller and lighter wheels, even if they are both traveling at the same speed.

In conclusion, the moment of inertia of the wheels of a vehicle will change when the vehicle is accelerated to 100 km/hr and when the foot is lifted off the accelerator. This change is a result of the increase or decrease in the wheels' rotational velocity and their distribution of mass.
 

1. What is moment of inertia?

Moment of inertia, also known as angular mass or rotational inertia, is a measure of an object's resistance to changes in its rotation. It is affected by both the mass and the distribution of that mass around an axis of rotation.

2. How is moment of inertia related to wheels accelerated to 100 km/hr?

Moment of inertia is directly related to the rotational speed of an object. When a wheel is accelerated to 100 km/hr, its rotational speed increases and therefore its moment of inertia also increases.

3. Why is moment of inertia important?

Moment of inertia is important because it affects the way objects rotate and how much energy is required to change their rotation. It is also a crucial factor in understanding the stability and balance of rotating objects.

4. How is moment of inertia calculated?

The moment of inertia of a rigid object can be calculated using the equation I = ∫r^2 dm, where I is the moment of inertia, r is the distance from the axis of rotation, and dm is the mass element. For simple shapes like a solid cylinder or a ring, there are specific equations that can be used to calculate the moment of inertia.

5. How does the moment of inertia of a wheel affect its acceleration?

The moment of inertia of a wheel affects its acceleration by increasing the amount of torque required to change its rotational speed. This means that the higher the moment of inertia, the slower the acceleration will be.

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