Doubt in Inertial frame of reference

In summary, Newton's laws of motion can be applied in practical experiments such as a simple pendulum or motion of a ball on the surface of the Earth, even though the Earth is not an inertial frame of reference. This is because we can account for the Earth's orbital acceleration and rotation by adding pseudo forces into Newton's second law. While these forces are barely noticeable on small scales, they can have a major impact on larger scales, such as in the weather.
  • #1
manimaran1605
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Newton's laws of motions are not applicable in Non-inertial frames of reference which means only mutually accelerated frames of references, My question is how can we apply Newton's laws of motions for practical experiments such as simple pendulum, motion of a ball, etc. conducted in near surface of earth

I referred a book it says that orbital acceleration of the Earth is insignificant and the effect of the Earth’s rotation is normally a small correction, the Earth may be assumed to be inertial frame.
I know there is a reason we are assuming Earth may be inertial frame, have some idea that it should be something regarding rotation of frame of reference, but i am unable to reason it precisely, Help me
 
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  • #2
Newtons laws can be applied in arbitrarily accelerating/rotating frames as long as you take into account the pseudo forces.
 
  • #3
The surface of the Earth is indeed in an accelerating frame of reference, like when you are in a car speeding up. You feel a force pushing you back in your seat which is not due to anything pushing you in the car. It is because the car is accelerating and you are along for the ride. If you want to make Newton's laws work, you account for this by adding an extra force, a pseudo force into Newton's second law.

On the Earth, this acceleration is barely noticeable on small scales, but you can see it for yourself with a Foucault Pendulum.
http://en.wikipedia.org/wiki/Foucault_pendulum
On larger scales, it's a huge driving force in the weather, and why hurricanes spin in opposite directions in the northern and southern hemispheres (it's NOT enough of a force to cause toilets do drain in opposite directions; that's just the shape of the bowl and plumbing).
 

FAQ: Doubt in Inertial frame of reference

1. What is an inertial frame of reference?

An inertial frame of reference is a coordinate system in which the laws of motion are described by Newton's laws of motion. In this frame, an object will remain at rest or in a state of constant velocity unless acted upon by an external force.

2. How do we determine if a frame of reference is inertial?

A frame of reference is considered inertial if it satisfies two conditions: 1) it is not accelerating, and 2) there are no external forces acting on the objects within the frame of reference. In simpler terms, if an object appears to be moving at a constant velocity or at rest, and there are no forces acting on it, then the frame of reference is inertial.

3. Can an object be in motion within an inertial frame of reference?

Yes, an object can be in motion within an inertial frame of reference as long as it is moving at a constant velocity. This is because in an inertial frame, there are no external forces acting on the object to change its state of motion.

4. What is the significance of an inertial frame of reference?

Inertial frames of reference are important in physics because they provide a consistent and reliable way to describe the motion of objects. They also allow us to determine the cause of motion, as any change in motion can be attributed to external forces acting on the object.

5. Can there be multiple inertial frames of reference?

Yes, there can be multiple inertial frames of reference. In fact, any frame of reference that is not accelerating and has no external forces acting on it can be considered an inertial frame. This means that there can be an infinite number of inertial frames of reference in our universe.

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