Acceleration of a Particle in Frames S1 and S2

In summary, the conversation discusses the possible values for the acceleration of a particle between two frames, s1 and s2, which have equal magnitude of 4. The answer may range from 0 to 8, depending on the relationship between the accelerations of s1 and s2 and whether there is rotation of the reference frames.
  • #1
phymatter
131
0

Homework Statement



the acceleration of a particle as seen from 2 frames s1 and s2 is 4 , what can be the value of acceleration between s1 and s2

Homework Equations





The Attempt at a Solution


the answer to this question is anything between 0 to 8 , but i do not know the reason , pl help!
 
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  • #2
I can't understand your question but for any 2 frames A (non inertial) and Ground and a particle P, you can write,[tex]\vec{a}_{P \ wrt \ Ground} \ = \ \vec{a}_{P \ wrt \ A} \ + \ \vec{a}_{A \ wrt \ Ground}[/tex]
 
  • #3
cupid.callin said:
I can't understand your question but for any 2 frames A (non inertial) and Ground and a particle P, you can write,


[tex]\vec{a}_{P \ wrt \ Ground} \ = \ \vec{a}_{P \ wrt \ A} \ + \ \vec{a}_{A \ wrt \ Ground}[/tex]

i will re-phrase the question as :the accelerations of a particle as seen from 2 frames s1 ana s2 have equal magnitude =4 ; what can be possible the relationships between the accelerations of s1 and s2.
 
  • #4
The answer 0 to 8 seems reasonable, if the coordinate axes of the two frames do not rotate relative to each other.

Rotation of the reference frames may allow a larger range for the answer.
 
  • #5


I would first clarify the terms used in this context. A particle's acceleration is the rate of change of its velocity, and frames S1 and S2 refer to different reference frames from which the particle's motion is observed. Therefore, the acceleration of a particle can vary depending on the reference frame from which it is measured.

In this scenario, the acceleration of the particle is 4 in both S1 and S2. This means that the particle's velocity is changing at the same rate in both frames. However, the direction of this acceleration may differ between the frames.

The value of acceleration between S1 and S2 can vary between 0 and 8, as the particle's acceleration may be in the same direction or in opposite directions in the two frames. This depends on the relative motion between the two frames and the direction of the particle's motion.

To determine the exact value of acceleration between S1 and S2, we would need more information about the particle's motion and the relative motion between the two frames. This could include the particle's initial velocity, the angle between the two frames, and any other external forces acting on the particle. Without this information, we cannot accurately determine the value of acceleration between S1 and S2.
 

What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction.

How is acceleration calculated?

Acceleration can be calculated by dividing the change in velocity by the change in time. This can be represented by the equation a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

What is the difference between frames S1 and S2?

Frames S1 and S2 refer to different reference frames in which the acceleration of a particle can be measured. S1 is the inertial frame, which is a frame of reference that is not accelerating. S2 is the non-inertial frame, which is a frame of reference that is accelerating or rotating.

How does acceleration change in frames S1 and S2?

In frame S1, the acceleration of a particle remains constant unless acted upon by an external force. In frame S2, the acceleration of a particle is affected by the acceleration of the frame itself. This means that the acceleration of a particle in S2 can appear to be different from its actual acceleration in S1.

What are some real-world examples of frames S1 and S2?

An example of an inertial frame S1 is a stationary car on a flat road, where the acceleration of the car is only affected by external forces such as friction and the engine. An example of a non-inertial frame S2 is a rollercoaster, where the acceleration of the riders is affected by the acceleration and movement of the rollercoaster itself.

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