What is the need to know the linear net acceleration?

In summary, the purpose of angular acceleration in rotational motion is to calculate tangential acceleration and centripetal or radial acceleration. However, it is also important to consider the net linear acceleration, which can be seen in the example of a ball connected to a spinning fan. When in contact, the ball experiences both tangential and radial acceleration, but when it loses contact, the only acceleration present is due to gravity.
  • #1
ehabmozart
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When we talk about rotational motion. I know what is the purpose of angular acceleration. We can get tangential acc. which accelerated the v tangential. Fine. Again, centripetal or radial acceleration for the change in direction but WHAT IS THE NEED TO KNOW THE LINEAR NET ACCELERATION? Take an example of a small ball connected to a horizontal fan. We can know tangential and rADIAL acc but when it looses contact, the only acc is g... Thanks to whoever contributes
 
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  • #2
When the fan is spinning the ball will apply a force on the blade equal to its weight. Due to Newton's third law the fan will also apply an equal opposite force on the ball therefore the ball will be static along the vertical axis. The net linear acceleration will then be only along the plane of rotation.
 

Related to What is the need to know the linear net acceleration?

1. What is linear net acceleration?

Linear net acceleration is a measurement of how quickly an object's velocity changes over time in a straight line. It is often expressed in units of meters per second squared (m/s²).

2. Why is it important to know the linear net acceleration?

Linear net acceleration is important because it helps us understand how objects move and interact with each other. It is crucial in fields such as physics, engineering, and transportation, and is essential in designing and testing various products and technologies.

3. How is linear net acceleration calculated?

Linear net acceleration can be calculated by dividing the change in an object's velocity by the time it takes for that change to occur. 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.

4. What are some common examples of linear net acceleration?

Some common examples of linear net acceleration include a car accelerating from a stop, a ball falling due to gravity, and a rocket taking off into space. In these cases, the velocity of the object is changing over time in a straight line, resulting in a linear net acceleration.

5. How does linear net acceleration differ from angular acceleration?

Linear net acceleration and angular acceleration are both measures of how an object's velocity changes over time, but they differ in the direction of the change. Linear net acceleration measures changes in velocity in a straight line, while angular acceleration measures changes in velocity around a fixed point or axis.

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