What is the tangential acceleration of a toy car at a specific point in a loop?

In summary, the conversation is discussing the concept of tangential acceleration and its relevance to a toy car starting from rest at a height 4R above the ground and continuing to a loop of radius R, with no friction. The question asks for the tangential acceleration of the toy car at a point C, which is at a height R from the ground inside the loop. The conversation also mentions other relevant equations, such as linear acceleration and angular acceleration, and the Coriolis term. It is unclear from the question whether point C is where the loop is vertical.
  • #1
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Homework Statement


Perhaps I am confused by the concept.
A toy car starts from rest at a height 4R above the ground and continue to a loop of radius R (frictionless). At a point C (height R from the ground) inside the loop, what is the tangential acceleration of the toy car?


Homework Equations



I don't think a=alpha*r is quite relevant to this...or a=dv/dt...

The Attempt at a Solution


not quite yet. perhaps the gravity is the only thing?

Please, explain me of the concept of 'tangential acceleration' and its components.
 
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  • #2
Tangential acceleration is simply the component of linear acceleration that's in the tangential direction. You are right that this is not the same as angular acceleration * radius, [itex]r\dot{ω}[/itex]. There is also the Coriolis term [itex]2\dot{r}ω[/itex].
It's not quite clear from the question (the position of the loop in relation to the ground is not given): is point C where the loop is vertical?
 

What is tangential acceleration?

Tangential acceleration is the rate of change of an object's tangential velocity. It describes how quickly the object's speed changes as it moves along a curved path.

How is tangential acceleration calculated?

Tangential acceleration can be calculated by dividing the change in tangential velocity by the change in time. The formula is: at = (vf - vi) / t, where at is the tangential acceleration, vf is the final tangential velocity, vi is the initial tangential velocity, and t is the time taken for the change in velocity.

What is the difference between tangential acceleration and centripetal acceleration?

Tangential acceleration is the component of acceleration that is tangent to the object's path, while centripetal acceleration is the component of acceleration that is directed towards the center of the circular path. Tangential acceleration describes the change in speed, while centripetal acceleration describes the change in direction.

How does tangential acceleration affect an object's motion?

Tangential acceleration affects an object's motion by changing its speed. If the tangential acceleration is positive, the object's speed will increase. If the tangential acceleration is negative, the object's speed will decrease.

What factors can affect tangential acceleration?

Tangential acceleration can be affected by the object's mass, tangential force, and the radius of its circular path. The greater the mass and tangential force, the greater the tangential acceleration. The smaller the radius, the greater the tangential acceleration.

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