Easy Conceptual Kinematics Problem

In summary: So in summary, the acceleration of an object can be non-zero when the speed of the object is constant.
  • #1
waters
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The acceleration of an object can be non-zero when the speed of the object is constant.

This is true. Why? If the velocity is constant, doesn't its derivative have a slope of 0?
 
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  • #2
Think of an object with constant speed in a circular motion. Velocity is a vector quantity, consider those two ideas and see if you can understand it now.
 
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  • #3
Thanks for the reply.

So it's true only because centripetal acceleration does not affect tangential velocity?

Is it true for objects in 1D? Because this statement is apparently true in all cases.
 
  • #4
You mentioned tangential velocity, that means it's got a direction associated with it right? So at any given point in a circular motion, the object that has constant speed is facing a new direction, so therefore what is also happening to the acceleration?

An object in 1D with constant speed in only one direction means what for the acceleration?
 
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  • #5
I'm not too familiar with centripetal acceleration at all. But I'm assuming that the centripetal acceleration remains constant.

Does this count as 1D motion? If so, how?
 
  • #6
The magnitude of it would be the same yes, but remember these are vector quantities. If an object is moving in a circular motion, the direction is always changing because it's constantly facing a new direction, this is what tangential velocity refers to. So if it's repeatedly facing a new direction this must mean that the object is accelerating into a new direction, so therefore acceleration is not constant as the direction is always changing.

Movement in a circle is not 1 dimensional, it's 2 dimensional. Plot a circle on a graph, you will require both the x and y axis.
 
  • #7
I edited my earlier posts, I should have been saying constant speed! Not constant velocity, as speed is scalar, and velocity has direction, hope that's not confused you.
 

FAQ: Easy Conceptual Kinematics Problem

What is kinematics?

Kinematics is the branch of physics that studies the motion of objects without considering the causes of motion, such as forces or mass. It focuses on describing the position, velocity, and acceleration of objects.

What is a conceptual kinematics problem?

A conceptual kinematics problem is a type of problem that requires understanding and applying the principles of kinematics, rather than solving equations or using mathematical calculations. These problems often involve analyzing the motion of objects and identifying the relationships between different kinematic variables.

How can I solve an easy conceptual kinematics problem?

To solve an easy conceptual kinematics problem, you should start by clearly understanding the given information and identifying the relevant kinematic variables. Then, use the appropriate kinematic equations to analyze the motion of the object and determine the relationships between the variables. Finally, use your understanding of kinematics principles to interpret the results and answer the problem.

What are some common mistakes when solving conceptual kinematics problems?

Some common mistakes when solving conceptual kinematics problems include using incorrect or incomplete information, misinterpreting the relationships between kinematic variables, and not applying the correct kinematic equations. It is important to carefully read and understand the problem, and to check your calculations and answers for accuracy.

How can I improve my understanding of kinematics?

To improve your understanding of kinematics, it is helpful to practice solving different types of problems, including both conceptual and mathematical problems. You can also review and study the principles of kinematics, such as displacement, velocity, and acceleration, and how they relate to each other. Additionally, using visual aids and real-life examples can also aid in understanding kinematics concepts.

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