Do Perpendicular Velocities Affect Relative Motion?

In summary, the perpendicular velocities of two people traveling with respect to each other in an inertial frame will not be the same when their relative velocity is calculated using the formula v^12+v2^2. This is because the result of v^12+v2^2 does not have the units of velocity and more information about the background and calculation is needed to provide further assistance.
  • #1
rashida564
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TL;DR Summary
Is perpendicular velocities stay the same
Let's say we have two people that travel with respect to each, other in some inertial frame. So if we took the relative velocity of them will they be the same in as v^12+v2^2
 
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  • #2
rashida564 said:
Summary:: Is perpendicular velocities stay the same

Let's say we have two people that travel with respect to each, other in some inertial frame. So if we took the relative velocity of them will they be the same in as v^12+v2^2
No. If you tell us a bit more about your background and how you arrived at your result it would be easier to help you.

Also note that ##v_1^2 + v_2^2## is not a velocity, it has the units of velocity squared.
 

What is a perpendicular velocity?

A perpendicular velocity is the component of an object's motion that is perpendicular, or at a right angle, to its direction of motion. It is often represented by the letter vp.

How is perpendicular velocity calculated?

Perpendicular velocity can be calculated using the formula vp = v * sinθ, where v is the object's velocity and θ is the angle between the object's direction of motion and the direction of the perpendicular component.

What is the relationship between perpendicular velocity and angular velocity?

Perpendicular velocity and angular velocity are related through the formula vp = r * ω, where r is the distance from the object to the axis of rotation and ω is the angular velocity. This formula is based on the concept of tangential velocity, which is the velocity of an object moving in a circular path.

How does perpendicular velocity affect motion in circular motion?

In circular motion, perpendicular velocity is responsible for the centripetal acceleration that keeps the object moving in a circular path. The magnitude of the perpendicular velocity also determines the radius of the object's circular path.

What are some real-life applications of perpendicular velocities?

Perpendicular velocities are important in many fields, such as physics, engineering, and astronomy. They are used in the design of roller coasters, satellites, and planetary orbits. They also play a role in sports, such as in the trajectory of a basketball shot or the spin of a golf ball.

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