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Sagar98
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How do you find the angle b/w tangential acceleration and total acceleration vector, Or angle between velocity vector and Acceleration vector. I'm really confused about this and no one's helping.
Sagar98 said:Thanks and What if it's undergoing uniform tangential acceleration? Then how does the angle vary?
Circular motion is a type of motion in which an object moves along a circular path. This path can be either a perfect circle or an arc. In circular motion, the object's speed or velocity remains constant, but its direction changes continuously.
In circular motion, the direction of the velocity vector is always tangent to the circular path, while the acceleration vector points towards the center of the circle. This means that the acceleration and velocity vectors are perpendicular to each other, and their magnitudes are related by the equation a = v^2/r, where a is the acceleration, v is the velocity, and r is the radius of the circle.
The angle between acceleration and velocity in circular motion can be calculated using the equation θ = tan^-1(a/v^2), where θ is the angle, a is the acceleration, and v is the velocity. This angle is constantly changing as the object moves along the circular path.
Centripetal force is the force that keeps an object moving along a circular path. In circular motion, this force is directed towards the center of the circle and is responsible for continuously changing the direction of the object's velocity. It is calculated using the equation F = mv^2/r, where F is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circle.
The radius of the circle has a direct impact on circular motion. As the radius decreases, the centripetal force and acceleration increase, causing the object to move faster. On the other hand, a larger radius results in a smaller centripetal force and acceleration, leading to a slower movement. Additionally, the radius also affects the angle between acceleration and velocity, with a larger radius resulting in a smaller angle and vice versa.