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Acceleration is tangent to the path because it is a measure of the rate of change of velocity. By being tangent to the path, acceleration describes how the direction or speed of an object is changing as it moves along a curved path. The tangential component of acceleration is responsible for changes in speed, while the normal component of acceleration is responsible for changes in direction.
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What does a tangent to a velocity-time graph measure?
It will measure acceleration in the direction towards or away from the origin.
When an object is traveling in a circular path around another object?
Yes an object can be accelerate if its moving along a curve path because when the object moves along a curve path it has constant speed and there is still change in velocity and change in velocity has acceleration
How is instantaneous acceleration related to a velocity-time graph?
Acceleration is the derivative of velocity (a=dv/dt). If you are not familiar with calculus then it would be sufficient to say that the slope of the line tangent to the graph, only touches at one point, is equal to the instantaneous acceleration.
How would one determine Acceleration from a V-t Graph?
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
Why is velocity tangential to the path of a body?
Velocity is a vector; having direction. So, when changing direction constatly to have velocity a tangent can be drawn to the constantly changing path of the object having velocity.
What is meant by centripetal acceleration is perpendicular to velocity?
As an object goes round in a circular path, then its velocity will along the tangent at that instant. But centripetal acceleration is normal to that tangent and so along the radius of curvature. As acceleration is perpendicular to the velocity, the direction aspect is ever changing and so the object goes round the circular path.
Why the velocity and acceleration of body moving with uniform speed in circular path will be mutually perpendicular?
The velocity of an object moving in a circular path is always tangent to the circle at that point. Meanwhile, the acceleration of the object is directed towards the center of the circle, called centripetal acceleration. Since the velocity is tangent to the circle and the acceleration is pointing towards the center, they will be mutually perpendicular.
What is the difference between centripetal acceleration and tangential acceleration in circular motion?
Centripetal acceleration is the acceleration directed towards the center of a circular path, while tangential acceleration is the acceleration along the tangent of the circle, perpendicular to the centripetal acceleration.
When are velocity and acceleration perpendicular to each other?
Velocity and acceleration are perpendicular to each other when the magnitude of the acceleration is equal to the centripetal acceleration required for circular motion, and the direction of the acceleration is towards the center of the circular path while the velocity is tangent to the path. This occurs in uniform circular motion.
Objects that move along a circular path are they accelerated toward the outer edge of the circle?
Actually, objects moving around a circular path have two accelerations i.e. radial acceleration and tangential acceleration. Radial acceleration is towards the radius whereas tangential acceleration is the acceleration along the direction of the tangent to the path of the motion. So, I would say yes, they are accelerated towards the outer edge of the circle.
When an object is in circular motion which direction is its acceleration?
The acceleration of an object in circular motion is directed towards the center of the circle. This centripetal acceleration is responsible for constantly changing the object's direction, while the object's velocity remains tangent to its circular path.
What is an example of tangential and centripetal acceleration?
If an object follows a circular path, it must have a centripetal force on it to keep it moving in a circle. Centripetal means "toward the center of the circle". The force causes Centripetal acceleration toward the center witch is along the radius of the circular path. Tangential acceleration occurs at a Tangent to the circular path and is always perpendicular to the centripetal acceleration. Always perpendicular to the radius of the circle.
What does a tangent to a velocity-time graph measure?
It will measure acceleration in the direction towards or away from the origin.
How does linear acceleration relate to angular acceleration in rotational motion?
Linear acceleration and angular acceleration are related in rotational motion through the concept of tangential acceleration. In rotational motion, linear acceleration is the rate of change of linear velocity, while angular acceleration is the rate of change of angular velocity. Tangential acceleration is the component of linear acceleration that is tangent to the circular path of rotation, and it is related to angular acceleration through the equation at r , where at is the tangential acceleration, r is the radius of the circular path, and is the angular acceleration. This relationship shows that as the angular acceleration increases, the tangential acceleration also increases, leading to changes in the linear velocity of the rotating object.
What is the direction of a body when moving in circular path?
The direction of a body moving in a circular path is constantly changing due to centripetal acceleration. At any point in the circle, the body is moving tangent to the circle, while the acceleration is directed towards the center of the circle.
How would you obtain the acceleration of an object from a velocity time graph?
The average acceleration can be obtained by finding the slope of the graph. The instantaneous acceleration is found by drawing a tangent to a particular point on the graph (instant) and finding the slope of than tangent.
What is meant by 'tangent to the path?
In mathematics, a tangent to a path refers to a line that touches the path at a single point without crossing through it. It represents the instantaneous direction of motion at that point on the path. Tangents are often used in calculus to calculate rates of change or slopes of curves at specific points. In physics, tangents to the path of a moving object can represent its velocity or acceleration at a given moment.
