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Emz19
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Could anyone help my with proving that the acceleration of an object that is moving with uniform circular motion is directed towards the centre of the circle and is of magnitude ω^2(r). Thanks
Acceleration in circular motion is the rate of change of an object's velocity as it moves along a circular path. It is a vector quantity, meaning it has both magnitude and direction.
The formula for calculating acceleration in circular motion is a = v²/r, where a is the acceleration, v is the velocity, and r is the radius of the circular path. Alternatively, it can also be calculated using a = ω²r, where ω is the angular velocity in radians per second.
The direction of acceleration in circular motion is always towards the center of the circle. This is because the velocity of an object in circular motion is constantly changing, and this change in velocity is always directed towards the center of the circle.
Acceleration in circular motion does not affect an object's speed, but rather its direction of motion. The object's speed remains constant, but its velocity changes as it moves along the circular path.
Yes, an object can have acceleration in circular motion without changing its speed. This occurs when the object's velocity is changing, but its speed remains constant. This is known as uniform circular motion.