The total acceleration of a ball whirled in an inclined vertical circle is the combination of two types of acceleration: centripetal acceleration and tangential acceleration. Centripetal acceleration is the acceleration towards the center of the circle, while tangential acceleration is the acceleration along the tangent of the circle.
The angle of inclination affects the magnitude of the total acceleration. As the angle of inclination increases, the centripetal acceleration decreases while the tangential acceleration increases. This results in a higher total acceleration for the ball.
Yes, the total acceleration of a ball in an inclined vertical circle can be zero when the ball is at the top or bottom of the circle. At these points, the centripetal acceleration is equal in magnitude but opposite in direction to the tangential acceleration, resulting in a net acceleration of zero.
The speed of the ball affects the magnitude of the total acceleration. As the speed increases, both the centripetal and tangential accelerations increase, resulting in a higher total acceleration for the ball.
The radius of the circle has a direct relationship with the total acceleration of the ball. As the radius decreases, the total acceleration increases. This is because a smaller radius requires a higher centripetal acceleration to keep the ball moving in a circle.