# A question on circular motion?

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A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9 degrees past the lowest point on its way up, its total acceleration is

#(−22.5+ 20.2j)m/s^2# . At that instant,

(a) sketch a vector diagram showing the components of its acceleration.

(b)determine the magnitude of its radial acceleration.

(c) determine the

speed and velocity of the ball.

A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9 degrees past the lowest point on its way up, its total acceleration is

(a) sketch a vector diagram showing the components of its acceleration.

(b)determine the magnitude of its radial acceleration.

(c) determine the

speed and velocity of the ball.

##### 1 Answer

**Centripetal Acceleration**:

**Speed & Velocity**:

#### Explanation:

(B) **Centripetal Acceleration**:

(C) **Speed & Velocity**: If the object is moving with a uniform speed

This is the speed (magnitude of velocity vector).

The velocity vector is perpendicular to the acceleration vector. Since the velocity vector is tangential to the circle. When the ball is