What is the angle between the velocity vector and the acceleration vector of an object moving in uniform circular motion?

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Q: What is the angle between the velocity vector and the acceleration vector of an object moving in uniform circular motion?

Solution: In uniform circular motion, velocity is tangential and acceleration is radial, hence the angle is 90°.

Steps: 5

Step 1: Understand that uniform circular motion means an object is moving in a circle at a constant speed.
Step 2: Identify the direction of the velocity vector. In circular motion, the velocity vector points tangentially to the circle at any point.
Step 3: Identify the direction of the acceleration vector. In uniform circular motion, the acceleration vector points towards the center of the circle (this is called centripetal acceleration).
Step 4: Visualize the two vectors. The velocity vector (tangential) and the acceleration vector (radial) are perpendicular to each other.
Step 5: Conclude that since the two vectors are perpendicular, the angle between the velocity vector and the acceleration vector is 90°.