Final answer:
The counterclockwise circulation around a circle of radius 5 centered on the origin is 360 degrees.
Step-by-step explanation:
The counterclockwise circulation around a circle of radius 5 centered on the origin is 360 degrees (option E).The question asked is: What is the angle formed between the vectors of tangential velocity and centripetal force? The answer is 90 degrees (C).
This is because in circular motion, the tangential velocity is always directed along the tangent to the path of the object's motion, whereas the centripetal force is directed towards the center of the circle. The two are always perpendicular to each other, forming a 90-degree angle.
When a point moves around a circle in the counterclockwise direction, it completes a full revolution of 360 degrees. Since the circle in question has a radius of 5,
the distance traveled around the circumference of the circle is equal to the circumference of the circle, which is given by the formula C = 2πr, where r is the radius. In this case, C = 2π(5) = 10π. So, the point completes a counterclockwise circulation of 10π, which is equal to 360 degrees.
Therefore, the counterclockwise circulation around the circle of radius 5 centered on the origin is 360 degrees.