Uniform Circular Motion SP 1 Students will analyze

Uniform Circular Motion SP 1. Students will analyze the relationships between force, mass, gravity, and the motion of objects. g. Measure and calculate centripetal force. 1

Uniform Circular Motion Uniform circular motion is the motion of an object traveling at a constant (uniform) speed on a circular path. r Period (T) is the time required to travel once around the circle, that is, to make one complete revolution. 2

Uniform circular motion emphasizes that 1. The magnitude of the velocity vector, is constant 2. Direction of the vector is not constant 3. Change in direction means there is acceleration 4. Centripetal force causes the acceleration and points toward the center of the circle 5. Centripetal acceleration points toward the center of the circle 6. Without the force, there is no acceleration, which means the object would travel in a straight line 3

Centripetal Acceleration The magnitude of the centripetal acceleration (ac) depends on the velocity (v) of the object and the radius (r) of the circular path. 4

A rock tied to a string is traveling at a constant speed of 4. 0 m/s in a circle of radius 1. 5 m. Calculate the magnitude of the centripetal acceleration of the rock. Does the size of the rock matter? How would the acceleration change if… the rock was spun faster? slower? the circle was larger? smaller? 5

Centripetal Force The magnitude of the centripetal force (Fc) depends on the mass (m) and velocity (v) of the object and the radius (r) of the circular path. 6

A 1. 5 kg rock tied to a string is traveling at a constant speed of 2. 0 m/s in a circle of radius 3. 5 m. Calculate the magnitude of the centripetal force on the rock. What is providing the force? How would the force change if… the rock was lighter? heavier? the rock was spun faster? slower? the circle was larger? smaller? 7

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