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How to Apply Uniform Circular Motion

Imagine a top spinning round and round at the same speed even though gravity should be pushing it to the ground. The force keeping it up is uniform circular motion. This concept in physics keeps a circular body spinning at a constant speed. Some are more familiar with the concept of centripetal force, which is a synonym. Although the concept is easy to understand, applying it in physics takes some sophisticated calculations.

Instructions

- 1
  Apply uniform circular motion by solving for the velocity and acceleration of the object in motion. These two components are critical to understand the qualities of the circular force.
- 2
  Determine velocity (speed) with the formula two times pi (circular constant) times the radius divided by the amount of time for one revolution:
  
  v = 2(pi)r / t
- 3
  Assume the radius is three and the time is two seconds. Replace the variables to solve for velocity:
  
  v = 2(pi) (3) / (2)
  
  v = 9.42 units per second
- 4
  Determine the acceleration by squaring the velocity and dividing by the radius of the circle:
  
  v^2/r = a
- 5
  Replace the velocity found in Step 3 and the radius to find acceleration:
  
  (9.42)^2 / 3 = 29.57 units per second per second

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