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Mechanics Formula

What is Centripetal Force?

Any object in circular motion requires a net inward force called centripetal force.

Formula: F_c = \frac{mv^2}{r}

Plain-English Meaning

Any object in circular motion requires a net inward force called centripetal force.

Mechanics questions usually become easier once you identify whether the problem is about force balance, kinematics, energy, or conservation.

Deeper Explanation

Any object in circular motion requires a net inward force called centripetal force.

Worked Example

Problem: A 0.5 kg ball moves in a circle of radius 1.2 m at 3 m/s. What centripetal force is required?

  • F_c = mv²/r
  • F_c = 0.5 × 9 / 1.2
  • F_c = 3.75 N

Result: 3.75 N

At A Glance

Category: Mechanics

Levels covered:

Best use: Start with the formula meaning, then move to the worked example and quiz so the equation turns into a tool instead of a memorised line.