Final Velocity of a Solid Sphere Rolling Down a Height Calculator

Final Velocity of a Solid Sphere Rolling Down a Height Calculator

Calculate the final velocity of a solid sphere rolling without slipping down a height using the equation:
\[ v = \sqrt{\frac{10gh}{7}} \]

* Enter the height (in m) and gravitational acceleration (in m/s²) in SI units.

Step 1: Enter Parameters

Example: 5 m

Example: 9.81 m/s²

Formula: \( v = \sqrt{\frac{10gh}{7}} \)


Practical Example:
For a height of 5 m and \( g = 9.81 \) m/s², the final velocity is:
\[ v = \sqrt{\frac{10 \times 9.81 \times 5}{7}} \approx \sqrt{70.07} \approx 8.37\, \text{m/s} \]