Calculate rebound ratio, bounce height, drop height, coefficient of restitution, and multi-bounce heights from drop and rebound measurements.

Vertical drops onto a stationary surface, negligible air drag and no added energy. Multi-bounce predictions assume the same rebound fraction each time. Presets are illustrative, not material specifications.

Rebound Ratio Formula

The following formula is used to calculate the Rebound Ratio. 

REBR = HB / HD × 100
  • Where REBR is the Rebound Ratio (%)
  • HB is the height of the first bounce 
  • HD is the height of the drop 

To calculate the rebound ratio, divide the first-bounce height by the drop height and multiply by 100. For a vertical passive drop, e = √(HB/HD); the height ratio is e². Multi-bounce distance ends at the last apex and assumes a constant ratio below 100%. Material presets are illustrative, not specifications.

How to Calculate Rebound Ratio?

The following example problems outline how to calculate Rebound Ratio.

Example Problem #1:

  1. First, determine the height of the first bounce.
    • The height of the first bounce is given as 150.
  2. Next, determine the height of the drop.
    • The height of the drop is provided as 200.
  3. Finally, calculate the Rebound Ratio using the equation above: 

REBR = HB / HD * 100

The values given above are inserted into the equation below and the solution is calculated:

REBR = 150 / 200 * 100 = 75.00 (%)

Example Problem #2: 

For this problem, the variables required are provided below:

height of the first bounce = 150

height of the drop = 300

Test your knowledge using the equation and check your answer with the calculator above.

REBR = HB / HD * 100 = ?