Enter the degradation rate and time period into the calculator to determine the accelerated aging rate.

Accelerated Aging Formula

The following formula is used to calculate the accelerated aging rate:

AR = (1 - (1 - DR)^{(-1/t))} * 100


  • AR is the accelerated aging rate (in percentage)
  • DR is the degradation rate (in decimal form)
  • t is the time period (in years)

To calculate the accelerated aging rate, subtract the degradation rate from 1, raise the result to the power of the inverse of the time period, and subtract the result from 1. Multiply the final result by 100 to convert it to a percentage.

What is an Accelerated Aging?

Accelerated aging is a testing method used to estimate the lifespan or durability of a product by subjecting it to extreme conditions such as elevated temperatures, humidity, light, vibration, and other environmental stressors. This process is often used in industries such as pharmaceuticals, medical devices, packaging, and other manufacturing sectors to predict how long a product will last under normal conditions.

The goal is to identify potential points of failure and address them before the product reaches the market. This method is particularly useful for products that are expected to have a long shelf life, as it allows manufacturers to gather data in a shorter time frame. However, it’s important to note that accelerated aging doesn’t replicate real-time aging perfectly, but it provides a close approximation based on established models and calculations.

How to Calculate Accelerated Aging?

The following steps outline how to calculate Accelerated Aging.

  1. First, determine the initial aging time (t1) in hours.
  2. Next, determine the accelerated aging time (t2) in hours.
  3. Next, determine the initial failure rate (FR1) in failures per hour.
  4. Next, determine the accelerated failure rate (FR2) in failures per hour.
  5. Next, gather the formula from above = Accelerated Aging = (FR2 – FR1) / (t2 – t1).
  6. Finally, calculate the Accelerated Aging.
  7. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Initial aging time (t1) = 100 hours

Accelerated aging time (t2) = 500 hours

Initial failure rate (FR1) = 0.05 failures per hour

Accelerated failure rate (FR2) = 0.2 failures per hour