A typical modern couch is known to burn very well, using a t2 growth rate curve, how long will it take for a fire to reach 750 kilowatts if it has an effective ignition time of 2 minutes assuming an ultrafast growth rate? Provide numerical answer with units of seconds, do not include units in input, submit number only. Round answer to the nearest second.
Using the t2 growth rate curve and assuming an ultrafast growth rate, the time it will take for a fire to reach 750 kilowatts can be calculated using the following equation:
t = 120 * ln(750/k)
Where t is the time in seconds, k is the fire load in kilowatts per square meter.
Assuming a fire load of 2 kilowatts per square meter for a typical modern couch, we have:
k = 2
Therefore, t = 120 * ln(750/2) = 1,097 seconds
Rounding to the nearest second, the answer is: 1,097 seconds.