Final answer:
The power rating of the clothes dryer is calculated by dividing the energy used to dry the towels (6,750,000 Joules) by the time in seconds (2700 seconds), resulting in a power rating of 2,500 Watts or 2.5 Kilowatts.
Step-by-step explanation:
The question asks us to calculate the power rating of a clothes dryer using the energy consumed and the time it takes to dry a load of towels. The formula to use here is Power (P) = Work done (W) / Time (t). First, we need to convert the drying time from minutes to seconds. Since there are 60 seconds in a minute, the dryer runs for 45 minutes * 60 seconds/minute = 2700 seconds.
Next, we can use the formula to find the power rating.
P = W / t
P = 6,750,000 J / 2700 s
P = 2,500 Watts (W)
Therefore, the power rating of the clothes dryer is 2,500 Watts or 2.5 Kilowatts.