Answer :
To solve this problem, we need to find out how many revolutions the air-conditioning fan will make if it runs for 30 minutes, knowing it makes 125 revolutions per second. Here's how we can calculate it step-by-step:
1. Identify the number of revolutions per second: The fan makes 125 revolutions every second.
2. Convert the time from minutes to seconds: Since there are 60 seconds in a minute, for 30 minutes:
[tex]\[
30 \text{ minutes} \times 60 \text{ seconds/minute} = 1800 \text{ seconds}
\][/tex]
3. Calculate the total revolutions: Multiply the number of seconds by the number of revolutions the fan makes per second:
[tex]\[
1800 \text{ seconds} \times 125 \text{ revolutions/second} = 225,000 \text{ revolutions}
\][/tex]
Based on this calculation, the fan will make 225,000 revolutions if it runs for 30 minutes. Therefore, the correct answer is 225,000 revolutions.
1. Identify the number of revolutions per second: The fan makes 125 revolutions every second.
2. Convert the time from minutes to seconds: Since there are 60 seconds in a minute, for 30 minutes:
[tex]\[
30 \text{ minutes} \times 60 \text{ seconds/minute} = 1800 \text{ seconds}
\][/tex]
3. Calculate the total revolutions: Multiply the number of seconds by the number of revolutions the fan makes per second:
[tex]\[
1800 \text{ seconds} \times 125 \text{ revolutions/second} = 225,000 \text{ revolutions}
\][/tex]
Based on this calculation, the fan will make 225,000 revolutions if it runs for 30 minutes. Therefore, the correct answer is 225,000 revolutions.
