Answer :
Sure, let's walk through the problem step by step.
### Step-by-Step Solution
1. Understand the Problem:
- We are given the output frequency of an oscillator, which is 7500 cycles per second (also known as Hertz).
- We need to find out how many cycles the oscillator generates in a time interval of 0.35 seconds.
2. Identify the Given Values:
- Output Frequency: 7500 cycles/second
- Time Interval: 0.35 seconds
3. Calculation:
- To find out the number of cycles generated in the given time interval, we multiply the frequency by the time.
- The formula to calculate the number of cycles is:
[tex]\[
\text{Number of cycles} = \text{Frequency} \times \text{Time Interval}
\][/tex]
- Plugging in the values:
[tex]\[
\text{Number of cycles} = 7500 \, \text{cycles/second} \times 0.35 \, \text{seconds}
\][/tex]
4. Perform the Multiplication:
- Calculate:
[tex]\[
7500 \times 0.35 = 2625.0
\][/tex]
So, the oscillator generates 2625 cycles in a 0.35-second interval.
### Final Answer
The oscillator generates 2625 cycles in a 0.35-second interval.
### Step-by-Step Solution
1. Understand the Problem:
- We are given the output frequency of an oscillator, which is 7500 cycles per second (also known as Hertz).
- We need to find out how many cycles the oscillator generates in a time interval of 0.35 seconds.
2. Identify the Given Values:
- Output Frequency: 7500 cycles/second
- Time Interval: 0.35 seconds
3. Calculation:
- To find out the number of cycles generated in the given time interval, we multiply the frequency by the time.
- The formula to calculate the number of cycles is:
[tex]\[
\text{Number of cycles} = \text{Frequency} \times \text{Time Interval}
\][/tex]
- Plugging in the values:
[tex]\[
\text{Number of cycles} = 7500 \, \text{cycles/second} \times 0.35 \, \text{seconds}
\][/tex]
4. Perform the Multiplication:
- Calculate:
[tex]\[
7500 \times 0.35 = 2625.0
\][/tex]
So, the oscillator generates 2625 cycles in a 0.35-second interval.
### Final Answer
The oscillator generates 2625 cycles in a 0.35-second interval.
