An oscillator is a device that generates an AC signal at some specified frequency. If the​ oscillator's output frequency is 7100 cycles per second​ (hertz), how many cycles does it generate in a 0.31 sec​ interval?
Question content area bottom
Part 1
​Thus,

enter your response here cycles generated by an oscillator in a 0.31 sec interval.

To determine how many cycles the oscillator generates in 0.31 seconds, you can use the formula:

\[
\text{Number of cycles} = \text{frequency} \times \text{time}
\]

Here, the frequency is 7100 Hz (or cycles per second), and the time is 0.31 seconds. Plugging these values into the formula:

\[
\text{Number of cycles} = 7100 \, \text{Hz} \times 0.31 \, \text{sec}
\]

\[
\text{Number of cycles} = 2201 \, \text{cycles}
\]

Thus, the oscillator generates **2201 cycles** in a 0.31-second interval.

Would you like more details or have any questions?

---

Here are 5 related questions for further exploration:

1. What is the formula for calculating frequency if the number of cycles and time are known?
2. How would the number of cycles change if the frequency were doubled?
3. What is the time period of the oscillator that produces a 7100 Hz signal?
4. How does the amplitude of an AC signal relate to the number of cycles produced?
5. What is the phase difference in a wave with the same frequency but shifted by 90 degrees?

**Tip:** In wave mechanics, frequency is inversely proportional to the time period, i.e., \( f = \frac{1}{T} \), where \( T \) is the time period of the wave.

An oscillator is a device that generates an AC signal at some specified frequency. If the oscillator's output frequency is 7100 cycles per second (hertz), how many cycles does it generate in a 0.31 sec interval?

Find out how to calculate the number of cycles generated by an oscillator with a frequency of 7100 Hz in a 0.31-second interval. This solution explains key concepts like frequency, time, and cycles, using the formula: Number of cycles = Frequency × Time.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation