Math Problem Statement

An signal generator, a device that produces electronic signal with specific characteristics, is set at 50 Hz. What is the period of this signal?

Solution

The period TT of a signal is the reciprocal of its frequency ff. The formula is:

T=1fT = \frac{1}{f}

Where:

  • TT is the period (in seconds),
  • ff is the frequency (in Hz).

Given that the frequency of the signal generator is 50 Hz, we can calculate the period as follows:

T=150=0.02 secondsT = \frac{1}{50} = 0.02 \text{ seconds}

So, the period of the signal is 0.02 seconds.


Would you like further details on this, or have any other questions? Here are some related questions you might find interesting:

  1. How does frequency affect the wavelength of a signal?
  2. What is the relationship between frequency and the speed of sound?
  3. How does the period of a signal relate to its oscillations over time?
  4. How do you calculate the frequency if the period is given?
  5. What is the difference between period and frequency in wave motion?

Tip: To convert from frequency to period (and vice versa), remember the relationship T=1fT = \frac{1}{f}.

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Math Problem Analysis

Mathematical Concepts

Frequency
Period
Reciprocal Functions

Formulas

T = 1/f

Theorems

Reciprocal relationship between frequency and period

Suitable Grade Level

Grades 6-8