Practice Frequency in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The number of complete cycles a periodic function completes per unit of its input variable; the reciprocal of the period, .
Frequency counts how many complete cycles occur per unit of the horizontal axis — higher frequency means the wave oscillates more rapidly in the same space or time.
Showing a random 20 of 76 problems.
Example 1
mediumWrite a cosine model with amplitude and period , where is the variable.
Example 2
easyFind the period of .
Example 3
mediumFind the period of .
Example 4
easyA wave completes cycles per second. What is its frequency?
Example 5
mediumTwo waves have frequencies Hz and Hz. How do their periods compare?
Example 6
easyFind the period of .
Example 7
mediumA pendulum makes swings in s. Find its frequency and period.
Example 8
mediumWhat is the angular frequency of a wave with frequency ?
Example 9
mediumA wave has wavelength and frequency . Find its speed.
Example 10
mediumFrequency is Hz. Find the period.
Example 11
mediumAngular frequency rad/s. The frequency is ___ Hz.
Example 12
easyA wave has period s. Find its frequency.
Example 13
easyWhich has a shorter period: or ?
Example 14
mediumFind the period of .
Example 15
hardTwo tones and are heard together. What is the beat frequency?
Example 16
easyWhat is the period of ?
Example 17
challengeTwo waves of frequencies and are superimposed. How many beats per second are heard, and what is the average tone frequency?
Example 18
easyFind the frequency (in cycles per unit) of .
Example 19
easyConvert to hertz.
Example 20
mediumA pendulum swings with period s. Find its frequency.