A sound wave travels at 340 m/sec and has a wavelength of 2.5 meters. Calculate its frequency and period.

136Hz

0.0074s

Explanation:

Given parameters:

Velocity of the wave  = 340m/s

Wavelength  = 2.5m

Unknown:

Frequency and period  = ?

Solution:

To solve this problem, we use the wave velocity equation;

    V  = F ∧  

V is the velocity

F is the frequency

∧ is the wavelength

  Let us find the frequency

   340  = F x 2.5

        F  = 136Hz

Period is the inverse of frequency;

    Period =   = 0.0074s

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y