When sound waves strike the eardrum, this membrane vibrates with the same frequency as the sound. the highest pitch that typical humans can hear has a period of 50.0 μs. what are the frequency and angular frequency of the vibrating eardrum for this sound?

Explanation:

Time period, T = 50 μs = 50 x 10^-6 s

Frequency is defined as the number of oscillations or vibrations completed in one second.

The reciprocal of time period is called frequency.

f = 1 / T

f = 1 / (50 x 10^-6)

f = 20,000 Hz

Angular frequency, ω = 2 x π x f

ω = 2 x 3.14 x 20,000

ω = 125600 rad/s

Frequency:

The cycles or periods cover by an entity is called the frequency,f.

Mathematical equation: f=1/T.

Unit: Hertz,Hz.

Angular frequency:

Basically, to determine the movement of an object which is moving on a circular path, the angular velocity is the cycles or the distance covered between any points on the circular path is called as the angular frequency,ω.

Formula: ω = 2 x π x f.

Units: rad(or degree)/sec.

Explanation:

We have the following data provided to us, as following:

Time period, T = 50 μs,T=50 x 10^-6 s,As, we have f = 1 / Tf = 1 / (50 x 10^-6)f = 20,000 Hz,f=20 kHz.As, we have the following equation to put all the values then;ω = 2 x π x f,ω = 2 x 3.14 x 20,000ω = 125600 rad/s.⇒ Answer

Think about it like the scientific process you did in school. You test out your hypothesis, but if there is a problem, you are proven wrong, or something doesn't go as planned, you have to retrace your steps and retry.