Question

If a sound wave has frequency 300 hertz then calculate its time period and angular velocity

Answer 1

$\huge{\underline{\underline{Question\::-}}}$

If a sound wave has a frequency of 300 Hertz then calculate it's Time Period and Angular Velocity .

$\huge{\underline{\underline{Answer\::-}}}$

$\underline{\underline{Given\::-}}$

• Frequency of wave = 300 Hertz

$\underline{\underline{Solution\::-}}$

♦ To solve this we need to know these :-

• What is Time Period ?

>> The time taken to complete one cycle of vibration

• What is the relationship between Time Period and Frequency ?

>> Time Period = $\bold{\dfrac{1}{Frequency}}$

• What is Angular Velocity ?

>> The rate of change of angular position of a rotating body is called Angular Velocity

• How to find Angular Velocity ?

>> $\omega = 2 \pi f$

♦ Now finding out Time Period

As Frequency = 300 Hertz

=> Time Period = $\bold{\dfrac{1}{Frequency}}$

=> Time Period = $\bold{\dfrac{1}{300}}$

=> Time Period = 0.00333.... sec

♦ Now finding out Angular Velocity

As Frequency = 300 Hertz

=> $\omega = 2 \pi f$

=> $\omega = 2 \pi 300$

=> $\omega = 600 \pi$

=> $\omega = 600 \times \dfrac{22}{7}$

=> $\omega = \dfrac{13200}{7}$

=> $\omega = 1885.71428$

=> $\omega$ = 1885.71428 radian per second