The ability to hear a \"pin drop\" is the sign of sensitive hearing. Suppose a 0

Question

The ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.50 g pin is dropped from a height of 30 cm , and that the pin emits sound for 1.4 swhen it lands.
Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.) Express your answer using two significant figures.

The ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.50 g pin is dropped from a height of 30 cm , and that the pin emits sound for 1.4 swhen it lands.
Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.) Express your answer using two significant figures.


The ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.50 g pin is dropped from a height of 30 cm , and that the pin emits sound for 1.4 swhen it lands.
Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.) Express your answer using two significant figures.
The ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.50 g pin is dropped from a height of 30 cm , and that the pin emits sound for 1.4 swhen it lands.
Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.) Express your answer using two significant figures.
The ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.50 g pin is dropped from a height of 30 cm , and that the pin emits sound for 1.4 swhen it lands.
Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.) Express your answer using two significant figures.
Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.) Express your answer using two significant figures.

Explanation / Answer

Given,

The mass of pin = m = 0.5 g = 0.0005 kg

height from which it falls = h = 30 cm = 0.3 m

Sound emitted for time = t = 1.4 s

We know that, I0 = 10-12

We can calculate the Pin's mechanical energy from pin's initial potential enegry

E = mgh = 0.0005 x 9.8 x 0.30= 0.00147 Joules

Energy per unit time = P = E/t =0.00147 / 1.4 = 0.00105 W

Now , from the defination of intensity ; I0 = P / 4 pi r2

So we get , r = sqrt( P / 4 pi I0 ) = sqrt (0.00105/ 4 x 3.14 x 10-12 ) = 9143.2 m

Hence, distance = 9143.2 m = 9.14 km.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.