Question

The frequency of a sound wave is 300 Hz and the room temperature is 30 Celsius. What is the wavelength of this sound wave. Two children stretch a jump rope between them and send wave pulses back and forth. The rope is 4 meters long and its mass is .4 kg and the force exerted on it by the children is 50 N. What is the speed of the waves on the rope?

Answer 1

Answer:

Explanation:

Velocity of sound wave at 30 degree = 350 m /s

frequency of sound = 300 Hz .

wavelength  of sound in air. = velocity / frequency

= 350 / 300

= 1.167 m

for wave formed in the rope :

velocity of wave in the rope

= $\sqrt{\frac{T}{m} }$  

T is tension in the rope and m is mass per unit length .

m = .4 / 4

= .1

Putting the given values in the equation above

v = $\sqrt{\frac{50}{.1} }$

v = 22.36 m /s .

velocity of wave in the rope.

= 22.36 m /s .