Word Problem regarding The Doppler Effect?
1 Answer
Explanation:
Step 1
The problem describes a sound that is moving toward a stationary observer with an air temperature of
#color(blue)(|bar(ul(color(white)(a/a)color(black)(v_s=331m/s+((0.6m/s)/(color(white)(i)^@C))xx"temperature")color(white)(a/a)|)))#
Using the formula, the speed of the sound waves is:
#color(darkorange)(v_s)=331m/s+((0.6m/s)/(color(white)(i)^@C))xx15^@C#
#=color(darkorange)(340m/s)#
Step 2
Since the Doppler effect results in a change in the perceived frequency between the source and the observer, we can use the Dopper Effect formula for sound. The sign in the denominator will be a subtraction sign since the source is moving toward the observer:
#color(blue)(|bar(ul(color(white)(a/a)color(black)(f_d=(v_s/(v_s-v_o))f)color(white)(a/a)|)))#
#ul("where:")#
#f_d=# frequency detected by observer
#v_s=# speed of sound wave
#v_o=# speed of object
#f=# frequency at source
#f_d=((color(darkorange)(340m/s))/(color(darkorange)(340m/s)-25m/s))300.0Hz#
#~~color(green)(|bar(ul(color(white)(a/a)color(black)(320Hz)color(white)(a/a)|)))#
Since the detected frequency is higher than