Singing that is off-pitch by more than about 1% sounds bad. How fast would a singer have to be moving relative to the rest of a band to make this much of a change in pitch due to the Doppler effect

-3.396 m/s or 3.465 m/s

Explanation:

v = Speed of sound in air = 343 m/s

= Relative speed of the singer

f = Observed frequency

f' = Actual frequency

1% change can mean

From the Doppler effect equation we have

The velocity is -3.396 m/s

when

The velocity is 3.465 m/s

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.