A jet plane flies overhead at Mach 1.70 and at a constant altitude of 950 m. (a) What is the angle a of the shock-wave cone? (b) How much time after the plane passes directly overhead do you hear the sonic boom? Neglect the variation of the speed of sound with altitude.
Solution 55E Step 1 The angle of the shock wave cone created by a moving object, moving with speed greater than the speed of sound is given by Here v is the speed of sound and vsis the speed of the source. Here, the jet plane is moving at a speed of mach 1.70. Hence we have v = 1.70v s So, the angle of the cone of the shock wave is given by