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(II) A space probe enters the thin atmosphere of a planet where the speed of sound is only about 45 $\mathrm{m} / \mathrm{s}$ . (a) What is the probe's Mach number if its initial speed is $15,000 \mathrm{km} / \mathrm{h} ?$(b) What is the angle of the shock wave relative to the direction of motion?

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Physics 101 Mechanics

Chapter 16

Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

University of Washington

Hope College

University of Sheffield

University of Winnipeg

Lectures

08:15

In physics, sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can only hear sound waves as distinct pitches when the frequency lies between about 20 Hz and 20 kHz. Sound above 20 kHz is known as ultrasound and has different physical properties from sound below 20 kHz. Sound waves below 20 Hz are called infrasound. Different species have different hearing ranges. In terms of frequency, the range of ultrasound, infrasound and other upper limits is called the ultrasound.

04:49

In physics, a traveling wave is a wave that propogates without a constant shape, but rather one that changes shape as it moves. In other words, its shape changes as a function of time.

03:49

A space probe enters the t…

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(II) A space probe enters …

01:40

A large meteoroid enters t…

04:14

(II) An airplane travels a…

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A jet plane passes over yo…

03:12

An airplane travels at Mac…

A meteoroid the size of a …

01:44

05:22

05:53

03:03

$A F$ fet plane passes ove…

03:48

The shock-wave cone create…

in, but a off this problem, we are us to find the mash number. Magic number back number represented by M. Mac number is defined as it were lost he off or a speed of an object producing a sound and or the sound speed, which is, uh, represented by V s. So, um, the speed of sound. It is given 45 meter 45 meters per second. And by plugging the speed off the object even and converting into a meter per second, then Magnum, where we get here is approximately approximately 93. But be we are asked to find what is the angle off the shockwave related to their direction off the motion. So we have to find the angle. You know, the relationship off a object speed to the sound is, uh, speed of the sound or the speed of an object. Then we can write the dead, uh, which is simply sign in worse off signing your social. This very but we know this is simply one or M. This is a one or a mac number, so we can just like the one we're in here. And, uh, we know we already found the value off em here. So we can plug this value here 93 and find one over 93 take the in. Worse off that, then the angle here we get here is 0.6 two degrees. End off the problem. Thank you for watching.

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