Question

The velocity of sound in air is 332 m/s. If the unit of length is km and unit of time is hour, then the value of velocity is:

Answer 1

Hint: In this question, we will use the relation between meter- kilometer and second- hour, this will help us to deduce the given value of velocity of sound in different units. Further, we will discuss the basics of sound and velocity. Also, we will learn about the speed of sound, for our better understanding.
Formula used:
$1m = {10^{ - 3}}km$
$1s = \dfrac{1}{{3600}}hr$

Complete answer:
We know that:
$1m = {10^{ - 3}}km$
Also,
$1s = \dfrac{1}{{3600}}hr$
Now, the value of velocity in kilometer per unit hour is given as:
 $v = 332\dfrac{m}{s}$
$\eqalign{& \Rightarrow v = 332 \times \dfrac{{{{10}^{ - 3}}km}}{{\dfrac{1}{{3600}}hr}} \cr
  & \therefore v = 1195km/h \cr} $
Therefore, we get the required result, which gives the value of velocity in kilometers per unit hour.

Additional information:
We know the basic difference of speed and velocity i.e., speed is the measure of how fast an object can travel, whereas velocity tells us the direction of this speed. Speed is a scalar quantity that means it has only magnitude, whereas velocity is a vector quantity that means it has both magnitude and direction. The S.I unit of velocity is meter per second (m/sec).
Also we know that the supersonic speed is the speed of an object that exceeds the speed of sound. In an object which is traveling in dry air at a temperature of 20 °C or 68 °F at sea level, this speed is approximately 343.2 m/s. Further, speed that is greater than five times the speed of sound is referred to as hypersonic.
Further, we can also understand this concept by observing the vehicles that are flying at supersonic speeds are flying faster than the speed of sound. The speed of sound is about 768 miles per hour or 1236 kilometers per hour, at sea level. These speeds are called the Mach numbers. The Mach number is defined as the ratio of the speed of the aircraft to the speed of the sound.

Note:
Here we should notice that the speed of sound is different in different mediums. Further, the speed that is more than the speed of sound is termed differently like- supersonic, hypersonic etc. we should also remember that the speed of light cannot be achieved by any other transport or object.