A sonar echo takes 2.2 s to return from a whale. How far away is the whale?
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Answer:
- d = Vs x T/2
- d = Vs x T/2= 1531 x 2.2/2
- d = Vs x T/2= 1531 x 2.2/2 = 1684 m
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The whale is nearly equal to 1650 meters away from the sonar source.
The sonar echo goes to the whale and returns because it takes 2.2 seconds to return from the whale. By dividing the entire distance covered by the sound wave by two, we can calculate the distance to the whale.
As sound travels through water at a speed of around 1500 metres per second, the sound wave's total distance travelled is:
distance = speed x time
distance = 1500 m/s x 2.2 s
distance = 3300 meters
By dividing this by 2, we get:
distance to whale
= 3300 m / 2
= 1650 meters
Therefore, the whale is nearly equal to 1650 meters away from the sonar source.
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