Calculate the distance traveled in 6.00 s as a given sound moves through (a) water at 25.0ºC
in m/s; (b) water at 25.0ºC in ft/s; (c) seawater at 25ºC in m/s; and (d) seawater at 25ºC in
ft/s.
Compare the distance traveled in 9.72 s as a given sound moves through
To calculate the distance traveled by sound, we can use the formula:
Distance = Speed x Time
(a) To calculate the distance traveled in water at 25.0ºC in m/s, we need to know the speed of sound in water. The speed of sound in water is approximately 1,498 m/s.
Distance = 1,498 m/s x 6.00 s
Distance = 8,988 meters
Therefore, the distance traveled in water at 25.0ºC is 8,988 meters.
(b) To calculate the distance traveled in water at 25.0ºC in ft/s, we need to convert the speed of sound from m/s to ft/s. 1 meter is equal to approximately 3.281 feet.
Speed of sound in water in ft/s = 1,498 m/s x 3.281 ft/m
Speed of sound in water in ft/s = 4,908.038 ft/s
Distance = 4,908.038 ft/s x 6.00 s
Distance = 29,448.228 feet
Therefore, the distance traveled in water at 25.0ºC is 29,448.228 feet.
(c) To calculate the distance traveled in seawater at 25ºC in m/s, we need to know the speed of sound in seawater. The speed of sound in seawater is approximately 1,530 m/s.
Distance = 1,530 m/s x 6.00 s
Distance = 9,180 meters
Therefore, the distance traveled in seawater at 25ºC is 9,180 meters.
(d) To calculate the distance traveled in seawater at 25ºC in ft/s, we need to convert the speed of sound from m/s to ft/s.
Speed of sound in seawater in ft/s = 1,530 m/s x 3.281 ft/m
Speed of sound in seawater in ft/s = 5,019.93 ft/s
Distance = 5,019.93 ft/s x 6.00 s
Distance = 30,119.58 feet
Therefore, the distance traveled in seawater at 25ºC is 30,119.58 feet.
To calculate the distance traveled by sound in a given medium, we can use the formula:
Distance = Speed × Time
To find the speed of sound in different mediums, we need the following information:
1. Speed of sound in water at 25.0ºC:
The speed of sound in water depends on various factors, including temperature. At 25.0ºC, the speed of sound in water is approximately 1,482 meters per second (m/s).
(a) To calculate the distance in m/s:
Distance = Speed × Time
Distance = 1,482 m/s × 6.00 s
Distance = 8,892 meters
(b) To calculate the distance in ft/s:
To convert the distance from meters to feet, we need to know that 1 meter is approximately equal to 3.281 feet.
So, 1 m/s ≈ 3.281 ft/s.
Distance = Speed × Time
Distance = 1,482 m/s × 3.281 ft/s × 6.00 s
Distance ≈ 29,077 feet
2. Speed of sound in seawater at 25ºC:
The speed of sound in seawater is slightly higher than in pure water due to differences in density and composition. At 25ºC, the speed of sound in seawater is approximately 1,530 meters per second (m/s).
(c) To calculate the distance in m/s:
Distance = Speed × Time
Distance = 1,530 m/s × 6.00 s
Distance = 9,180 meters
(d) To calculate the distance in ft/s:
Distance = Speed × Time
Distance = 1,530 m/s × 3.281 ft/s × 6.00 s
Distance ≈ 31,184 feet
So, the distances traveled by sound in different mediums are as follows:
(a) In water at 25.0ºC: 8,892 meters
(b) In water at 25.0ºC: 29,077 feet
(c) In seawater at 25ºC: 9,180 meters
(d) In seawater at 25ºC: 31,184 feet