sound travels through cold air at about 1190 kilometers per hour. that means that a sound can travel the length of three football fields in about a second. Some machines, such as jet planes, can travel faster than sound. the world's fastest train can travel 574.8 kilometers per hour. how much faster would it have to go to match the speed of sound in air?

Question

sound travels through cold air at about 1190 kilometers per hour. that means that a sound can travel the length of three football fields in about a second. Some machines, such as jet planes, can travel faster than sound. the world's fastest train can travel 574.8 kilometers per hour. how much faster would it have to go to match the speed of sound in air?

Answer 1

1190 km/hr - 574.8 km/hr = ?

Answer 2

To calculate how much faster the world's fastest train would have to go to match the speed of sound in air, we first need to convert the speed of sound from kilometers per hour to the unit of measurement used for the train's speed.

The speed of sound in air is approximately 1190 kilometers per hour.

Now, let's calculate how many meters per second sound travels. Since there are 1000 meters in a kilometer and 3600 seconds in an hour, we can convert kilometers per hour to meters per second using the following formula:

Speed of sound (m/s) = Speed of sound (km/h) * (1000 m / 1 km) * (1 h / 3600 s)

Speed of sound (m/s) ≈ 1190 km/h * (1000 / 1) * (1 / 3600) ≈ 331.1 m/s

Now, let's calculate how much faster the train would have to go:

Additional speed required for the train (m/s) = Speed of sound (m/s) - Speed of the world's fastest train (m/s)

Additional speed required for the train (m/s) ≈ 331.1 m/s - 574.8 km/h * (1000 / 1) * (1 / 3600) ≈ 331.1 m/s - 159.67 m/s ≈ 171.43 m/s

Therefore, the world's fastest train would have to go approximately 171.43 meters per second faster to match the speed of sound in air.

Answer 3

To find out how much faster the world's fastest train would need to go to match the speed of sound in air, we first need to calculate the difference between the two speeds.

The speed of sound in air is approximately 1190 kilometers per hour.

The speed of the world's fastest train is 574.8 kilometers per hour.

To find the difference, subtract the speed of the train from the speed of sound:

1190 km/h - 574.8 km/h = 615.2 km/h

Therefore, the world's fastest train would need to go approximately 615.2 kilometers per hour faster to match the speed of sound in air.