A gatling gun fires at a rate of 2000 rounds per minute. If the bullets travel at a speed of 800m/s, how far apart are the bullets?
To determine how far apart the bullets are, we need to calculate the time it takes for each bullet to travel a certain distance.
First, let's convert the rate of fire from rounds per minute to rounds per second, since the speed of the bullets is given in meters per second.
The gatling gun fires at a rate of 2000 rounds per minute, which is equal to 2000/60 = 33.33 rounds per second (rounded to two decimal places).
Now, let's find the time it takes for each bullet to travel a certain distance. Since the speed of the bullets is given as 800 m/s, we can use the formula:
Time = Distance / Speed
In this case, we want to find the distance between the bullets, so we rearrange the formula:
Distance = Speed * Time
Since we know the speed of the bullets is 800 m/s, we need to find the time between two consecutive bullets. To do this, we divide the time taken for one bullet by the rate of fire:
Time between bullets = 1 / Rate of fire
Substituting the rate of fire of 33.33 rounds per second into the formula, we get:
Time between bullets = 1 / 33.33 = 0.03 seconds (rounded to two decimal places).
Now that we have the time between bullets, we can find the distance between them using the formula:
Distance = Speed * Time
Substituting the speed of 800 m/s and the time of 0.03 seconds into the formula, we get:
Distance = 800 * 0.03 = 24 meters.
Therefore, the bullets are approximately 24 meters apart.