one international mile is defined as exactly 607601155 ft, and a speed of 1 knot is defined as one international nautical mile per hour.What is the speed in meters per second of a boat traveling at a speed of 14.3 knot?
You left out a decimal point in your definition of an international (nautical) mile. It is 6076.011.. feet. Let's just write it as 6076 feet since you have only three significant figures in the 14.3 knots.
14.3 NM/h * 6076 ft/NM * 0.3048 m/ft * 1 h/3600 s = ______ m/s
Multiply the numbers as shown and the dimensions will turn out to be m/s.
To find the speed of a boat in meters per second when traveling at 14.3 knots, we need to use the conversion factors provided.
First, let's convert the speed of 14.3 knots to meters per hour.
Since 1 knot is defined as one international nautical mile per hour, we know that 14.3 knots is equivalent to 14.3 international nautical miles per hour.
Next, we'll convert the nautical miles to meters. We are given that 1 nautical mile is defined as exactly 1,853.18 meters. So, we multiply 14.3 international nautical miles by the conversion factor:
14.3 international nautical miles * 1,853.18 meters/international nautical mile = 26,451.974 meters.
Now, we have the speed in meters per hour. To convert to meters per second, we divide the speed in meters per hour by 3,600 (since there are 3,600 seconds in an hour):
26,451.974 meters/hour ÷ 3,600 seconds/hour = 7.3472161 meters per second.
Therefore, a boat traveling at a speed of 14.3 knots is approximately traveling at 7.35 meters per second.