The knot is a unit of speed equal to 1.852 km/hour.A boat travels 100 metres in 7 seconds. How many knots is this?Give your answer to two significant figures.
Question
The knot is a unit of speed equal to 1.852 km/hour. A boat travels 100 metres in 7 seconds. How many knots is this? Give your answer to two significant figures.
Solution
First, we need to convert the boat's speed from meters per second to kilometers per hour.
The boat travels 100 meters in 7 seconds, so its speed is 100 meters / 7 seconds = 14.29 meters per second.
There are 3,600 seconds in an hour and 1,000 meters in a kilometer, so to convert from meters per second to kilometers per hour, we multiply by 3.6 (since 3,600/1,000 = 3.6).
So, the boat's speed in kilometers per hour is 14.29 meters per second * 3.6 = 51.44 km/hour.
Next, we need to convert this speed to knots. 1 knot is equal to 1.852 km/hour, so to convert from km/hour to knots, we divide by 1.852.
So, the boat's speed in knots is 51.44 km/hour / 1.852 = 27.77 knots.
So, the boat's speed is approximately 28 knots to two significant figures.
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