Question

The knot is a unit often used to measure the speed of watercraft and aircraft. One knot is equal to 1 nautical mile (1.852km) per hour. If an airplane travels at a speed of 500 knots, what is this speed in miles per hour?

Answer 1

To solve this problem we will use the concept related to nautical miles per hour (Knot) To miles per hour. From the definition we know that

$1 \text{Nautical mile} = 1.15078miles$

So if the aircraft travels to 500 Knots we would have to

$v = 500 Knots (\frac{1 \text{Nautical mile}/hour}{1 knot})$

$v = 500 \frac{\text{Nautical mile}}{hour} (\frac{ 1.15078\text{miles} }{1 \text{Nautical mile}})$

$v = 575.39 mph$

Therefore the speed in miles per hour is 575.39mph