A 310,00 GRT vessel needs to achieve a steady speed of 13 knots after exiting a canal. If the speed of the vessel before exiting the canal is 3 knots, calculate the time (in minutes) to reach the desired speed assuming that her acceleration is 0.08 knots per minute.
What is the distance in NM covered by the vessel during the acceleration from 3 knots to 13 knots
To calculate the time taken to reach the desired speed of 13 knots, we can use the equation:
Time = (Final Speed - Initial Speed) / Acceleration
Using the given values:
Initial Speed = 3 knots
Final Speed = 13 knots
Acceleration = 0.08 knots per minute
Time = (13 - 3) / 0.08
Time = 125 minutes
Therefore, it will take 125 minutes for the vessel to reach the desired speed of 13 knots.
To calculate the distance covered during the acceleration from 3 knots to 13 knots, we can use the equation:
Distance = Initial Speed * Time + 0.5 * Acceleration * Time^2
Using the given values:
Initial Speed = 3 knots
Acceleration = 0.08 knots per minute
Time = 125 minutes
Distance = 3 * 125 + 0.5 * 0.08 * 125^2
Distance = 375 + 0.5 * 0.08 * 15625
Distance = 375 + 0.5 * 1,250
Distance = 375 + 625
Distance = 1,000 nautical miles
Therefore, the vessel will cover a distance of 1,000 nautical miles during the acceleration from 3 knots to 13 knots.
To calculate the distance covered during acceleration, we can use the formula:
Distance = 0.5 * (final velocity^2 - initial velocity^2) / acceleration
Let's substitute the given values into the formula:
Initial velocity = 3 knots
Final velocity = 13 knots
Acceleration = 0.08 knots/minute
Distance = 0.5 * (13^2 - 3^2) / 0.08
Distance = 0.5 * (169 - 9) / 0.08
Distance = 0.5 * 160 / 0.08
Distance = 80 / 0.08
Distance = 1000 NM
Therefore, the vessel will cover a distance of 1000 NM during the acceleration from 3 knots to 13 knots.