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 time (in hours and minutes) until the vessel reaches the desired speed?
First, let's calculate the difference in speed that the vessel needs to achieve: 13 knots - 3 knots = <<13-3=10>>10 knots.
Next, let's calculate the time needed to reach the desired speed at a rate of 0.08 knots per minute: 10 knots / 0.08 knots/minute = 125 minutes.
Converting this time to hours and minutes, we have 125 minutes / 60 minutes/hour = 2 hours and 5 minutes.
Therefore, it will take the vessel 2 hours and 5 minutes to reach the desired speed.
To calculate the time (in minutes) until the vessel reaches the desired speed, we can use the formula:
time = (final speed - initial speed) / acceleration
Given:
Initial speed = 3 knots
Final speed = 13 knots
Acceleration = 0.08 knots per minute
Substituting the values into the formula:
time = (13 - 3) / 0.08
time = 10 / 0.08
time = 125 minutes
Therefore, it will take the vessel 125 minutes to reach the desired speed.
To convert this time into hours and minutes, we can divide the minutes by 60:
125 minutes / 60 minutes per hour = 2 hours and 5 minutes
Therefore, it will take the vessel 2 hours and 5 minutes to reach the desired speed.