A 310,000 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?
To find the time it takes for the vessel to reach 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, we get:
Time = (13 - 3) / 0.08
Time = 10 / 0.08
Time = 125 minutes
To convert this to hours and minutes, we divide 125 minutes by 60 minutes per hour:
Hours = 125 minutes / 60 minutes/hour
Hours = 2 hours
Since there are no remaining minutes, the vessel will reach the desired speed in 2 hours and 0 minutes.
To calculate the time it takes for the vessel to reach the desired speed, we can use the formula:
Time = (Final speed - Initial speed) / Acceleration
Given:
Initial speed (U) = 3 knots
Final speed (V) = 13 knots
Acceleration (a) = 0.08 knots/minute
Using the formula, we have:
Time = (13 knots - 3 knots) / 0.08 knots/minute
= 10 knots / 0.08 knots/minute
= 125 minutes
To convert minutes to hours and minutes, we divide by 60 (since there are 60 minutes in an hour), giving:
125 minutes / 60 minutes/hour = 2.08 hours
Since there are 60 minutes in an hour, we will have:
2 hours and 0.08 * 60 = 4.8 minutes
Therefore, the vessel will reach the desired speed in approximately 2 hours and 4.8 minutes.