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Showing posts with label Engine Problem. Show all posts
Showing posts with label Engine Problem. Show all posts

Calculating How Many Tons Of Ship's Fuel Consumed

You have steamed 216 miles and consumed 19.0 tons of fuel. If you maintain the same speed, how many tons of fuel will you consume while steaming 315 miles?

Given:

      Old Distance = 216 mi
     New Distance = 315 mi
Old Consumption = 19 tons

What is asked?

New fuel consumption


Solution:

We are going to derive our formula from this equation:
            
                                            New Consumption = New Speedx New Distance
                                             Old Consumption        Old Speed2 x Old Distance     

New Consumption x Old Speed2 x Old Distance = Old Consumption x New Speedx New Distance 

New Consumption x Old Speed2 x Old Distance = Old Consumption x New Speedx New Distance 
                                Old Speed2 x Old Distance          Old Speed2 x Old Distance

New Consumption x Old Speed2 x Old Distance = Old Consumption x New Speed x New Distance 
                                Old Speed2 x Old Distance          Old Speed2 x Old Distance
                                                 
* Old Speed and New Speed  can be cancelled since they are the same.

                                            New Consumption = Old Consumption x New Distance
                                                                                        Old Distance
                                                                        = 19 tons x 315 mi
                                                                                     216 mi
                                                                        = 5985 tons
                                                                                 216
                                             New Consumption = 27.7 tons


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Calculate The Rate Of Ship's Fuel Consumption

While steaming at 14 knots, your vessel burns 276 bbls of fuel per day. What will be the rate of fuel consumption if you decrease speed to 11.7 knots?

Given:

Old Consumption = 276 bbls
          Old Speed = 14 knots
         New Speed = 11.7 knots

What is asked?

New fuel consumption

Solution:

This is the equation regarding fuel consumption. All we are going to do is to cross multiply and do some cancellation.

                        New Consumption = New Speed3
                        Old Consumption      Old Speed3


 New Consumption x Old Speed3 = New Speed3 x Old Consumption

 New Consumption x Old Speed3 = New Speed3 x Old Consumption
                   Old Speed3                                      Old Speed

 New Consumption x Old Speed3 = New Speed3 x Old Consumption
                   Old Speed                                     Old Speed3
                        
                     New Consumption = New Speed3 x Old Consumption
                                                                  Old Speed3
                                                       
                                                  = 11.73 x 276 bbls
                                                                143
 
                                                  = 1601.6 x 276
                                                                                 2744
                                                  = 442041.6
                                                      2744
                       New Consumption = 161 bbls/day

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Calculate The Days Run Allowing 6% Positive Slip

If the pitch of the propeller is 19.4 feet, and the revolutions per day are 96,713, calculate the days run allowing 6% positive slip.

Given:

Pitch = 19.4 ft
RPD = 96,713
 Slip = + 6%

What is asked?

Days run

Solution:

This is the formula for solving days run:

                   Days Run = RPD x P x eff
                                            6080
1. Solving for efficiency.

                   Efficiency = 100 - Slip
                                          100
                                   = 100 - (+6)
                                           100
                                   = 100 - 6
                                          100
                                   = 94 
                                     100
                   Efficiency = 0.94

2. Solving now for days run.

                   Days Run = RPD x P x eff
                                            6080
                                   = 96,713 x 19.4 x 0.94
                                                 6080
                                   = 1763658.268   
                                           6080
                   Days Run = 290.1 miles

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Calculating Ship's Engine RPM To Arrive On Time

You must average 16.25 knots to reach port at a designated time. Your propeller has a pitch of 21' 08", and you estimate 4% negative slip. How many RPM's must you average to arrive on time?

Given:

S.O.A = 16.25 kts
 Pitch = 21' 08"    (8 inch x 1 foot    = 8 ft   = 0.66 ft)
          = 21.66 ft                 12 inch      12
   Slip = - 4%

What is asked?

Average revolution per minute (RPM)

Solution:

1. We have to get first the value of efficiency.

                 efficiency = 100 - (-4)   
                                         100
                                 = 100 + 4
                                       100
                                 = 104 
                                     100
                            Eff = 1.04

2. To solve for RPM, we have to use the formula for S.O.A. and then cross multiply to derive the formula for the revolution per minute.

                    S.O.A = RPM x P x 60 x Eff
                                            6080                (We have to cross multiply)
 RPM x P x 60 x Eff = S.O.A x 6080

 RPM x P x 60 x Eff = S.O.A x 6080
             P x 60 x Eff    P x 60 x Eff

 RPM x P x 60 x Eff = S.O.A x 6080
             P x 60 x Eff    P x 60 x Eff          (Do some cancellation)

                      RPM = S.O.A x 6080
                                    P x 60 x Eff

                               = 16.25 x 6080         
                                    21.66 x 60 x 1.04

                               =  98800    
                                    1351.58

                      RPM = 73

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