Bringing the outside into the classroom

This activity relates to a replica of a tall ship.

The areas of maths covered are –

Converting units from imperial to metric and the other way aroundEstimation of spaceNumberFractionsRatioLengthArea VolumeUpper bound &lower boundProportion

TALL SHIP STARTER

TALL SHIP STARTER

GRAND TURK -18th Century Man of War Statistical Data

Built Marmaris TurkeyLaunched 12th of August 1997Port of Registry London, UK 900582Rig Full rigged shipSail area 8 500 sq feet _____m2

Air Draft 117 feet _____mLength overall ____ feet 46.30mLength water line 97 feet _____mHull length 119 feet _____mBeam ___ feet 10.36mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres _____ft3

Engines 2x450HP Kelvin Marine, 4 Generators, Bow Thruster

Gross Tonnage 314 metric tonsArea of Operation World WideConstruction 60 local craftsmen & 30

specialist Shipwrights, Riggers & Engineers from the UK.

1. From the information on the right

a. Work out how many feet are in 1 metre.

b. Work out how many metres are in 1 foot.

c. Fill in the rest of the table.

2a. How much timber was used to build the Grand Turk?

b. Find the product of 3 numbers that give 250.

c. Estimate & then calculate if that much wood fit into this room?

GRAND TURK -18th Century Man of War Statistical Data

Built Marmaris TurkeyLaunched 12th of August 1997Port of Registry London, UK 900582Rig Full rigged shipSail area 8 500 sq feet 790 m2 (3sf)Air Draft 117 feet 35.66 mLength overall 152 feet 46.30mLength water line 97 feet 29.56 mHull length 119 feet 36.40 mBeam 34 feet 10.36 mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres 8828 ft3 (3sf)Engines 2x450 HP Kelvin Marine, 4

Generators, Bow ThrusterGross Tonnage 314 metric tonsArea of Operation World WideConstruction 60 local craftsmen & 30

specialist Shipwrights, Riggers & Engineers from the UK.

3. Calculate the boats weight in

a.Pounds

b.Kilograms

GRAND TURK -18th Century Man of War Statistical Data

Built Marmaris TurkeyLaunched 12th of August 1997Port of Registry London, UK 900582Rig Full rigged shipSail area 8 500 sq feet 790 m2 (3sf)Air Draft 117 feet 35.66 mLength overall 152 feet 46.30mLength water line 97 feet 29.56 mHull length 119 feet 36.40 mBeam 34 feet 10.36 mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres 8828 ft3 (3sf)Engines 2x450 HP Kelvin Marine, 4

Generators, Bow ThrusterGross Tonnage 314 metric tonsArea of Operation World WideConstruction 60 local craftsmen & 30

specialist Shipwrights, Riggers & Engineers from the UK.

4a. How many workers were involved on the construction of The Grand Turk?

4b.Write the craftsmen and UK workers as a fraction of the total number of workers.

4c. Write this as a ratio.

GRAND TURK -18th Century Man of War Statistical Data

Built Marmaris TurkeyLaunched 12th of August 1997Port of Registry London, UK 900582Rig Full rigged shipSail area 8 500 sq feet 790 m2 (3sf)Air Draft 117 feet 35.66 mLength overall 152 feet 46.30mLength water line 97 feet 29.56 mHull length 119 feet 36.40 mBeam 34 feet 10.36 mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres 8828 ft3 (3sf)Engines 2x450 HP Kelvin Marine, 4

Generators, Bow ThrusterGross Tonnage 314 metric tonsArea of Operation World WideConstruction 60 local craftsmen & 30

specialist Shipwrights, Riggers & Engineers from the UK.

5. Write the ship’s Registry number in words.

GRAND TURK -18th Century Man of War Statistical Data

Built Marmaris TurkeyLaunched 12th of August 1997Port of Registry London, UK 900582Rig Full rigged shipSail area 8 500 sq feet 790 m2 (3sf)Air Draft 117 feet 35.66 mLength overall 152 feet 46.30mLength water line 97 feet 29.56 mHull length 119 feet 36.40 mBeam 34 feet 10.36 mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres 8828 ft3 (3sf)Engines 2x450 HP Kelvin Marine, 4

Generators, Bow ThrusterGross Tonnage 314 metric tonsArea of Operation World WideConstruction 60 local craftsmen & 30

specialist Shipwrights, Riggers & Engineers from the UK.

6a. What is the sail area?

6b. What is the 2 closest whole numbers that multiply together to give this area?

6c. Estimate & then calculate how many classroom floors would this sail area cover?

GRAND TURK -18th Century Man of War Statistical Data

Built Marmaris TurkeyLaunched 12th of August 1997Port of Registry London, UK 900582Rig Full rigged shipSail area 8 500 sq feet 790 m2 (3sf)Air Draft 117 feet 35.66 mLength overall 152 feet 46.30mLength water line 97 feet 29.56 mHull length 119 feet 36.40 mBeam 34 feet 10.36 mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres 8828 ft3 (3sf)Engines 2x450 HP Kelvin Marine, 4

Generators, Bow ThrusterGross Tonnage 314 metric tonsArea of Operation World WideConstruction 60 local craftsmen & 30

specialist Shipwrights, Riggers & Engineers from the UK.

7a. How many years ago did one of these Man of War ships sail?

Give an upper bound and a lower bound answer.

b. In what century was the replica built?

GRAND TURK -18th Century Man of War Statistical Data

Built Marmaris TurkeyLaunched 12th of August 1997Port of Registry London, UK 900582Rig Full rigged shipSail area 8 500 sq feet 790 m2 (3sf)Air Draft 117 feet 35.66 mLength overall 152 feet 46.30mLength water line 97 feet 29.56 mHull length 119 feet 36.40 mBeam 34 feet 10.36 mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres 8828 ft3 (3sf)Engines 2x450 HP Kelvin Marine, 4

Generators, Bow ThrusterGross Tonnage 314 metric tonsArea of Operation World WideConstruction 60 local craftsmen & 30

specialist Shipwrights, Riggers & Engineers from the UK.

Sail area 8 500 sq feet 790 m2 (3sf)Air Draft 117 feet 35.66 mLength overall 152 feet 46.30mLength water line 97 feet 29.56 mHull length 119 feet 36.40 mBeam 34 feet 10.36 mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres 8828 ft3 (3sf)

Air

Draft

0

a

Draftb

8a. If the water line is zero feet, write down value at a and b?

8b. What is the total height of the ship from keel to the top of the highest mast in feet & mm?

c. If the air draft & draft are rounded to the nearest foot what are the upper and lower bound values of the values of the answers to part b.

9. How many

a. months ago,

b. days ago,

c. years ago,

was the Grand Turk launched?

GRAND TURK -18th Century Man of War Statistical Data

Built Marmaris TurkeyLaunched 12th of August 1997Port of Registry London, UK 900582Rig Full rigged shipSail area 8 500 sq feet 790 m2 (3sf)Air Draft 117 feet 35.66 mLength overall 152 feet 46.30mLength water line 97 feet 29.56 mHull length 119 feet 36.40 mBeam 34 feet 10.36 mDraft 10 feet 3.04mMaterial Wood – Iroko & MahogonyAmount of wood 250 cubic metres 8828 ft3 (3sf)Engines 2x450 HP Kelvin Marine, 4

Generators, Bow ThrusterGross Tonnage 314 metric tonsArea of Operation World WideConstruction 60 local craftsmen & 30

specialist Shipwrights, Riggers & Engineers from the UK.

And now for those that want to design boats …

Sails and the pressure on them.

This is very basic and it assumes that the wind is blowing onto the sail’s full area.

P is pressure in lbs/ft2

v is the velocity of the wind in mph

P is directly proportional to the to the square of v. If at 14mph the wind pressure is 0.8 lbs/ft2, write an equation for P in terms of v.

How many lbs of pressure are on the Grand Turks sails at this wind speed?

Draw a graph of wind (0 to 40) against pressure (0 to 6).

Draw another graph using wind in m/s and pressure in kg/m2.