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 around Estimation of space Number Fractions Ratio Length Area Volume Upper bound &lower bound Proportion

TALL SHIP STARTER

GRAND TURK -18 th Century Man of War Statistical Data Built Marmaris Turkey Launched12 th of August 1997 Port of RegistryLondon, UK Rig Full rigged ship Sail area sq feet_____m 2 Air Draft117 feet _____m Length overall____ feet46.30m Length water line 97 feet_____m Hull length119 feet_____m Beam___ feet10.36m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres_____ft 3 Engines2x450HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage314 metric tons Area of OperationWorld Wide Construction 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 -18 th Century Man of War Statistical Data Built Marmaris Turkey Launched12 th of August 1997 Port of RegistryLondon, UK Rig Full rigged ship Sail area sq feet790 m 2 (3sf) Air Draft117 feet m Length overall152 feet46.30m Length water line 97 feet29.56 m Hull length119 feet36.40 m Beam34 feet10.36 m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres8828 ft 3 (3sf) Engines2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage314 metric tons Area of OperationWorld Wide Construction 60 local craftsmen & 30 specialist Shipwrights, Riggers & Engineers from the UK.

3. Calculate the boats weight in a.Pounds b.Kilograms GRAND TURK -18 th Century Man of War Statistical Data Built Marmaris Turkey Launched12 th of August 1997 Port of RegistryLondon, UK Rig Full rigged ship Sail area sq feet790 m 2 (3sf) Air Draft117 feet m Length overall152 feet46.30m Length water line 97 feet29.56 m Hull length119 feet36.40 m Beam34 feet10.36 m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres8828 ft 3 (3sf) Engines2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage314 metric tons Area of OperationWorld Wide Construction 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 -18 th Century Man of War Statistical Data Built Marmaris Turkey Launched12 th of August 1997 Port of RegistryLondon, UK Rig Full rigged ship Sail area sq feet790 m 2 (3sf) Air Draft117 feet m Length overall152 feet46.30m Length water line 97 feet29.56 m Hull length119 feet36.40 m Beam34 feet10.36 m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres8828 ft 3 (3sf) Engines2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage314 metric tons Area of OperationWorld Wide Construction 60 local craftsmen & 30 specialist Shipwrights, Riggers & Engineers from the UK.

5. Write the ship’s Registry number in words. GRAND TURK -18 th Century Man of War Statistical Data Built Marmaris Turkey Launched12 th of August 1997 Port of RegistryLondon, UK Rig Full rigged ship Sail area sq feet790 m 2 (3sf) Air Draft117 feet m Length overall152 feet46.30m Length water line 97 feet29.56 m Hull length119 feet36.40 m Beam34 feet10.36 m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres8828 ft 3 (3sf) Engines2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage314 metric tons Area of OperationWorld Wide Construction 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 -18 th Century Man of War Statistical Data Built Marmaris Turkey Launched12 th of August 1997 Port of RegistryLondon, UK Rig Full rigged ship Sail area sq feet790 m 2 (3sf) Air Draft117 feet m Length overall152 feet46.30m Length water line 97 feet29.56 m Hull length119 feet36.40 m Beam34 feet10.36 m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres8828 ft 3 (3sf) Engines2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage314 metric tons Area of OperationWorld Wide Construction 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 -18 th Century Man of War Statistical Data Built Marmaris Turkey Launched12 th of August 1997 Port of RegistryLondon, UK Rig Full rigged ship Sail area sq feet790 m 2 (3sf) Air Draft117 feet m Length overall152 feet46.30m Length water line 97 feet29.56 m Hull length119 feet36.40 m Beam34 feet10.36 m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres8828 ft 3 (3sf) Engines2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage314 metric tons Area of OperationWorld Wide Construction 60 local craftsmen & 30 specialist Shipwrights, Riggers & Engineers from the UK.

Sail area sq feet790 m 2 (3sf) Air Draft117 feet m Length overall152 feet46.30m Length water line 97 feet29.56 m Hull length119 feet36.40 m Beam34 feet10.36 m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres8828 ft 3 (3sf) Air Draft 0 a Draft b 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 -18 th Century Man of War Statistical Data Built Marmaris Turkey Launched12 th of August 1997 Port of RegistryLondon, UK Rig Full rigged ship Sail area sq feet790 m 2 (3sf) Air Draft117 feet m Length overall152 feet46.30m Length water line 97 feet29.56 m Hull length119 feet36.40 m Beam34 feet10.36 m Draft10 feet3.04m MaterialWood – Iroko & Mahogony Amount of wood250 cubic metres8828 ft 3 (3sf) Engines2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage314 metric tons Area of OperationWorld Wide Construction 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/ft 2 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/ft 2, 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/m 2.