140 likes | 221 Views
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
E N D
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
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. GRAND TURK -18th Century Man of War Statistical Data Built Marmaris Turkey Launched 12th of August 1997 Port of Registry London, UK 900582 Rig Full rigged ship Sail area 8 500 sq feet _____m2 Air Draft 117 feet _____m Length overall ____ feet 46.30m Length water line 97 feet _____m Hull length 119 feet _____m Beam ___ feet 10.36m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres _____ft3 Engines 2x450HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage 314 metric tons Area of Operation World Wide Construction 60 local craftsmen & 30 specialist Shipwrights, Riggers & Engineers from the UK. TALL SHIP STARTER
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 Turkey Launched 12th of August 1997 Port of Registry London, UK 900582 Rig Full rigged ship Sail area 8 500 sq feet 790 m2 (3sf) Air Draft 117 feet 35.66 m Length overall 152 feet 46.30m Length water line 97 feet 29.56 m Hull length 119 feet 36.40 m Beam 34 feet 10.36 m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres 8828 ft3 (3sf) Engines 2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage 314 metric tons Area of Operation World Wide Construction 60 local craftsmen & 30 specialist Shipwrights, Riggers & Engineers from the UK.
3. Calculate the boats weight in • Pounds • Kilograms GRAND TURK -18th Century Man of War Statistical Data Built Marmaris Turkey Launched 12th of August 1997 Port of Registry London, UK 900582 Rig Full rigged ship Sail area 8 500 sq feet 790 m2 (3sf) Air Draft 117 feet 35.66 m Length overall 152 feet 46.30m Length water line 97 feet 29.56 m Hull length 119 feet 36.40 m Beam 34 feet 10.36 m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres 8828 ft3 (3sf) Engines 2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage 314 metric tons Area of Operation World 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 -18th Century Man of War Statistical Data Built Marmaris Turkey Launched 12th of August 1997 Port of Registry London, UK 900582 Rig Full rigged ship Sail area 8 500 sq feet 790 m2 (3sf) Air Draft 117 feet 35.66 m Length overall 152 feet 46.30m Length water line 97 feet 29.56 m Hull length 119 feet 36.40 m Beam 34 feet 10.36 m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres 8828 ft3 (3sf) Engines 2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage 314 metric tons Area of Operation World Wide Construction 60 local craftsmen & 30 specialist Shipwrights, Riggers & Engineers from the UK.
GRAND TURK -18th Century Man of War Statistical Data Built Marmaris Turkey Launched 12th of August 1997 Port of Registry London, UK 900582 Rig Full rigged ship Sail area 8 500 sq feet 790 m2 (3sf) Air Draft 117 feet 35.66 m Length overall 152 feet 46.30m Length water line 97 feet 29.56 m Hull length 119 feet 36.40 m Beam 34 feet 10.36 m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres 8828 ft3 (3sf) Engines 2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage 314 metric tons Area of Operation World Wide Construction 60 local craftsmen & 30 specialist Shipwrights, Riggers & Engineers from the UK. 5. Write the ship’s Registry number in words.
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 Turkey Launched 12th of August 1997 Port of Registry London, UK 900582 Rig Full rigged ship Sail area 8 500 sq feet 790 m2 (3sf) Air Draft 117 feet 35.66 m Length overall 152 feet 46.30m Length water line 97 feet 29.56 m Hull length 119 feet 36.40 m Beam 34 feet 10.36 m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres 8828 ft3 (3sf) Engines 2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage 314 metric tons Area of Operation World Wide Construction 60 local craftsmen & 30 specialist Shipwrights, Riggers & Engineers from the UK.
GRAND TURK -18th Century Man of War Statistical Data Built Marmaris Turkey Launched 12th of August 1997 Port of Registry London, UK 900582 Rig Full rigged ship Sail area 8 500 sq feet 790 m2 (3sf) Air Draft 117 feet 35.66 m Length overall 152 feet 46.30m Length water line 97 feet 29.56 m Hull length 119 feet 36.40 m Beam 34 feet 10.36 m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres 8828 ft3 (3sf) Engines 2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage 314 metric tons Area of Operation World 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?
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. a Air Draft 0 Draft b Sail area 8 500 sq feet 790 m2 (3sf) Air Draft 117 feet 35.66 m Length overall 152 feet 46.30m Length water line 97 feet 29.56 m Hull length 119 feet 36.40 m Beam 34 feet 10.36 m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres 8828 ft3 (3sf)
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 Turkey Launched 12th of August 1997 Port of Registry London, UK 900582 Rig Full rigged ship Sail area 8 500 sq feet 790 m2 (3sf) Air Draft 117 feet 35.66 m Length overall 152 feet 46.30m Length water line 97 feet 29.56 m Hull length 119 feet 36.40 m Beam 34 feet 10.36 m Draft 10 feet 3.04m Material Wood – Iroko & Mahogony Amount of wood 250 cubic metres 8828 ft3 (3sf) Engines 2x450 HP Kelvin Marine, 4 Generators, Bow Thruster Gross Tonnage 314 metric tons Area of Operation World 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/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.