4. TITANIC Length over-all: 882.5 ft Gross tonnage: 46, 329 tons Net tonnage: 24, 900 tons Depth: 59.5 ft
5. F 2 P A = F A /A P B = F B /A P 1 = F 1 /A F A F 1 P 2 = F 2 /A F B
6. F A = F B Horizontal Forces Thus, F x =F A + (-F B ) =0 Vertical Forces P 1 P 2 Then, F 1 F 2
7. Thu s, F y =F 1 + (-F 2 ) =0 F 1 + (-F 2 ) =F B F B = F 1 - F 2 OR BUOYANT FORCE “ The Net Upward Force ex erted by a fluid on a submerged or immersed object.”
8. F B = P 1 A - P 2 A = ( P 1 – P 2 ) A F B = P 1 A - P 2 A F B = F 1 - F 2 F B = P 1 A - P 2 A OR F B = ( P 1 – P 2 ) A
9. Note : The difference in pressure at two different elevations in a fluid is P 1 - P 2 = g ( y 2 – y 1 ) F B = ( P 1 – P 2 )A
10. By substitution F B = (P 1 – P 2 )A F B = g(y 2 – y 1 ) A V block = (y 2 – y 1 )A = V fluid displaced Thus, F B = g(y 2 – y 1 )A F B = fluid gV fluid
11. F B = fluid gV fluid F B = m fluid g displaced fluid F B = W
12. F B = W displaced fluid ARCHIMEDES’ PRINCIPLE “ An immersed object is buoyed up by a force equal to the weight of the fluid it displaces.”
15. PROBLEM SOLVING ACTIVITY TASK 1 : Determine the buoyant force on ball of clay submerged in water. TASK 2 : Determine the buoyant force on basin-like clay immersed in water.
16. BALL OF CLAY BASIN-LIKE CLAY *Weight of ball of clay: W = mg *Weight of the displaced fluid m= V W = mg *Weight of basin-like clay: W = mg *Weight of the displaced fluid m= V W = mg BUOYANT FORCE = Weight of displaced fluid
17. CONCLUSIONS If the weight of an object is greater than the weight of the displaced fluid or BUOYANT FORCE , object sinks in the fluid. If the weight of an object is less than the weight of the displaced fluid or BUOYANT FORCE , object floats in the fluid.
18. ASSIGNMENT 1. Read more about buoyant force. 2. Research how Archimedes’ Principle is applied in swimming and in sea transport. 3. Research on good internet sites about buoyancy and Archimedes’ Principle.
19. Navaza, Delia C. & Valdes, Bienvenido J. (2004). Physics. Quezon Avenue, Quezon City: Phoenix Publishing House Inc. Giancoli, Douglas C. (1998). Physics: Fifth edition. 23 First Lok Yang Road, Singapore: Pearson Education South Asia Pte. Ltd. REFERENCE LIST
20. Hewitt, Paul G. (2002). Conceptual Physics: Ninth edition. 23 First Lok Yang Road, Singapore: Pearson Education South Asia Pte. Ltd. Cameron, James (Producer and Director). (June 23, 1999). Titanic [Motion picture]. Hollywood: Columbia Pictures. REFERENCE LIST