Archimedes’ Principle (1)

Data Tables Table 1 - Density of Liquid Measurements Table 2 - 50 g Table Table 3 - 100 g Table

4) Calculate the tension in the string by substituting your measurements into the equation derived above. How does this calculated value compare with the measured tension? 𝑇 = ?ₒ?(1 − ρ±/ρₒ) . 05 ?? × 9. 80?/? 2 (1 − 957 ??/? 3 ÷ 5000 ??/? 3 ) = . 396 𝑁 ~ . 4𝑁 Force Sensor = .4 N The calculated value is equal to the measured tension. 5) Apply Newton’s 2nd Law to the beaker and solve for the normal force. The normal force is the force on the beaker due to the balance and is equal to the reading on the electronic balance. 𝐹± = . 3032 ?? × 9. 80 ?/? 2 = 2. 971 𝑁 6) Calculate the normal force on the beaker by substituting your measurements in the equation. How does this calculated value compare with the balance reading? Electronic Balance Reading = 2.971 N Σ𝐹± = ?? 𝐹± = . 3032 ?? × 9. 80 ?/? 2 = 2. 971 𝑁 The calculated and measured normal force are exactly the same. 7) From your measurements of the metal object's weight, before and a±er immersion, determine the buoyant force on the object. Buoyant Force = convert to, ?±?ₒ? ρ±(?ₒ/ρₒ)? 957 ??/? 3 (. 05 ??/5000 ??/? 3 )9. 80 ?/? 2 = . 0937 𝑁 8) Using the volume of the metal object and the density of the fluid determine the weight of the fluid displaced. Is this value equal to the measured buoyant force? weight = mg volume of metal object = 1 x 10 ⁻ ⁴m³ density of fluid = 957 kg/m³ If and Buoyant Force = then, Σ𝐹 = ?? ?±?ₒ? ?±?ₒ? = ?? (957 ??. ? 3 × 1 * 10 −4 ? 3 × 9. 80 ?/? 2 ) ÷ 9. 80 ?/? 2 = . 0958 The calculated and measured buoyant force are the same.