Problem 4: A tourist on the observation deck of the Empire State Building drops a penny. The coin, a disk of diameter D = 0.75 in, thickness h = 0.06 in and density p. = 11.2 slug/ft², falls to the ground from a height of H = 1250 ft at a velocity of U(t). Assuming the penny falls broadside-on it has a drag coefficient given by: 64 *(1+0.138Reg.792) Rep And a reference area of D² A== Area has a density of p. = 2.32*10 slug/ft³ and a viscosity, H.-3.76*10 slug/(ft*s). The gravitational acceleration is g = 32.2 ft/s². Part A: Draw the free body diagram where you show the forces acting on the coin: buoyancy, weight and drag. Part B: Find the coin's terminal velocity and the time it takes to reach the ground (assuming it instantly reaches terminal velocity). Part C: Determine the drag force exerted on the coin. Part D: After reaching its terminal velocity, the coin suddenly undergoes a rotation instability causing it to fall edgewise. What is the new drag force? Ignore pressure drag and the coin's finite thickness.
Problem 4: A tourist on the observation deck of the Empire State Building drops a penny. The coin, a disk of diameter D = 0.75 in, thickness h = 0.06 in and density p. = 11.2 slug/ft², falls to the ground from a height of H = 1250 ft at a velocity of U(t). Assuming the penny falls broadside-on it has a drag coefficient given by: 64 *(1+0.138Reg.792) Rep And a reference area of D² A== Area has a density of p. = 2.32*10 slug/ft³ and a viscosity, H.-3.76*10 slug/(ft*s). The gravitational acceleration is g = 32.2 ft/s². Part A: Draw the free body diagram where you show the forces acting on the coin: buoyancy, weight and drag. Part B: Find the coin's terminal velocity and the time it takes to reach the ground (assuming it instantly reaches terminal velocity). Part C: Determine the drag force exerted on the coin. Part D: After reaching its terminal velocity, the coin suddenly undergoes a rotation instability causing it to fall edgewise. What is the new drag force? Ignore pressure drag and the coin's finite thickness.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Problem 4:
A tourist on the observation deck of the Empire State Building drops a penny. The coin, a disk of
diameter D = 0.75 in, thickness h = 0.06 in and density p. = 11.2 slug/ft², falls to the ground from a height
of H = 1250 ft at a velocity of U(t). Assuming the penny falls broadside-on it has a drag coefficient given
by:
64
*(1+0.138Reg.792)
Rep
And a reference area of
D²
A==
Area has a density of p. = 2.32*10 slug/ft³ and a viscosity, H.-3.76*10 slug/(ft*s). The gravitational
acceleration is g = 32.2 ft/s².
Part A: Draw the free body diagram where you show the forces acting on the coin: buoyancy, weight and
drag.
Part B: Find the coin's terminal velocity and the time it takes to reach the ground (assuming it instantly
reaches terminal velocity).
Part C: Determine the drag force exerted on the coin.
Part D: After reaching its terminal velocity, the coin suddenly undergoes a rotation instability causing it
to fall edgewise. What is the new drag force? Ignore pressure drag and the coin's finite thickness.
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