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What is the drag force acting on a submarine, diameter 8 m and length 90 m, when it is moving forward through freshwater at a speed of 13 m/s? [Hint: Power = Force x Velocity]
Given CD = 0.3, density of freshwater = 1000 kg/m3?
Given CD = 0.3, density of freshwater = 1000 kg/m3?
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What is the drag force acting on a submarine, diameter 8 m and length ...
Calculation of Drag Force on a Submarine
Given Data:
- Diameter of the submarine (D) = 8 m
- Length of the submarine (L) = 90 m
- Speed of the submarine (V) = 13 m/s
- Coefficient of drag (CD) = 0.3
- Density of freshwater (ρ) = 1000 kg/m3
Step 1: Calculate the Cross-Sectional Area of the Submarine
- The cross-sectional area of the submarine can be calculated using the formula:
A = π * (D/2)^2
A = π * (8/2)^2
A = π * 16
A = 50.27 m2
Step 2: Calculate the Drag Force
- The drag force (FD) can be calculated using the formula:
FD = 0.5 * CD * ρ * A * V^2
FD = 0.5 * 0.3 * 1000 * 50.27 * 13^2
FD = 0.5 * 0.3 * 1000 * 50.27 * 169
FD = 0.15 * 1000 * 50.27 * 169
FD = 2535.75 * 50.27
FD = 127.48 kN
Step 3: Calculate the Power Required
- The power required to overcome the drag force can be calculated using the formula:
Power = Force x Velocity
Power = 127.48 * 13
Power = 1657.24 kW
Therefore, the drag force acting on the submarine moving forward through freshwater at a speed of 13 m/s is 127.48 kN.
Given Data:
- Diameter of the submarine (D) = 8 m
- Length of the submarine (L) = 90 m
- Speed of the submarine (V) = 13 m/s
- Coefficient of drag (CD) = 0.3
- Density of freshwater (ρ) = 1000 kg/m3
Step 1: Calculate the Cross-Sectional Area of the Submarine
- The cross-sectional area of the submarine can be calculated using the formula:
A = π * (D/2)^2
A = π * (8/2)^2
A = π * 16
A = 50.27 m2
Step 2: Calculate the Drag Force
- The drag force (FD) can be calculated using the formula:
FD = 0.5 * CD * ρ * A * V^2
FD = 0.5 * 0.3 * 1000 * 50.27 * 13^2
FD = 0.5 * 0.3 * 1000 * 50.27 * 169
FD = 0.15 * 1000 * 50.27 * 169
FD = 2535.75 * 50.27
FD = 127.48 kN
Step 3: Calculate the Power Required
- The power required to overcome the drag force can be calculated using the formula:
Power = Force x Velocity
Power = 127.48 * 13
Power = 1657.24 kW
Therefore, the drag force acting on the submarine moving forward through freshwater at a speed of 13 m/s is 127.48 kN.
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What is the drag force acting on a submarine, diameter 8 m and length 90 m, when it is moving forward through freshwater at a speed of 13 m/s? [Hint: Power = Force x Velocity]Given CD = 0.3, density of freshwater = 1000 kg/m3?
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What is the drag force acting on a submarine, diameter 8 m and length 90 m, when it is moving forward through freshwater at a speed of 13 m/s? [Hint: Power = Force x Velocity]Given CD = 0.3, density of freshwater = 1000 kg/m3? for Engineering Mathematics 2024 is part of Engineering Mathematics preparation. The Question and answers have been prepared according to the Engineering Mathematics exam syllabus. Information about What is the drag force acting on a submarine, diameter 8 m and length 90 m, when it is moving forward through freshwater at a speed of 13 m/s? [Hint: Power = Force x Velocity]Given CD = 0.3, density of freshwater = 1000 kg/m3? covers all topics & solutions for Engineering Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the drag force acting on a submarine, diameter 8 m and length 90 m, when it is moving forward through freshwater at a speed of 13 m/s? [Hint: Power = Force x Velocity]Given CD = 0.3, density of freshwater = 1000 kg/m3?.
What is the drag force acting on a submarine, diameter 8 m and length 90 m, when it is moving forward through freshwater at a speed of 13 m/s? [Hint: Power = Force x Velocity]Given CD = 0.3, density of freshwater = 1000 kg/m3? for Engineering Mathematics 2024 is part of Engineering Mathematics preparation. The Question and answers have been prepared according to the Engineering Mathematics exam syllabus. Information about What is the drag force acting on a submarine, diameter 8 m and length 90 m, when it is moving forward through freshwater at a speed of 13 m/s? [Hint: Power = Force x Velocity]Given CD = 0.3, density of freshwater = 1000 kg/m3? covers all topics & solutions for Engineering Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the drag force acting on a submarine, diameter 8 m and length 90 m, when it is moving forward through freshwater at a speed of 13 m/s? [Hint: Power = Force x Velocity]Given CD = 0.3, density of freshwater = 1000 kg/m3?.
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