Problem 1. Water is being drained from a large rectangular tank with dimensions of 1 m x 1 m x 3 m through a circular hole at the bottom of the tank with diameter d = 8 cm (Fig. 1). Initially, the water level in the tank (measured from the water surface to the center of the hole) is h = 2 m. Apply Bernoulli's equation to find the amount of time it takes for the water level in the tank to drop to h Reynolds number associated with water flow at the outlet. Is your assumption justified? = 0.6 m. State all your assumptions. Calculate the

Structural Analysis
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Chapter2: Loads On Structures
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Problem 1. Water is being drained from a large rectangular tank with dimensions of 1 m x
1 m x 3 m through a circular hole at the bottom of the tank with diameter d = 8 cm (Fig. 1).
Initially, the water level in the tank (measured from the water surface to the center of the
hole) is h
water level in the tank to drop to h
Reynolds number associated with water flow at the outlet. Is your assumption justified?
2 m. Apply Bernoulli's equation to find the amount of time it takes for the
= 0.6 m. State all your assumptions. Calculate the
Figure 1: Water is being drained from a large rectangular tank. Figure not to scale.
Transcribed Image Text:Problem 1. Water is being drained from a large rectangular tank with dimensions of 1 m x 1 m x 3 m through a circular hole at the bottom of the tank with diameter d = 8 cm (Fig. 1). Initially, the water level in the tank (measured from the water surface to the center of the hole) is h water level in the tank to drop to h Reynolds number associated with water flow at the outlet. Is your assumption justified? 2 m. Apply Bernoulli's equation to find the amount of time it takes for the = 0.6 m. State all your assumptions. Calculate the Figure 1: Water is being drained from a large rectangular tank. Figure not to scale.
Problem 2. An infinitely large tank is supplying air at a constant gage pressure of P
5 kPa through a hose of diameter D2
D3
questions using Bernoulli's equation. State all your assumptions.
0.08 m. The air exits from a nozzle of diameter
0.04 m (Fig. 4). The density of air is Pair
1.225 kg/m3. Answer the following
1. Determine the flow rate Q of air at the nozzle.
2. Find the pressure P, in the hose.
3. Plot the relationship between the flow rate and the nozzle diameter by varying D3
0.01 m to 0.08 m in small increments, while keeping all other parameters constant.
4. Calculate the Reynolds number associated with air flow at the nozzle. Is your assump-
tion justified?
1
3
air
Figure 2: Air is supplied from a large tank (point 1) through a hose (point 2) and a nozzle (point
3). Figure not to scale.
Transcribed Image Text:Problem 2. An infinitely large tank is supplying air at a constant gage pressure of P 5 kPa through a hose of diameter D2 D3 questions using Bernoulli's equation. State all your assumptions. 0.08 m. The air exits from a nozzle of diameter 0.04 m (Fig. 4). The density of air is Pair 1.225 kg/m3. Answer the following 1. Determine the flow rate Q of air at the nozzle. 2. Find the pressure P, in the hose. 3. Plot the relationship between the flow rate and the nozzle diameter by varying D3 0.01 m to 0.08 m in small increments, while keeping all other parameters constant. 4. Calculate the Reynolds number associated with air flow at the nozzle. Is your assump- tion justified? 1 3 air Figure 2: Air is supplied from a large tank (point 1) through a hose (point 2) and a nozzle (point 3). Figure not to scale.
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