(a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes...

Question

Question

(a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes...

(a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 3.20 cm diameter nozzle from a 9.10 cm diameter fire hose while carrying a flow of 42.0 L/s?

(b) To what maximum height (in m) above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)

science physics

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Ans: We know the Bernoulli equation

P₁ + 1/2( V₁²) + gh₁ = P₂ + 1/2( V2²) + gh₂ -------------------------------- (1)

Where,

P_1, P₂ be the pressure at the fire hose and nozzle

is the density of fluid

V₁ , V₂ be the velocities of the fluid at fire hose and nozzle

when two points are at the same height (h₁ = h₂ )

P₁ + 1/2( V₁²) = P₂ + 1/2( V2²) -------------------------------- (2)

Given:

Acceleration due to gravity (g) = 9.8 m/s²

Diameter of the fire hose (d₁) = 9.10 cm = 0.0910 m.

Radius of the fire hose (r₁) = 0.0455 m.

Diameter of the nozzle (d2) = 3.20 cm = 0.0320 m.

Radius of the fire nozzle (r₂ ) = 0.016 m.

Density of fluid () = 1000 kg/m³.

Flow (Q) = 40 L/s

Q=A₁V₁

V₁ = Q/ A₁ = 40 x 10^-3/ r₁²

= 40 x 10^-3 / 3.14 x (0.0455)²

= 6.153 m/s

Q=A2V2

V2 = Q/ A2 = 40 x 10^-3/ r₁²

= 40 x 10^-3 / 3.14 x (0.016)²

= 57.6 m/s

Therefor eq. (2) becomes

P₁ + 1/2( V₁²) = P₂ + 1/2( V2²)

P₂ - P₁ = 1/2( V2²) - 1/2( V₁²)

P = (1/ 2) (V2² - V₁²)

= (1/2) x 1000 ( 57.6² - 6.15²)

= 1.639 x 10⁶ N/m²

therefor the pressure drop is 1.639 x 10⁶ N/m²

We have to calculate the max height of the fluid therefor eq. becomes

Patm + 1/2( V₁²) + gh₁ = Patm + 1/2( V2²) + gh₂ ----------- (3)

Here, h₁ is the height of the fluid that leaving

and h₂ is the max height that fluid reaching

Eq (3) becomes

Patm + 1/2( V₁²) + 0 = Patm + 0 + gh₂

h₂ = {(1/2)V₁² } / g

h₂ = {0.5 x (57.6)² }/ 9.8

h₂ = 169.2 m

Therefor the max height that fluid raise to the above nozzle is 169.2 m

We were unable to transcribe this image

Add a comment

Answer 2

Similar Homework Help Questions

A.) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes...

A.) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 3.10 cm diameter nozzle from a 8.80 cm diameter fire hose while carrying a flow of 36.0 L/s? B.) To what maximum height (in m) above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)
a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes...

a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 3.50 cm diameter nozzle from a 9.30 cm diameter fire hose while carrying a flow of 38.0 L/s? In N/m2 b) To what maximum height (in m) above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.) In m
(a)What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into...

(a)What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 2.70 cm diameter nozzle from a 9.50 cm diameter fire hose while carrying a flow of 35.0 L/s? N/m2 (b)To what maximum height (in m) above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.) m

(a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes...

(a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 2.70 cm diameter nozzle from a 9.40 cm diameter fire hose while carrying a flow of 39.0 L/s? (b) To what maximum height (in m) above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.) (m)
(a) What is the pressure drop due to the Bernoulli effect as water goes into a...

(a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.10-cm-diameter nozzle from a 8.90-cm-diameter fire hose while carrying a flow of 43.0 L/s? N/m2 (b) To what maximum height above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.) m
What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into...

What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 2.90 cm diameter nozzle from a 8.70 cm diameter fire hose while carrying a flow of 44.0 L/s?

What is the pressure drop due to the Bernoulli effect as water goes into a 3.00-cm-diameter...

What is the pressure drop due to the Bernoulli effect as water goes into a 3.00-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 40.0 L/s? (If answer is in x105 Pa form)
Suppose you have a 8.2 cm diameter fire hose with a 2.4 cm diameter nozzle

Suppose you have a 8.2 cm diameter fire hose with a 2.4 cm diameter nozzle Part (a) Calculate the pressure drop due to the Bernoulli effect as water enters the nozzle from the hose at the rate of 40.0 L/s. Take 1.00×103 kg/m3 for the density of the water. Part (b) To what maximum height, in meters, above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.) +
please answer 3,4,10 1 points OSColPhys2016 16.1.P.004 . 3. Ask Your Teacher My Notes single spring...

please answer 3,4,10 1 points OSColPhys2016 16.1.P.004 . 3. Ask Your Teacher My Notes single spring with a force constant of 1.14 x 105 N/m. By how much will the truck be depressed (in cm) by its (a) The springs of a pickup truck act like maximum load of 1273 kg? cm (b) If the pickup truck has four identical springs, what is the force constant of each? (Enter your answer in N/m.) N/m Additional Materials Reading 4. -/1 points...

Suppose you have a 8.8cm diameter fire hose with a 3.2 cm diameter nozzle. Solve all...

Suppose you have a 8.8cm diameter fire hose with a 3.2 cm diameter nozzle. Solve all questions: a and b! Thank you. Class Management | Help Assignment 8 Begin Date: 3/23/2020 9:01:00 AM -- Due Date: 3/30/2020 9:00:00 AM End Date: 3/30/2020 9:00:00 AM (8%) Problem 12: Suppose you have a 8.8 cm diameter fire hose with a 3.2 cm diameter nozzle. | A 50% Part (a) Calculate the pressure drop due to the Bernoulli effect as water enters the...

(a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes...

Homework Answers

Add Answer to:
(a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes...

Post as a guest

Earn Coins