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Pressure and Bernoulli + Continuity

  • Thread starter physgrl
  • Start date
  • #1
138
0

Homework Statement



Water flows through a horizontal tapered pipe. At the wide end its speed is 4.0 m/s and at the narrow end it is 5.0 m/s. The pressure in the wide pipe is 2.5 x 10^5 Pa. What is the pressure in the narrow pipe?

a. 2.5 x 10^2 Pa
b. 3.4 x 10^3 Pa
c. 4.5 x 10^3 Pa
d. 2.3 x 10^5 Pa
e. 8.0 x 10^5 Pa

Homework Equations



P1+1/2*ρ*v12 = P2+1/2*ρ*v22
A1*v1=A2*v2

The Attempt at a Solution



1-wide
2-narrow

P1+1/2*ρ*v12 = P2+1/2*ρ*v22

2.5 x 10^5 Pa + 1/2*1000kg/m3*(4m/s)2=P2 + 1/2*1000kg/m3*(5m/s)2

2.5 x 10^5 Pa + 1/2*1000kg/m3*(4m/s)2- 1/2*1000kg/m3*(5m/s)2=P

2.5 x 10^5 Pa + 1/2*1000kg/m3*[(4m/s)2-(5m/s)2]=P

2.455x10^5 Pa=P

the answer is not in the options :s can someone tell me what i did wrong?
 
Last edited:

Answers and Replies

  • #2
1,198
5
I agree with your answer. Looks like an error in supplied answer.
 
  • #3
138
0
thanks! :)
 

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