Four lawn sprinkler heads are fed by a 2.0-cm-diameter pipe. The water comes out

Question

Four lawn sprinkler heads are fed by a 2.0-cm-diameter pipe. The water comes out of the heads at an angle of 44? to the horizontal and covers a radius of 6.2m .

Part A

What is the velocity of the water coming out of each sprinkler head? (Assume zero air resistance.)

Express your answer to two significant figures and include the appropriate units.

Part B

If the output diameter of each head is 3.6mm , how many liters of water do the four heads deliver per second?

Express your answer using two significant figures.

Part C

How fast is the water flowing inside the 2.0-cm-diameter pipe?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Part A)
For the Range formula, apply R = vo^2sin(2angle)/g

6.2 = vo^2(sin 88)/g

v = 7.8 m/s

Part B)
V = Av

V = (pi)(1.8 X 10^-3)^2(7.80)

V = 7.94 X 10^-5 m^3/s

Converting that to Liters is .079 Liters

Part C)
Av = Av

4(7.94 X 10^-5) = (pi)(.01)^2(v)

v = 1.0 m/s

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.