A garden hose of radius 1.0 cm is connected to a lawn sprinkler that has many ti

Question

A garden hose of radius 1.0 cm is connected to a lawn sprinkler that has many tiny outlet holes each of radius 0.1 cm. Water flows down the hose at 2.0 m/s by volume. (a) All but one of the sprinkler outlet holes is clogged, so that water can come out of only one outlet hole. Find the speed at which water comes out (by volume) of the outlet hole. Your answer should be a number. (b) A second outlet hole is opened up. Select the correct statement and give a brief explanation: Compared to your answer for part (a), the speed of water from the two outlet holes is (A) one fourth as fast, (B) one half as fast, (C) the same, (D) twice as fast, (E) four times as test. (F) different by a factor not given in choices (A) to (E).

Explanation / Answer

use the equn of continuity

a.) AV = A1V1

pi*(0.01)^2 *2 = pi*(0.001)^2*V1

V1 = 100 m/s

b.)option A is correct

AV = (A1+A2)V1

pi*(0.01)^2 *2 = pi*(0.002)^2*V1

V1 = 25 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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