Match the following pairs that represent power, in watts, and place them in orde

Question

Match the following pairs that represent power, in watts, and place them in order from smallest to largest. A water pump has a flow rate of 0.05m^2/s at a head of 16.327m. The motor driving the pumps Provides 53.05 N-m of torque at a speed of 188.5 rad/s (1800 rpm) What is the water horsepower? What is the brake horsepower? What is the efficiency of the pump? A water pump has an impeller diameter of 1.0375 m, and when it runs at 75 rad/s, it output 1.325 m^2/s at head of 82 m. Suppose a second pump is considered with a 0.95 m impeller to be run at 85rad/s what would be the flow rate of the second pump, in m^2/s? What would the second pump's head, in meter? What would be the ratio of the second pump;s power requirement to the first one's?

Explanation / Answer

1. )

C. 440 volts * 67 Amps = 3080 W

A. 900 Newtons * 30 meters/ s = 27,000 W

D. 500,000 Pa *0.064 m^3/ s = 32,000 W

E. 90 N-m * 360 rad/ s= 32,400 W

B. 100,000 Jouls divided by 3 seconds= 33,333 W

2.

A) the preassure is P=density*gravity*higth= 1000*9.81*16.327 = 160168 Pa

The power is 160168*0.05 m^3/s = 8008.39 W= 10.88 Hp

B)53.05*188.5=9999.93 W = 13.5912

C. efficiency= 10.88/13.5912 = 0.8

3.)

A- Q1/Q2= D1^3 / D2^3

Q2= (0.93^3 / 1.0375^3 )*1.325 = 0.954334 m^3/s

B) H2/H1= D2^2/D1^2

H2=(0.93^2 / 1.0375^2 )*82 = 65.8876 m

C) Power 2 / power 1 = H2*Q2/ H1*Q1= 65.8876*0.954334 / 82*1.325 = 0.578428

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