Answer: Question 1: Efficiency is 0.6944
Question 2: speed of similar pump is 2067rpm
Explanation:
Question 1:
Flow rate of pump 1 (Q1) = 300gpm
Flow rate of pump 2 (Q2) = 400gpm
Head of pump (H)= 55ft
Speed of pump1 (v1)= 1500rpm
Speed of pump2(v2) = ?
Diameter of impeller in pump 1= 15.5in = 0.3937m
Diameter of impeller in pump 2= 15in = 0.381
B.H.P= 6.0
Assuming cold water, S.G = 1.0
eff= (H x Q x S.G)/ 3960 x B.H.P
= (55x 300x 1)/3960x 6
= 0.6944
Question 2:
Q = A x V. (1)
A1 x v1 = A2 x V2. (2)
Since A1 = A2 = A ( since they are geometrically similar
A = Q1/V1 = Q2/V2. (3)
V1(m/s) = r x 2π x N(rpm)/60
= (0.3937x 2 x π x 1500)/2x 60
= 30.925m/s
Using equation (3)
V2 = (400 x 30.925)/300
= 41.2335m/s
To rpm:
N(rpm) = (60 x V(m/s))/2 x π x r
= (60 x 41.2335)/ 2× π × 0.1905
= 2067rpm.
The drop of purple food dye will sink to the bottom while expanding around the cup turning the water purple
The maximum speed of Tim is 16.95 m/s.
The given parameters:
- Mass of the rope, m = 71 kg
- Tension on the rope, T = 220 N
- Coefficient of kinetic friction, = 0.1
- Time of motion, t = 8 s
<h3>What is Newton's second law of motion?</h3>
- Newton's second law of motion states that, the force applied to an object is directly proportional to the product of mass and acceleration of the object.
The net force on Tim is calculated by applying Newton's second law of motion as follows;

Thus, the maximum speed of Tim is 16.95 m/s.
Learn more about net horizontal force here: brainly.com/question/21684583
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substances needed for survival.</span></span>