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.
To solve this problem it is necessary to apply the concepts related to heat exchange in the vegetable and water.
By definition the exchange of heat is given by

where,
m = mass
c = specific heat
= Change in temperature
Therefore the total heat exchange is given as


Our values are given as,
Total mass is
= 200lb ,however the mass of solid vegetable and water is given as,



Replacing at our equation we have,



Therefore the heat removed is 22411.2 Btu
Answer:

Explanation:
As per Heisenberg's uncertainty principle we know that

so here we have


now from above equation we have




Answer:
30 m/s
Explanation:
Speed is distance over time. 60 meters / 2 seconds, = 30 m/s.
Answer:
The amount of work must be do to rotate the bar magnet is 151.2 J
Explanation:
Given:
Magnetic moment

Magnetic field
T
To find work do to rotate the bar magnet,
From the formula of work done in case of magnetic field,

Here
changes 0 to 180
But 


J
Therefore, the amount of work must be do to rotate the bar magnet is 151.2 J