Before calculating the volume of this cylinder, we must either convert the diameter to feet or the height to inches. I'll do the latter, to avoid getting a very small number.
Recall that there are
12
inches in
1
foot. Thus, we can state:
12
in.
1
ft.
=
x
4
ft.
x
=
12
in.
×
4
ft.
1
(ft.)
x
=
48
in.
Hence, the cylinder has a height of
48
inches.
Now, we can apply the formula for volume of a cylinder to effectuate our calculation. The formula in question is
V
=
a
base
×
h
, or
V
=
r
2
π
×
h
.
However, we know our diameter but we don't know our radius. As you probably know, the diameter is linked to the radius b the formula
d
=
2
r
. Solving for
r
and substituting:
r
=
d
2
r
=
12
2
r
=
6
∴
The radius of the cylinder measures
6
inches.
V
=
r
2
π
×
h
V
=
6
2
π
×
48
V
=
(
36
×
48
)
π
V
=
1728
π
in
2
Note that this answer is in exact value. Rounded to two decimal places, the volume is
5428.67
in
Answer:
The five stages of Design Thinking, according to d.school, are as follows: Empathise, Define , Ideate, Prototype, and Test. Let's take a closer look at the five different stages of Design Thinking
Explanation:
Answer:
The field strength needed is 0.625 T
Explanation:
Given;
angular frequency, ω = 400 rpm = (2π /60) x (400) = 41.893 rad/s
area of the rectangular coil, A = L x B = 0.0611 x 0.05 = 0.003055 m²
number of tuns of the coil, N = 300 turns
peak emf = 24 V
The peak emf is given by;
emf₀ = NABω
B = (emf₀ ) / (NA ω)
B = (24) / (300 x 0.003055 x 41.893)
B = 0.625 T
Therefore, the field strength needed is 0.625 T
Answer:
mechanical power used to overcome frictional effects in piping is 2.37 hp
Explanation:
given data
efficient pump = 80%
power input = 20 hp
rate = 1.5 ft³/s
free surface = 80 ft
solution
we use mechanical pumping power delivered to water is
.............1
put here value
= (0.80)(20)
= 16 hp
and
now we get change in the total mechanical energy of water is equal to the change in its potential energy
..............2
and that can be express as
..................3
so
![\Delta {E_{mech}} = (62.4lbm/ft^3)(1.5ft^3/s)(32.2ft/s^2)(80ft)[\frac{1lbf}{32.2lbm\cdot ft/s^2}][\frac{1hp}{550lbf \cdot ft/s}]](https://tex.z-dn.net/?f=%5CDelta%20%7BE_%7Bmech%7D%7D%20%3D%20%2862.4lbm%2Fft%5E3%29%281.5ft%5E3%2Fs%29%2832.2ft%2Fs%5E2%29%2880ft%29%5B%5Cfrac%7B1lbf%7D%7B32.2lbm%5Ccdot%20ft%2Fs%5E2%7D%5D%5B%5Cfrac%7B1hp%7D%7B550lbf%20%5Ccdot%20ft%2Fs%7D%5D)
......4
solve it we get
hp
so here
due to frictional effects, mechanical power lost in piping
we get here
put here value
= 16 -13.614
= 2.37 hp
so mechanical power used to overcome frictional effects in piping is 2.37 hp
Answer:
Explanation:
given data
types of drinking straws
- square cross-sectional shape
- round shape
solution
we know that both perimeter of the cross section are equal
so we can say that
perimeter of square = perimeter of circle
4 × S = π × D
here S is length and D is diameter
S = 
....................1
and
ratio of flow rate through the square and circle is here
