Answer:
0.226m or 22.6cm
Explanation:
using the formula: (v = f * lambda), we can rearrange to form (lambda = v / f)
The calculation is 3x10^8/1.33x10^9 which equals 22.6cm to 3 sig fig.
This is assuming the wave mentioned in the question is an electromagnetic wave though, so that we can use a value for the wave's speed. If it was supposed to be another type of wave, the question is not possible without specifying the speed.
The radius of the specimen is 60 mm
<u>Explanation:</u>
Given-
Length, L = 60 mm
Elongated length, l = 10.8 mm
Load, F = 50,000 N
radius, r = ?
We are supposed to calculate the radius of a cylindrical brass specimen in order to produce an elongation of 10.8 mm when a load of 50,000 N is applied. It is necessary to compute the strain corresponding to this
elongation using Equation:
ε = Δl / l₀
ε = 10.8 / 60
ε = 0.18
We know,
σ = F / A
Where A = πr²
According to the stress-strain curve of brass alloy,
σ = 440 MPa
Thus,
Therefore, the radius of the specimen is 60 mm
Given Information:
Temperature = T₁ = 50 °C
Mass flow rate = m = 30 kg/s
Exit Pressure = P₂ = 1.5 MPa = 1500 kPa
Required Information:
Power = P = ?
Answer:
Power = 45.16 kW
Explanation:
The power of the pump can be found using,
P = m*W
Where m is the mass flow rate and W is the work done by pump.
Work done is given by
W = vf*(P₂ - P₁)
Where vf is the specific volume and its value is found from the saturated water temperature table.
at T = 50 °C
vf = 0.001012 m³/kg
P₁ = 12.352 kPa
P = m*W
P = m*vf*(P₂ - P₁)
P = 30*0.001012*(1500 - 12.352)
P = 45.16 kW