Answer:
a) 1725.93 rpm
b) α = 3.012 rad/s²
Explanation:
The centrifugal acceleration is given by
a = v²/r
a = 1000 g = 1000 × 9.8 = 9800 m/s²
v = velocity = ?
r = radius of motion = 300 mm = 0.3 m
9800 = v²/0.3
v² = 2940
v = 54.22 m/s
v = rw
w = angular speed
54.22 = 0.3 × w
w = 54.22/0.3 = 180.74 rad/s
w = 2πf
f = frequency in rev/s
180.74 = 2πf
f = 28.77 rev/s
f = 1725.93 rpm
b) Using the equations of motion,
Since the centrifuge starts from rest,
w₀ = 0 rad/s
w = 180.74 rad/s (equivalent to the f = 1725.93 rpm)
t = 1 min = 60 s
α = ?
w = w₀ + αt
180.74 = 0 + 60α
α = 3.012 rad/s²
Answer:
VBA CODE:
Sub wxEx2()
'''''' Question b''''''''
' Making the sheet active
wsEx2.Activate
'''''' Question c''''''''
' Setting range
Dim r1, Scores As Range
Set r1 = Sheets("Problem 2").Range("A2:A10")
'''''' Question d''''''''
' Set range Scores
Set Scores = Sheets("Problem 3").Range("B6:B14")
'''''' Question e''''''''
' Weighted average
Dim val As Double
Sheets("Problem 2").Range("A12").Value = Application.WorksheetFunction.SumProduct(r1, Scores) / Application.WorksheetFunction.Sum(Scores)
'''''' Question f''''''''
' Chane background color
Sheets("Problem 2").Range("A12").Interior.ColorIndex = 4
'''''' Question g''''''''
' Make italic bold
Sheets("Problem 2").Range("A12").Font.Bold = True
Sheets("Problem 2").Range("A12").Font.Italic = True
End Sub
Answer:
The kinetic energy will be 687.186 BTU
Explanation:
We have given mass of car = 2500 lbm
We know that 1 lbm = 0.4535 kg
So 2500 lbm =
Speed = 80 mph
We know that 1 mile = 1609.34 meter
1 hour = 3600 sec
So
We know that kinetic energy
We know that 1 KJ = 0.9478 BTU
So 725.033 KJ = 725.033×0.9478 = 687.186 BTU