Solution :
Characteristic length = thickness / 2
= 0.02 m
Thermal conductivity for steel is 42.5 W/m.K
= 0.014
Since the Biot number is less than 0.01, the lumped system analysis is applicable.
Where,
T = temperature after t time
= surrounding temperature
= initial temperature
t = time
We calculate B:
= 0.000416
Thus,
t = 5281.78 second
= 88.02 minutes
Thus the time taken for reaching 100 degree Celsius is 88.02 minutes.
Answer:
The circuit impedance is 3.84 phase 38.65º and the voltage across the capacitor is 0.13 phase -128.65º V.
Explanation:
Since the voltage given to us was Vs = 5*cos(5t) V and it is the form of V = Vmax*cos(omega*t) V we can extract the frequency omega, wich is w = 5 rad/s.
In the circuit we have a capacitor and a inductor. The capacitor impedance is negative and it is inversely proportional to the frequency, while the inductor impedance is positive and directly proportional to the frequency. So we have:
Z = R + jw*L - j/(wC)
Z = 3 + j*5*0.5 - j/(5*2)
Z = 3 + j*2.5 - j*0.1 = 3 + j*2.4 Ohm = 3.84 phase 38.65º Ohm
To find out the voltage across the capacitor we can use a voltage divider equation that is:
Vcapacitor = [Zcapacitor/(R + Zinductor + Zcapacitor)] * Vsource
Vcapacitor = [(-j0.1)/(3 + j2.4)]*Vsource
Vcapacitor = [(0.1 phase -90º)/(3.84 phase 38.65º)]*5 phase 0º
Vcapacitor = [0.026 phase -128.65º]* 5 phase 0º
Vcapacitor = 0.13 phase -128.65º V
Answer:
0.5667 m^2
Explanation:
Given data :
Flow rate = 3000 liters/h
vacuum pressure = 70 kPa
cycle time for drum = 60 s
cake formation time ( filtering time ) = 20 s
Broth viscosity = 2.0 cP
Cake solids per volume = 10 g/liter
specific cake resistance = 9 * 10^10 cm/g
<u>Calculate the area of filter required </u>
Area of filter required = 0.5667 m^2
Attached below is the detailed solution
Answer:
It could affect how far the projectile travels
Explanation:
Facing Uphill: Moves less far
Downhill: Moves further
Answer:
A certain vehicle loses 3.5% of its value each year. If the vehicle has an initial value of $11,168, construct a model that represents the value of the vehicle after a certain number of years. Use your model to compute the value of the vehicle at the end of 6 years.
Explanation: