A metal plate `0.4 m^(2)` inarea is lying on a liquid layer of thickness `10^(-3)` m and coefficient of viscosity 140 poise . Calculate the horizontal force needed to move the plate with a speed of ` 0.040 m^(2)`
Text Solution
AI Generated Solution
To solve the problem of calculating the horizontal force needed to move a metal plate lying on a liquid layer, we can follow these steps:
### Step-by-Step Solution:
1. **Identify Given Values**:
- Area of the plate, \( A = 0.4 \, m^2 \)
- Thickness of the liquid layer, \( \Delta x = 10^{-3} \, m \)
- Coefficient of viscosity, \( \eta = 140 \, \text{poise} \)
...
A metal plate of area 0.02m^(2) is lying on a liquid layer of thickness 10^(-3) m and coeffcient of viscosity 120 poise .Calcualate the horizontal force requirred to move the plate with a speed of 0.025ms^(-1)
A metallic plate having area 0.03 m ""^(2) is lying on a layer (10^(-2)" m thick") of liquid having coefficient of viscosity as 100 poise. What will be the horizontal force required to move the plate with a speed of 0.03 ms ""^(-1)?
A metal plate of area 10^(-3)m^(2) is placed on a liquid layer of thickness 0.8mm . The coefficient of viscosity of that liquid is 24 poise .Then the horizontal force required to move the plate with a velocity of 1cms^(-1) .
A circular metal plate of radius 4 cm rests on a layer of castor oil 2 mm thick, whose coefficient of viscosity is 16.5 Nsm^(-2). Calculate the horizontal force required to move the plate with a speed of 3 cm/s.
A metal plate of area 10^(-2)m^(2) is placed on a liquid layer of thickness 2xx10^(-3)m . If the liquid has coefficient of viscosity 2 S.I. units the force required to move the plate with a velocity of 3(cm)/(s) is
A circular metal plate of radius 5 cm, rests on a layer of castor oil 2mm thick, whose coeffeicient of viscosity os 15.5 dyn e cm^(-2)s . Calculate the horizontal force required to move the plate with a speed of 5 cms^(-1) . Also calculate strain rate and shearing stress.
A metel plate 100 sq cm in area rests on a 2-mm layer of castor oil, whose coefficient of viscosity is 1.55 SI units. Calculate the horizontal force required to move the plate with a speed of 3 cm per second. [Hint: F=-etaA(dv)/(dx)."Here"(dv)/(dx)=(3xx10^(-2)ms^(-1))/(2xx10^(-3))=15s^(-1) .]
A circular metal plate of radius 6 cm rests on a layer of caster oil 1.5 mm thick, whose coefficient of viscosity is 15.5 poise. Find the horizontal force (in kg wt) required to move the plate with a speed of 60 ms^(-1) .
A plate of metal 10 cm sq. rests on a layer of caster oil 2mm thick whose coefficient of viscosity is 15.5 dyn e cm^(-2)s . Calculate the horizontal force required to move the plate with a speed of 3 cm s^(-1) . Also calculate strain rate and shearing strees.
A plate of area 100 cm^(2) is placed on the upper surface of castor oil, 2mm thick. Taking the coefficient of viscosity to be 15.5 poise, calculate the horizontal force neccesary to move the plate with a velocity 3cm^(-1) .
FIITJEE-FLUID MECHANICS -ASSIGHNMENT COMPREHENSION NUMERICAL BASED QUESTIONS
