Fluid Dynamics: Solved Problems and Formulas

Fluid Dynamics 1
FLUID DYNAMICS
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Fluid Dynamics 2
Fluid Dynamics
Question 1
Shaft diameter = 400 mm
RPM = 2550
a. Angular Velocity
Each revolution generates an angle of 2 π radians
Therefore the angular velocity ¿ number of rovolutions per minute× 2 π radians
1 revolution
¿ 2550
1minute × 2 π radians
1 revolution
¿ 5100 π radians per minute
¿ 85 π rad /sec
¿ 267.035 rad / s
b. Linear speed of a point on the circumference of the shaft
The linear speed = radius × angular velocity
¿ 0.2 m× 267.035
¿ 53.407 m/s
c. Angular acceleration
angular acceleretaionα = ∆ ω
∆ t

Fluid Dynamics 3
RPM=4500,
Therefore angular velocity ¿ 4500
1minute × 2 π radians
1 revolution
¿ 9000 π radians
minute
¿ 150 πradians /sec
¿ 471.239 rad /s
Therefore α = ∆ ω
∆ t = 471.239−267.035
30
¿ 6.8068 rad / s2
d. Linear acceleration
at=r ∆ ω
∆ t
But α = ∆ ω
∆ t
Therefore at=r α
¿ 0.2 ×6.8068
¿ 1.36136 m/s2
Question 2
a. Diagram of the System