Homework 07   -            Rotation and Behavior of Fluids (Ch.8 & 9)     -      PHY 110

 

Due Date:                                                                                          Name__________________

 

        .                                                                                                 Score:  ______

    1-There is a rotating disk and the angular acceleration of this object is 0.1 rad/s²Â and initial angular velocity is 0.5

    rad/s. what is the rotational velocity of this disk after 2 seconds.

( ) 1.1 rad/s

( ) 1.5 rad/s                                                                                                                                                                                 

( ) 2  rad/s

( ) 0.7 rad/s

 

2-What is net torque of this system with respect to point A:

 

( ) 4 N.m C.W

( ) 2 N.m C.W

( ) 4 N.m C.C.W

( ) 7 N.m C.W

 

3-There is a net torque which is 5 N.m on centroid of a solid sphere. The radius of the sphere is 0.2m and its mass is 1.2 kg. What is the rotational acceleration?

 

( ) 155.41 rad/s²

( ) 120.21 rad/s²

( ) 200.83 rad/s²

( ) 260.42 rad/s²

 

 

4.The fact that an increase of pressure on an enclosed fluid is transmitted uniformly throughout the fluid is

        _____________________ Law.                           

 

5. A hydraulic jack is used to lift a load of weight 1000 N. The load-bearing cylinder has a radius of 4 cm, and the other piston has a radius of 1 cm. What force must be exerted on the smaller piston to support the load?

( )     62.5 N                                                                                        Show calculation:

( )     125 N

( )     250 N

( )     1000 N

( )     4000 N                                       

 

 

6. If the atmospheric pressure is 1.1x10⁵ Pa , the corresponding downward force on the top of

a horizontal square area 6 cm on each side is approximately

( )     40 N                                                                                           Show calculation:

( )     400 N

( )     4000 N

( )     10⁵ N                                          

 

 

7. A gas initially is at a pressure of 100 kPa. If its volume is halved while the absolute temperature is kept constant the new pressure will be ___________ kPa.            Explain your answer by using the appropriate law (formula):

 

 

 

 

 8. A gas originally occupies a volume of 0.5 m³Â at a pressure of 100 kPa. It is slowly allowed to expand until the volume is 2.5 m³. Assuming the temperature is kept constant, the final pressure will be:

( )     10 kPa                                                                                       Show calculation:

( )     20 kPa

( )     50 kPa

( )     100 kPa

( )     500 kPa                                     

 

9. It is observed that as bubbles rise in a deep column of water, the diameter of the bubbles increases. 

    This is best explained by

( )     Bernoulli’s Principle.                                                                   Show reasoning:

( )     Archimedes Principle.

( )     Boyle’s Law.

( )     Pascal’s Principle.                                  

 

 

 10.  Archimedes Principle states that

( )     the pressure in a fluid is directly related to the depth below the surface of the fluid.

( )     an object immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.

( )     the pressure of a fluid is inversely proportional to the temperature of the fluid.

( )     the velocity of a fluid is directly proportional to the pressure exerted on the fluid.

 

 

 11.  A hot air balloon derives its lift from the property of fluids as stated by

( )     Bernoulli’s Principle.                               Explain what happens with the hot air balloon:

( )     Archimedes’ Principle

( )     Boyle’s Law.

( )     Pascal’s Principle.

 

 

12. An aluminum block has a mass of 0.25 kg and a density of 2700 kg/m³. 

a) Calculate the volume of the aluminium block.

b) Determine the buoyant force exerted on this block when it is completely submerged in water of density 1000 kg/m³.

                                                                                                                       Show calculation:

Volume          V_o = _________ m³

 

Buoyant Force F_b = ________ N

        

 

 

 

13. Two cylindrical pipes both carry an ideal fluid (zero viscosity) in laminar flow. Pipe A has radius R_A = 2 cm and flow velocity v_A = 8 cm/s. Pipe B has radius R_B = 4 cm and flow velocity v_B = 4 cm/s. 

a) Calculate the cross section of pipe A and Pipe B

b) Calculate the rate of flow in liters/second 1l = 1000 cm³:                                      Show calculation:

pipe A: flow rate = _______l/s

 

pipe B  flow rate = _______l/s

 

 

 

 

14. One section of a pipe has a cross-sectional area of 20 cm²; in this section water has flow velocity of 1.0 m/s. 

     Another section of this pipe has a constricted cross-sectional area of 5 cm². 

     If the flow is steady, what is the water velocity in the constricted section?

( )     0.25 m/s                                                                                                             Show calculation:

( )     0.50 m/s

( )     1.0 m/s

( )     2.0 m/s

( )     4.0 m/s            

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