Fluid Mechanics I

Question 1

relationship between displacement (x) and velocity (v) and acceleration (a) in linear motion?

Answer 1

v is the derivative of x wrt to time and a is the derivative of v wrt to time

Question 2

relationship between angular displacement (theta) and angular velocity (w)

Answer 2

w is the derivative of theta with respect to time

Question 3

units of angular displacement

Answer 3

radians

Question 4

relationship between displacement (delta x) and angular displacement

Answer 4

angular displacement- theta

delta x is theta times by delta radius

Question 5

relationship between displacement (delta x) and velocity

Answer 5

velocity is the derivative of displacement (represented by rw)

Question 6

equation for acceleration in angular motion

Answer 6

velocity squared over radius

Question 7

equation for momentum

Answer 7

mass x velocity

Question 8

newtons first law- law of inertia

Answer 8

if sum of F=0, then a=0

object will stay at rest or constant velocity unless acted upon by unbalanced force

Question 9

newtons second law

Answer 9

sum of all forces on a body is proportional to acceleration. constant of proportionality is inertial mass

Question 10

how is work done and the equation and the units

Answer 10

work is done when a force moves its point in direction of the force
W= Fscos(x)
Units: Joules or Newton metres

Question 11

define power and units

Answer 11

amount of work done with respect to time (derivative of work done)
Units: Watts or Js-1

Question 12

define impulse

Answer 12

the change in momentum, it is also the integral of F(total) with respect to time

Question 13

equation for pressure and units

Answer 13

force/area

Question 14

define ‘shear stress’ (tao)

Answer 14

tangential force that acts parallel to the surface of a force

Question 15

static fluid pressure equation

Answer 15

densitygheight

Question 16

what is static fluid pressure independent of?

Answer 16

shape, surface area, total mass of liquid

Question 17

equation for volumetric flow rate and units

Answer 17

cross sectional x volume (Av)

Units: m^3s^-1

Question 18

mass flow rate equation and units

Answer 18

density* cross sectional area * volume (pAv)

Units: kgs^-1

Question 19

when is a fluid in-compressible? How does it affect the continuity equation

Answer 19

when its density remains constant

volumetric flow rate= Av