Data

Type of plate: ____Flat Plate ______________________________________________________

Temperature, T = ____20______℃

Density of water, ρ= _____998_______ kg/m3

Diameter of nozzle, d = _0.010_ m

Area of nozzle, A = _________ m2

Mass of jockey, m = 0.60 kg

Weight of jockey, W = m ∙ g = __5.886_ N Recall, a Newton = (1 kg ∙m)/s^2

Distance from center of vane to pivot of lever, y2 = 0.15 m

Distance from the center of jock weight, y1 (input in table below for each trial).

Height of vane tip above nozzle (fixed), h = 0.035 m (35 mm)

Angle of direction of fluid change (see Figure 3.1), β=_90__°

Mass of water, m

(kg) Time, t

(s) Distance y1

(m) Mass flow rate, m ̇ = m/t

(kg/s) Velocity, v= m ̇/ρA (m/s) Deflected Velocity,

v_o= √(v^2-2gh)

(m/s) Momentum,

m ̇v_o

4.99 18.43 0.023

4.99 12.44 0.051

4.99 10.35 0.073

Average

Theoretical Force, FT

F=m ̇v_o (1-cos β) Measured Force, FM

(Solve by ΣM about the pivot of lever)

Data

Type of plate: _____________Hemispherical Cup_____________________________________________

Temperature, T = ___20_______℃

Density of water, ρ= _______998_____ kg/m3

Diameter of nozzle, d = _0.010_ m

Area of nozzle, A = __________ m2

Mass of jockey, m = 0.60 kg

Weight of jockey, W = m ∙ g = _5.886_ N Recall, a Newton = (1 kg ∙m)/s^2

Distance from center of vane to pivot of lever, y2 = 0.15 m

Distance from the center of jock weight, y1 (input in table below for each trial).

Height of vane tip above nozzle (fixed), h = 0.035 m

Angle of direction of fluid change (see Figure 3.1), β=______180______°

Mass of water, m

(kg) Time, t

(s) Distance y1

(m) Mass flow rate, m ̇ = m/t

(kg/s) Velocity, v= m ̇/ρA (m/s) Deflected Velocity,

v_o= √(v^2-2gh)

(m/s) Momentum,

m ̇v_o

4.99 11.00 0.131

4.99 11.19 0.133

4.99 9.75 0.165

Average

Theoretical Force, FT

F=m ̇v_o (1-cos β) Measured Force, FM

(Solve by ΣM about the pivot of lever)

For the Results Section of the Report:

Create a plot of Theoretical Force vs. Momentum (the grid above is for a sketch). Draw a best fit line through the points. You can plot all plate types on one graph.

For the Conclusion of Report:

What is the relationship between Force and Momentum?

Explain the term (1- cosβ). What does it tell you about the magnitude of force being deflected?

What is the percent error of the measured force to the theoretical force? Be sure to explain sources of error is necessary.