Explanation Given information: The angle between the two straight section of the rotating arm as θ = 120 ° . The rate of discharge ( Q ) of water through the sprinkler is 20 L/min . The velocity ( v ) of the rotating arm is 18 m/s . The magnitude of the friction couple ( M F ) is 0.375 N ⋅ m . Calculation: Calculate the mass flow rate ( Δ m Δ t ) of the water using the relation: d m d t = ρ Q (1) Here, ρ is the density of the water. Consider the density of the water is 1 , 000 kg/m 3 . Substitute 1 , 000 kg/m 3 for ρ and 20 L/min for Q in Equation (1). Δ m Δ t = 1 , 000 kg/m 3 × ( 20 L/min × 1 m 3 1 , 000 L × 1 min 60 s ) = 1 , 000 kg/m 3 × ( 20 L/min × 1 m 3 1 , 000 L × 1 min 60 s ) = 0.33333 kg/s Show the geometry of the arm of the sprinkler as shown in Figure 1. Refer Figure 1. The centre of the four rotating arm of the sprinkler is denoted by O . Refer the triangle Δ A B O . Apply the cosine law follows: ( O A ) 2 = ( O B ) 2 + ( B A ) 2 − 2 ( O B ) ( B A ) cos θ = 150 2 + 100 2 − 2 × 150 × 100 cos ( 120 ° ) = 150 2 + 100 2 − 2 × 150 × 100 × ( − 0.5 ) = 32 , 500 + 15 , 000 O A = 47 , 500 = 217.95 mm Apply the sine rule as follows: sin β A B = sin θ O A sin β 100 = sin ( 120 ) 217.95 sin β = ( 0.866 217.95 ) × 100 β = sin − 1 ( 0.39733 ) β = sin − 1 ( 0.39733 ) ≈ 23.411 ° Calculate the value of the angle β as follows: α = 180 ° − 120 ° − β = 60 ° − 23

12th Edition

ISBN: 9781260804638

Author: BEER

Publisher: MCG

See similar textbooks

Concept explainers

Fire safety

Fire safety is a new domain emerged in the early 90s to enable the design of buildings, structures, and infrastructure against destruction through fire. It also includes the provisions of building codes. This field is mostly associated with the design an…

Videos

Question

Chapter 14, Problem 14.115RP

To determine

Find the rate of rotation of the garden sprinkler.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14, Problem 14.114RP

Chapter 14, Problem 14.116RP

Students have asked these similar questions

First monthly exam Gas dynamics Third stage Q1/Water at 15° C flow through a 300 mm diameter riveted steel pipe, E-3 mm with a head loss of 6 m in 300 m length. Determine the flow rate in pipe. Use moody chart. Q2/ Assume a car's exhaust system can be approximated as 14 ft long and 0.125 ft-diameter cast-iron pipe ( = 0.00085 ft) with the equivalent of (6) regular 90° flanged elbows (KL = 0.3) and a muffler. The muffler acts as a resistor with a loss coefficient of KL= 8.5. Determine the pressure at the beginning of the exhaust system (pl) if the flowrate is 0.10 cfs, and the exhaust has the same properties as air.(p = 1.74 × 10-3 slug/ft³, u= 4.7 x 10-7 lb.s/ft²) Use moody chart (1) MIDAS Kel=0.3 Q3/Liquid ammonia at -20°C is flowing through a 30 m long section of a 5 mm diameter copper tube(e = 1.5 × 10-6 m) at a rate of 0.15 kg/s. Determine the pressure drop and the head losses. .μ= 2.36 × 10-4 kg/m.s)p = 665.1 kg/m³

2/Y Y+1 2Cp Q1/ Show that Cda Az x P1 mactual Cdf Af R/T₁ 2pf(P1-P2-zxgxpf) Q2/ A simple jet carburetor has to supply 5 Kg of air per minute. The air is at a pressure of 1.013 bar and a temperature of 27 °C. Calculate the throat diameter of the choke for air flow velocity of 90 m/sec. Take velocity coefficient to be 0.8. Assume isentropic flow and the flow to be compressible. Quiz/ Determine the air-fuel ratio supplied at 5000 m altitude by a carburetor which is adjusted to give an air-fuel ratio of 14:1 at sea level where air temperature is 27 °C and pressure is 1.013 bar. The temperature of air decreases with altitude as given by the expression The air pressure decreases with altitude as per relation h = 19200 log10 (1.013), where P is in bar. State any assumptions made. t = ts P 0.0065h

36 2) Use the method of MEMBERS to determine the true magnitude and direction of the forces in members1 and 2 of the frame shown below in Fig 3.2. 300lbs/ft member-1 member-2 30° Fig 3.2. https://brightspace.cuny.edu/d21/le/content/433117/viewContent/29873977/View

Chapter 14 Solutions

VECTOR MECHANICS FOR ENGINEERS W/CON >B

Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - An airline employee tosses two suitcases in rapid...Ch. 14.1 - Car A weighing 4000 lb and car B weighing 3700 lb...Ch. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9, assuming...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Find the rate of rotation of the garden sprinkler.

Solution Summary: The author calculates the rate of rotation of the garden sprinkler using the relation: rho and 20

Concept explainers

Videos

Find the rate of rotation of the garden sprinkler.

Want to see the full answer?

Chapter 14 Solutions