Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 17, Problem 17.5PP
A pitcher throws a baseball without spin with a velocity of
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A non spinning ball having a mass of 3.5 oz is thrown vertically upward with a velocity of 100 mph and has zero velocity at a height of 210 ft above the release point. Assume that the air drag on the ball is constant and find this constant average" air drag. Neglect the
buoyant force of air on the ball.
For a new sailboat, a designer wants to determine the drag force that may be expected at a
given speed. To do so, she places a model of the proposed hull in a test channel and uses three
cables to keep its bow on the center-line of the channel. Dynamometer readings indicate that
for a given speed, the tension is 35 lb in cable AB and 40 lb in cable AE. The drag force is
exerted in the direction of Flow at point A.
–7 ft -
B
E1.5 ft
4 ft
Flow
A
4 ft
E
What is the magnitude of the drag force in Ib?
What is the magnitude of the tension force in cable AC in Ib?
What is the angle a in degrees measured CCW from the vertical?
What is the angle B in degrees measured CW from the vertical?
For a new sailboat, a designer wants to determine the drag force that may be expected at a given speed. To do so, she places a model of the proposed hull in a test channel and uses three cables to keep its bow on the centerline of the channel. Dynamometer readings indicate that for a given speed, the tension is 40 lb in cable AB and 60 lb in cable AE. Determine the drag force exerted on the hull and the tension in cable AC.
Chapter 17 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 17 - A cylinder 25 mm in diameter is placed...Ch. 17 - As part of an advertising sign on the top of a...Ch. 17 - Determine the terminal velocity (see Section 2.6.4...Ch. 17 - Calculate the moment at the base of a flagpole...Ch. 17 - A pitcher throws a baseball without spin with a...Ch. 17 - A parachute in the form of a hemispherical cup 1.5...Ch. 17 - Calculate the required diameter of a parachute in...Ch. 17 - A ship tows an instrument in the form of a 30...Ch. 17 - A highway sign is being designed to withstand...Ch. 17 - Assuming that a semitrailer behaves as a square...
Ch. 17 - A type of level indicator incorporates four...Ch. 17 - Prob. 17.12PPCh. 17 - A bulk liquid transport truck incorporates a...Ch. 17 - A wing on a race car is supported by two...Ch. 17 - Prob. 17.15PPCh. 17 - The four designs shown in Fig. 17.16 for the cross...Ch. 17 - Prob. 17.17PPCh. 17 - Prob. 17.18PPCh. 17 - An antenna in the shape of a cylindrical rod...Ch. 17 - Prob. 17.20PPCh. 17 - Prob. 17.21PPCh. 17 - Prob. 17.22PPCh. 17 - Assume that curve 2 in Fig. 17.5 is a true...Ch. 17 - Prob. 17.24PPCh. 17 - Prob. 17.25PPCh. 17 - A small, fast boat has a specific resistance ratio...Ch. 17 - Prob. 17.27PPCh. 17 - Assume that Fig. 17.11 shows the performance of...Ch. 17 - Calculate the total drag on an airfoil that has a...Ch. 17 - Prob. 17.30PPCh. 17 - Prob. 17.31PPCh. 17 - Prob. 17.32PPCh. 17 - Prob. 17.33PP
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- In a laboratory, the drag forces that are generated on vehicles that carry are being studied posters (thin flat plates) on the ceiling, for this we first want to determine the coefficient of drag that is generated on a cart without carrying the sign using a force meter (case 1). The Projected frontal area of the carriage is 2 m2 and the force indicated by the meter in case 1 is 300N when moving at 27 m/s. Considering air conditions of T = 20° C, ρ = 1.2 kg/m3, ? = 1.5 ∗10−5m2/s: a) Calculate the drag coefficient of the trolley in case 1 b) Calculate the drag coefficient that is generated on a sign 1 meter long and 0.2 meters of height (flat plate) placed transverse to the flow moving at the same speed of the carriage as illustrated in case 2. The transition Reynolds number is known to be 5 ∗ 10^5 c) Calculate the drag force that is generated only on the plate (consider both sides) d) Draw the free body diagram of the carriage for case 2 and calculate the total force on the cart when…arrow_forwardA spherical dust particle of density ρp and radius R falls at a constant velocity V in an atmosphere of density ρa under its own weight. Find V if ρp/ρa = 1000, R = 0.5 mm, and the drag coefficient CD = F/(0.5ρaV2πR2 ) = 1, where F is the drag force acting on the sphere. Ignore the buoyancy force.arrow_forwardAirplanes usually use their wings to turn: When the plane is tilted at an angle 0, the lift (L) from the wings provides a vertical component and a horizontal component. The direction of the lift is in the plane of symmetry of the plane (up from the wings). Suppose that the plane is tilted at an angle 0 = 29.0° and that it is making an exactly horizontal, circular path at a uniform speed of 455 kph. Take g = 9.80 m.s2 for three significant figures (the value at Sydney). What is the radius of its turn? km. Enter answer herearrow_forward
- A portion of ship’s hull can be idealized as a flat plate, 100ft long. If the ship’s velocity is 10 ft/s and the properties of the water it is moving through are ρ=62.4lbm/ft³ and µ=3.0lbm/hr.ft, calculate the maximum boundary layer thickness.arrow_forwardA highway curve with a radius of 120 m is banked so thatthere is no lateral pressure on the wheels of a car at aspeed of 48 kph. A car weighing 17.8 kN with 1.5-mdistance between its wheels and height h = 0.70 m travelsaround the curve at 96 kph. (a) What is the normal forceon the car’s outer wheels? (b) If friction is great enough toprevent skidding, at what speed would overturningimpend?arrow_forwardA 4000lb wrecking ball hangs from a 20ft cable of density 10lb/ft attached to a crane. Calculate the work done if the crane lifts the ball from the ground level to 20ft in the air by drawing in the cable.arrow_forward
- The drag equation for the Gofaster 172 is: D = 0.0003v2A. D is drag in pounds; v is airspeed in feet/second; and A is aircraft frontal area in square feet. At maximum airspeed, D = 140 lbs. How much does max airspeed INCREASE if the fuselage is narrowed such that frontal area A is reduced from 16 ft2 to 14 ft2? Give the answer in ft/sec AND mph. drag is 140 lbs. at maximum airspeed, regardless of frontal area. the question is: what is the INCREASE in max airspeed, not what is the max airspeed.arrow_forwardThe drag force acting on a 60 kg skydiver in the "spread" position shown can be approximated by Fo = 0.0436v², where Fo is in newtons and v is in m per second (from Scientific and Engineering Problem-Solving with the Computer, W.R. Bennett, Jr., Prentice Hall, New York, 1976). If the skydiver follows a vertical path, determine the terminal velocity.arrow_forward6 The fins on the radiator of your car are about 2 in long. When your car is going 60 mi/h, the free-stream velocity of the air approaching these fins (under the hood of the car and behind the grille) is estimated to be 40 mi/h. Estimate the boundary layer thickness at the downstream end of the fins.arrow_forward
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