The power P required for level flight by an airplane is a function of the speed u of flight. Consideration of drag on the plane yields the following model. Here a and b are constants that depend on the characteristics of the airplane. This model may also be applied to the flight of a bird such as the budgerigar (a type of parakeet), where we take a = 7800 and b = 600. Here the flight speed u is measured in kilometers per hour, and the power Pis the rate of oxygen consumption in cubic centimeters per gram per hour. (a) Make a graph of P as a function of u for the budgerigar. Include flight speeds between 25 and 45 kilometers per hour.

The power P required for level flight by an airplane is a function of the speed u of flight. Consideration of drag on the plane yields the following model. Here a and b are constants that depend on the characteristics of the airplane. This model may also be applied to the flight of a bird such as the budgerigar (a type of parakeet), where we take a = 7800 and b = 600. Here the flight speed u is measured in kilometers per hour, and the power Pis the rate of oxygen consumption in cubic centimeters per gram per hour. (a) Make a graph of P as a function of u for the budgerigar. Include flight speeds between 25 and 45 kilometers per hour.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: A Farmer measured the heights of his apple trees. He recorded the results below. Estimate the…

A: From histogram Lower limit first class = L = 60 Upper limit of first class = U = 65 X = (L + U)/2…

Q: Part (e) of Exercise 14 requires the use of a graphing calculator or computer. 14. An open-top box…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: The diagram shows the speed-time graph of an object. Speed m/s 18 6. Time/s 10 13 a) Find the…

Q: The given table lists the distances (in megaparsecs where 1 megaparsec 3.1×10¹⁹ km) and velocities…

Q: The surface area of algae on a pond is modelled as a circle of radius R. The value of R is modelled…

A: According to the question, the surface area of algae on the pond is modelled as a circle of radius…

Q: If A (0,4), B (0,-4) and C (x, y) are three points on the circle. The gradient AC = -1 and gradient…

Q: Use the model goven to answer the question about the object or process being modeled.

A: The distance d , travelling speed at v miles per hour for t hours isd=vt

Q: Kendrick pushes an object horizontally with an applied force along a flat, rough surface. A graph…

A: Observations from the graph: (1) Till the point 10, when the force is applied, the frictional force…

Q: The Venus Health Club for Women provides its members with the following table, which gives the…

A: Given: Height (x) 60 63 66 69 72 weight (y) 127 139 152 165 179

Q: Based on the view from above, write an equation describing Han's vertical position v, in feet,…

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

Q: The graph describes a bicycle racer's distance from a roadside television camera. a) When is the…

A: We conclude the answers by observing the given graph.

Q: CR 1. Gaston was asked to solve the following problem, critique his work: Question: A satellite is…

A: Linear velocity

Q: Let E = (2,7) and F = (10,1). On the line through E and F, there are two points that are 3 units…

Q: The designer of a ski resort wishes to have a portion of a beginner's slope on which the…

A: The designer of a ski resort wishes to have a portion of a beginner's slope on which the…

Q: The figure below shows a motorcycle leaving the end of a ramp with a speed of 33.5 m/s and following…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A Ferris wheel at a theme park rotates in an anticlockwise direction at a constant rate. People…

A: As per as our guidelines i am supposed to answer only 3 part please repost remaining parts Give…

Q: Find the gradient of the line joining the points: (0,0), (–2, –3) A E -3 3. B 3 F 2 C -1 H 112 113

Question

The power P required for level flight by an airplane is a function of the speed u of flight. Consideration of drag on the plane yields the following model.
u3
P =
a
Here a and b are constants that depend on the characteristics of the airplane. This model may also be applied to the flight of a bird such as the budgerigar (a type of parakeet), where we take a = 7800 and b = 600. Here the flight speed u is measured in kilometers per hour, and the
power P is the rate of oxygen consumption in cubic centimeters per gram per hour.t
(a) Make a graph of P as a function of u for the budgerigar. Include flight speeds between 25 and 45 kilometers per hour.
P
40
25
35
20
30
15
25
10
20아
5
u
50
u
25
30
35
40
45
5
10
15
20
25
30
P
P
25
40
20
35
15
30아
10
25
5
20
u
30
5
10
15
20
25
25
30
35
40
45
50
(b) Calculate P(35). (Round your answer to two decimal places.)
P(35) = |
Explain what your answer means in practical terms.
If a budgerigar flies at a speed of 35 kilometers per hour, then the power required for level flight is
cubic centimeters of oxygen per gram per hour.
(c) At what flight speed is the required power minimized? (Round your answer to two decimal places.)
km/hr

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Series$

Learn more about

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

Similar questions

Points A(3, 1), B(3, 5), C(11, 7), D(9, 1) and E(7, 3) represent snow shelters in the Blackburn National Forest. These snow shelters are illustrated in the following coordinate axes. Horizontal scale: 1 unit represents 1 km. Vertical scale: 1 unit represents 1 km. Calculate the gradient of the line segment AE.
1) Establish two linear functions shown below and find X and Y coordinate of the intercept P of two lines: Y 150 80 150 300
Analytical Solution to the Falling Parachutist Problem Problem Statement. A parachutist of mass 68.1 kg jumps out of a stationary hot air bal- loon. Use Eq. (1.10) to compute velocity prior to opening the chute. The drag coefficient is equal to 12.5 kg/s.
0 0.8 or 80% 0.125 or 12.5% 4. Which equations are linear functions? <. U C. 3 +15 1180 D. A. I only B. I and III I 11 III xy = 16 2x - y = 0 x² + y² = 20 C. Il only D. I and II f WI SI 2. The dimensions of a television screen ar inches by 63 inches. Which screen is sin Per:
Fish Weights). The data in Table 5 give the average weights of pike for certain lengths. (Use 4 decimal places in all answers.)Table 5: Pike Length (in.) Weight (oz.) 10 5 14 12 18 26 22 44 26 72 30 108 34 154 38 210 44 326 52 522 A. What cubic equation, W(x) best fits the data, where x is the length of a pike W(x) is the weight of the pike?
The vertical velocity of a cork bobbing up and down on the waves in the sea is given by the figure below. Upward is considered positive. velocity A B (a) At point B, which of the following describes the motion of the cork? O the cork is moving upward O the cork is moving downward O the cork is not moving 00 D (b) At point C, which of the following describes the motion of the cork? O the cork is moving upward O the cork is moving downward O the cork is not moving B time (c) At which point(s), if any, is the acceleration zero? (Select all that apply.) O A none of these
What is the y intercept and explain the meaning in the context of the problem?
Derive equations to describe displacement of a cam that has the following characteristics in the dimensional form: a. It declines with a parabolic motion from a dwell to another dwell b. Total lift of the cam is 1 inches. C. Section I of the cam is for 0<0
Use the model for projectile motion, assuming there is no air resistance and g = 9.8 meters per second per second. Determine the maximum height and range of a projectile fired at a height of 1.5 meters above the ground with an initial speed of 95 meters per second and at an angle of 30° above the horizontal. (Round your answers to two decimal places) height Xm range m
hey I need the answers to these questions please
Need asap pls. Thanks.
The volume V of an ice cream cone is given by V = where R is the common radius of the spherical cap and the cone, and h is the height of the cone. Use linearization to estimate the change in the volume when R changes from R = 1.5 inches to R = 1.7 inches, and h changes from h = 4 inches to h = 4.1 inches. Give your answer to two decimal places. R ----- h 6.20 |× in3