The dominant form of drag experienced by vehicles bikes, cars, planes, etc.) at operating speeds is alled form drag. It increases quadratically with elocity (essentially because the amount of air you un into increases with v and so does the amount of orce you must exert on each small volume of air). hus Farag = Ca Av² where A is the cross-sectional area of the vehicle and Ca is called the coefficient of drag. Part A Consider a vehicle moving with constant velocity . Find the power dissipated by form drag. Express your answer in terms of Cd, A, and speed v. ►View Available Hint(s) P = Submit Part B 195] ΑΣΦ ? A certain car has an engine that provides a maximum power Po. Suppose that the maximum spee drag force proportional to the square of the speed (as in the previous part). The car engine is now power P₁ is 10 percent greater than the original power (P₁ = 110%P). Assume the following: • The top speed is limited by air drag. • The magnitude of the force of air drag at these speeds is proportional to the square of the sp By what percentage, (v₁-vo)/vo, is the top speed of the car increased? Express the percent increase in top speed numerically to two significant figures. View Available Hint(s)
The dominant form of drag experienced by vehicles bikes, cars, planes, etc.) at operating speeds is alled form drag. It increases quadratically with elocity (essentially because the amount of air you un into increases with v and so does the amount of orce you must exert on each small volume of air). hus Farag = Ca Av² where A is the cross-sectional area of the vehicle and Ca is called the coefficient of drag. Part A Consider a vehicle moving with constant velocity . Find the power dissipated by form drag. Express your answer in terms of Cd, A, and speed v. ►View Available Hint(s) P = Submit Part B 195] ΑΣΦ ? A certain car has an engine that provides a maximum power Po. Suppose that the maximum spee drag force proportional to the square of the speed (as in the previous part). The car engine is now power P₁ is 10 percent greater than the original power (P₁ = 110%P). Assume the following: • The top speed is limited by air drag. • The magnitude of the force of air drag at these speeds is proportional to the square of the sp By what percentage, (v₁-vo)/vo, is the top speed of the car increased? Express the percent increase in top speed numerically to two significant figures. View Available Hint(s)
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
![**Part A**
Consider a vehicle moving with constant velocity \( \vec{v} \). Find the power dissipated by form drag.
**Express your answer in terms of \( C_d \), \( A \), and speed \( v \).**
Power equation:
\[ P = \]
**Part B**
A certain car has an engine that provides a maximum power \( P_0 \). Suppose that the maximum speed is limited by air drag proportional to the square of the speed (as in the previous part). The car engine is now modified to a power \( P_1 \) 10 percent greater than the original power (\( P_1 = 110\% P_0 \)).
**Assume the following:**
- The top speed is limited by air drag.
- The magnitude of the force of air drag at these speeds is proportional to the square of the speed.
By what percentage, \( (v_1 - v_0) / v_0 \), is the top speed of the car increased?
**Express the percent increase in top speed numerically to two significant figures.**
[Submit button for answers]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc42f8bf5-c4ea-440d-bf0d-c8a9270c2068%2F5ed1bfdf-b394-42bf-8411-6952cb98ab15%2Fnrqlltj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Part A**
Consider a vehicle moving with constant velocity \( \vec{v} \). Find the power dissipated by form drag.
**Express your answer in terms of \( C_d \), \( A \), and speed \( v \).**
Power equation:
\[ P = \]
**Part B**
A certain car has an engine that provides a maximum power \( P_0 \). Suppose that the maximum speed is limited by air drag proportional to the square of the speed (as in the previous part). The car engine is now modified to a power \( P_1 \) 10 percent greater than the original power (\( P_1 = 110\% P_0 \)).
**Assume the following:**
- The top speed is limited by air drag.
- The magnitude of the force of air drag at these speeds is proportional to the square of the speed.
By what percentage, \( (v_1 - v_0) / v_0 \), is the top speed of the car increased?
**Express the percent increase in top speed numerically to two significant figures.**
[Submit button for answers]
Transcribed Image Text:### Part B
A certain car has an engine that provides a maximum power \( P_0 \). Suppose that the maximum speed of the car, \( v_0 \), is limited by a drag force proportional to the square of the speed (as in the previous part). The car engine is now modified, so that the new power \( P_1 \) is 10 percent greater than the original power \((P_1 = 110\% P_0)\).
Assume the following:
- The top speed is limited by air drag.
- The magnitude of the force of air drag at these speeds is proportional to the square of the speed.
By what percentage, \((v_1 - v_0)/v_0\), is the top speed of the car increased?
Express the percent increase in top speed numerically to two significant figures.
---
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