Homework Help is Here – Start Your Trial Now!
Science
Physics
10/19 In the previous problem, what would the power requirement of the engine become if the parameters were a) The speed was to remain constant (zero acceleration), 86,3 kW Homework Problem the same, except: b) The angle of incline was 5°, 92.3 KW. C) The speed was 13 m/s, and ss,31 d) The car had a

10/19 In the previous problem, what would the power requirement of the engine become if the parameters were a) The speed was to remain constant (zero acceleration), 86,3 kW Homework Problem the same, except: b) The angle of incline was 5°, 92.3 KW. C) The speed was 13 m/s, and ss,31 d) The car had a

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question

Please use the information from the first picture and the minor changes on the second (blank) page to solve A, B, C, and D

**Homework Problem** In the previous problem, what would the power requirement of the engine become if the parameters were the same, except: a) The speed b) The speed was to remain constant (zero acceleration), \(86.3 \, \text{kW}\) c) The angle of incline was \(5^\circ\), and \(99.3 \, \text{kW}\) d) The speed was \(13 \, \text{m/s}\), and \(55.3 \, \text{kW}\) e) The car had a mass of \(900 \, \text{kg}\)? \(85.3 \, \text{kW}\) (Note: Each option lists a power requirement in kilowatts based on adjusted conditions.)
Transcribed Image Text:**Homework Problem** In the previous problem, what would the power requirement of the engine become if the parameters were the same, except: a) The speed b) The speed was to remain constant (zero acceleration), \(86.3 \, \text{kW}\) c) The angle of incline was \(5^\circ\), and \(99.3 \, \text{kW}\) d) The speed was \(13 \, \text{m/s}\), and \(55.3 \, \text{kW}\) e) The car had a mass of \(900 \, \text{kg}\)? \(85.3 \, \text{kW}\) (Note: Each option lists a power requirement in kilowatts based on adjusted conditions.)
**Title: Calculating Power for a Car on an Incline** **Date:** 10/19/23 **Problem Statement:** A car of mass \( m \) moves up an incline of angle \( \theta \). The total resistive force as a function of its speed, \( v \), is given by: \[ F_r = (218 + 0.70v^2) \, \text{N} \] **Tasks:** **a) Determine the power the engine must deliver to the wheels as a function of speed and desired acceleration, \( a \).** *Equation:* \[ P = F \cdot v = \frac{du}{dt} \] - Power required for acceleration \( ma \) - Resolving forces: \( F_x = F_{\text{app}} - mg\sin\theta - F_r = ma \) **b) Assume the car has a mass of 1450 kg and the incline has a grade of 10°. Calculate the required engine power if the car is moving at a speed of 27 m/s with an acceleration of 1.0 m/s².** **Solution Steps:** 1. **Diagram Analysis:** - **Diagram 1:** Illustrates forces acting on the car: gravitational force \( mg\sin\theta \), the applied force \( F_{\text{app}} \), resisting force \( F_r \), and frictional resistance. - Formulas: - \( F_{\text{app}} = ma + mg\sin\theta + F_r \) - Components along the incline: - \( ma = m\sin\theta \, (g \, \text{for acceleration}) \) - \( 218v \) - \( 0.70v^3 \) 2. **Power Calculations:** - \( \text{Power}_\text{required} \) - \( Mva = 39 \, \text{kW} = 52 \, \text{hp} \) - \( Mvg\sin\theta = 67 \, \text{kW} = 89 \, \text{hp} \) (to counteract gravitational force) - \( 218v = 5 \, \text{kW} = 7.9 \, \text{hp} \) (for rolling friction)
Transcribed Image Text:**Title: Calculating Power for a Car on an Incline** **Date:** 10/19/23 **Problem Statement:** A car of mass \( m \) moves up an incline of angle \( \theta \). The total resistive force as a function of its speed, \( v \), is given by: \[ F_r = (218 + 0.70v^2) \, \text{N} \] **Tasks:** **a) Determine the power the engine must deliver to the wheels as a function of speed and desired acceleration, \( a \).** *Equation:* \[ P = F \cdot v = \frac{du}{dt} \] - Power required for acceleration \( ma \) - Resolving forces: \( F_x = F_{\text{app}} - mg\sin\theta - F_r = ma \) **b) Assume the car has a mass of 1450 kg and the incline has a grade of 10°. Calculate the required engine power if the car is moving at a speed of 27 m/s with an acceleration of 1.0 m/s².** **Solution Steps:** 1. **Diagram Analysis:** - **Diagram 1:** Illustrates forces acting on the car: gravitational force \( mg\sin\theta \), the applied force \( F_{\text{app}} \), resisting force \( F_r \), and frictional resistance. - Formulas: - \( F_{\text{app}} = ma + mg\sin\theta + F_r \) - Components along the incline: - \( ma = m\sin\theta \, (g \, \text{for acceleration}) \) - \( 218v \) - \( 0.70v^3 \) 2. **Power Calculations:** - \( \text{Power}_\text{required} \) - \( Mva = 39 \, \text{kW} = 52 \, \text{hp} \) - \( Mvg\sin\theta = 67 \, \text{kW} = 89 \, \text{hp} \) (to counteract gravitational force) - \( 218v = 5 \, \text{kW} = 7.9 \, \text{hp} \) (for rolling friction)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps with 10 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Weakly interacting gases
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS