In a conceptual design, the power to move a bus comes from the energy stored in an onboard rotating flywheel. The flywheel has a mass of 1500 kg, a radius of gyration of 500 mm, and is brought to a maximum speed of 4000 rpm. If the bus starts from rest and acquires a speed of 72 kph at the top of a hill 20 m above the starting position, find the reduced speed of the flywheel. Assume 10% of the energy of the flywheel is lost due to frictional effects. Neglect the energy of the bus contained in the rotation of the wheels. The bus with flywheel is 10,000 kg.
In a conceptual design, the power to move a bus comes from the energy stored in an onboard rotating flywheel. The flywheel has a mass of 1500 kg, a radius of gyration of 500 mm, and is brought to a maximum speed of 4000 rpm. If the bus starts from rest and acquires a speed of 72 kph at the top of a hill 20 m above the starting position, find the reduced speed of the flywheel. Assume 10% of the energy of the flywheel is lost due to frictional effects. Neglect the energy of the bus contained in the rotation of the wheels. The bus with flywheel is 10,000 kg.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Title**: Conceptual Design of a Bus Powered by an Onboard Flywheel
**Introduction**:
In this conceptual design, the power needed to move a bus is derived from the energy stored in an onboard rotating flywheel.
**Flywheel Specifications**:
- **Mass**: 1500 kg
- **Radius of gyration**: 500 mm
- **Maximum speed**: 4000 rpm
**Scenario**:
If the bus starts from rest, it reaches a speed of 72 kph at the top of a hill 20 meters above its starting point. In this scenario, you need to calculate the reduced speed of the flywheel.
**Assumptions**:
- 10% of the flywheel’s energy is lost due to frictional effects.
- Neglect the rotational energy of the bus wheels.
- The total mass of the bus with the flywheel is 10,000 kg.
**Illustration**:
Next to the text is an illustrative diagram of a bus with an internal component representing the location of the flywheel system.
This setup is part of a theoretical framework to understand energy transfer and conservation in automotive systems using non-conventional energy storage methods like flywheels.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbba194c6-539e-4b57-8637-e24c59390e39%2Fc3f12a83-570f-4907-8e06-af8f52d3771c%2F9342qcj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title**: Conceptual Design of a Bus Powered by an Onboard Flywheel
**Introduction**:
In this conceptual design, the power needed to move a bus is derived from the energy stored in an onboard rotating flywheel.
**Flywheel Specifications**:
- **Mass**: 1500 kg
- **Radius of gyration**: 500 mm
- **Maximum speed**: 4000 rpm
**Scenario**:
If the bus starts from rest, it reaches a speed of 72 kph at the top of a hill 20 meters above its starting point. In this scenario, you need to calculate the reduced speed of the flywheel.
**Assumptions**:
- 10% of the flywheel’s energy is lost due to frictional effects.
- Neglect the rotational energy of the bus wheels.
- The total mass of the bus with the flywheel is 10,000 kg.
**Illustration**:
Next to the text is an illustrative diagram of a bus with an internal component representing the location of the flywheel system.
This setup is part of a theoretical framework to understand energy transfer and conservation in automotive systems using non-conventional energy storage methods like flywheels.
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