∙∙When its 75-kW(100-hp) engine is generating full power, a...

Name: Problem 74, Chapter 7: College Physics
Uploaded: 2019-06-07T10:03:25-08:00
Duration: 1 min 42 s
Channel: Abhishek Jana
Description: ∙∙When its 75-kW(100-hp) engine is generating full power, a small single-engine airplane with mass 700 kg gains altitude at a rate of 2.5 m / s(150 m / min, or 500 ft / min ). What frac- tion of the engine power is being used to make the airplane climb? (The remainder is used to overcome the effects of air resistance and of inefficiencies in the propeller and engine.)

$\bullet$ $\bullet$ When its $75-\mathrm{kW}(100-\mathrm{hp})$ engine is generating full power, a small single-engine airplane with mass 700 $\mathrm{kg}$ gains altitude at a rate of 2.5 $\mathrm{m} / \mathrm{s}(150 \mathrm{m} / \mathrm{min},$ or 500 $\mathrm{ft} / \mathrm{min}$ ). What frac- tion of the engine power is being used to make the airplane climb? (The remainder is used to overcome the effects of air resistance and of inefficiencies in the propeller and engine.)

$\bullet$ $\bullet$ When its $75-\mathrm{kW}(100-\mathrm{hp})$ engine is generating full power,
a small single-engine airplane with mass 700 $\mathrm{kg}$ gains altitude
at a rate of 2.5 $\mathrm{m} / \mathrm{s}(150 \mathrm{m} / \mathrm{min},$ or 500 $\mathrm{ft} / \mathrm{min}$ ). What frac-
tion of the engine power is being used to make the airplane
climb? (The remainder is used to overcome the effects of air
resistance and of inefficiencies in the propeller and engine.)

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Power

Power is the rate of doing work or transferring energy, typically measured in watts. In mechanical systems, it indicates how quickly energy is used to perform tasks, such as accelerating an object or lifting a load against gravity.

Gravitational Potential Energy

Gravitational potential energy is the energy an object possesses when it is positioned in a gravitational field, calculated as the product of its mass, gravitational acceleration, and height. When an airplane climbs, its potential energy increases, requiring work against gravitational force.

Rate of Climb

The rate of climb represents the vertical speed at which an aircraft gains altitude. This concept is crucial in linking the vertical movement to the work done against gravity, thereby connecting the climb performance to the energy expended per unit time.

Efficiency

Efficiency in this context refers to the fraction of total engine power that is effectively used to achieve a specific task, such as gaining altitude. It is determined by comparing the useful power (used for climbing via increasing potential energy) with the total power output of the engine.

Transcript

Please give Ace some feedback