Explain How to solve problems involving power (the rate of doing work)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Explain How to solve problems involving power (the rate of doing work)?

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Step 1

Power is the rate at which work is done. It is a measure of how quickly work is being done, and is given by the equation:

 

Power = Work / Time

 

where Power is measured in watts (W), Work is measured in joules (J), and Time is measured in seconds (s).

 

To solve problems involving power, you will need to know the amount of work being done and the time it takes to do that work. Once you have these values, you can use the formula above to calculate the power.

Step 2

Here is a step-by-step guide to solving problems involving power:

 

1.Identify the problem and what is being asked. You need to know what you are being asked to find and what information you are given.

 

2.Determine the amount of work being done. Work is a measure of the energy required to move an object a certain distance. You will need to know the force applied and the distance over which the force is applied. The formula for work is:

 

Work = Force x Distance

 

where Work is measured in joules (J), Force is measured in newtons (N), and Distance is measured in meters (m).

 

3.Determine the time it takes to do the work. You will need to know the time it takes to do the work. This could be given directly or can be calculated by dividing the distance traveled by the speed.

 

4.Calculate the power. Once you have determined the work and the time, you can use the formula for power:

 

Power = Work / Time

 

where Power is measured in watts (W), Work is measured in joules (J), and Time is measured in seconds (s).

 

5.Check your answer. Make sure your answer makes sense and is reasonable. Check your units to make sure they are consistent and that you have used the correct formula.

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