Calculating the Work Done by a Motor

Oct 13, 2025 by sorusgentrification.com 23 views

Introduction

In physics, power and work are two fundamental concepts that are often used to describe the energy transferred or converted from one form to another. Power is defined as the rate at which work is done or energy is transferred, and it is typically measured in watts (W). Work, on the other hand, is the product of force and displacement, and it is measured in joules (J). In this article, we will explore the relationship between power and work, and we will use a 4400 W motor to demonstrate how to calculate the work done by a motor.

The Formula for Power

The formula for power is given by:

$P = \frac{W}{t}$

where $P$ is the power, $W$ is the work done, and $t$ is the time over which the work is done. This formula shows that power is equal to the work done divided by the time taken to do the work.

Calculating the Work Done by a Motor

Now, let's use the formula for power to calculate the work done by a 4400 W motor. We are given that the motor is used for 200 seconds, and we want to find out how much work it can do.

First, we need to rearrange the formula for power to solve for work:

$W = P \times t$

Substituting the values given in the problem, we get:

$W = 4400 \, W \times 200 \, s$

$W = 880,000 \, J$

Therefore, the work done by the 4400 W motor is $880,000 \, J$ .

Conclusion

In conclusion, we have used the formula for power to calculate the work done by a 4400 W motor. We have shown that the work done is equal to the power multiplied by the time taken to do the work. This demonstrates the relationship between power and work, and it highlights the importance of understanding these fundamental concepts in physics.

Answer

The correct answer is D. $880,000 \, J$ .

Discussion

This problem is a classic example of how to use the formula for power to calculate the work done by a motor. It requires a basic understanding of the relationship between power and work, and it demonstrates the importance of using the correct formula to solve problems in physics.

Introduction

In our previous article, we explored the relationship between power and work, and we used a 4400 W motor to demonstrate how to calculate the work done by a motor. In this article, we will answer some frequently asked questions related to power and work.

Q: What is power in physics?

A: Power is the rate at which work is done or energy is transferred. It is typically measured in watts (W) and is defined by the formula:

$P = \frac{W}{t}$

where $P$ is the power, $W$ is the work done, and $t$ is the time over which the work is done.

Q: What is work in physics?

A: Work is the product of force and displacement. It is measured in joules (J) and is defined by the formula:

$W = F \times d$

where $W$ is the work done, $F$ is the force applied, and $d$ is the displacement.

Q: How is power related to work?

A: Power is equal to the work done divided by the time taken to do the work. This is expressed by the formula:

$P = \frac{W}{t}$

This means that power is a measure of the rate at which work is done, and it is typically measured in watts (W).

Q: Can you give an example of how to calculate the work done by a motor?

A: Let's use the 4400 W motor as an example. If the motor is used for 200 seconds, we can calculate the work done by using the formula:

$W = P \times t$

Substituting the values given in the problem, we get:

$W = 4400 \, W \times 200 \, s$

$W = 880,000 \, J$

Therefore, the work done by the 4400 W motor is $880,000 \, J$ .

Q: What is the unit of power?

A: The unit of power is the watt (W). It is defined as one joule per second.

Q: What is the unit of work?

A: The unit of work is the joule (J). It is defined as the product of force and displacement.

Q: Can you give some examples of how power is used in everyday life?

A: Power is used in many everyday applications, such as:

Lighting: Power is used to light homes, offices, and streets.
Heating and cooling: Power is used to heat and cool buildings.
Transportation: Power is used to propel vehicles, such as cars, buses, and trains.
Electronics: Power is used to power electronic devices, such as computers, smartphones, and televisions.

Conclusion

In conclusion, we have answered some frequently asked questions related to power and work. We have shown that power is the rate at which work is done or energy is transferred, and we have used the formula for power to calculate the work done by a motor. We hope that this article has been helpful in understanding the relationship between power and work.