Under what circumstances is it acceptable to omit the units during a physics calculation and advantage of using SI units in all calculations?

Question

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Answer 1

Question

Chapter 2, Problem 1QAP

To determine

Under what circumstances is it acceptable to omit the units during a physics calculation and advantage of using SI units in all calculations?

Expert Solution & Answer

Answer to Problem 1QAP

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Explanation of Solution

Introduction:

Units are used to express the numerical value of a dimension. Any physical quantity has a dimension. Common physical quantities that we use are mass, length and time. Mass, length and time are considered as fundamental dimensions as they cannot be expressed in terms of other fundamental quantities. Dimension of many quantities are made of fundamental dimensions. For example, speed has the dimension of distance per unit time. In any equation the dimensions must be the same on both sides.

Since the dimensions of the both sides of the equation should be the same, it's a good idea to include the units of every measurement in each and every step. Thereby we can check whether the equation and the calculation are correct. And when all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And it also minimizes the errors in the calculation and eventually final answer will also be in SI units.

Conclusion:

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

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Students have asked these similar questions

In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably more comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical intuition. More precisely, show that (a) 1.0 m/s = 3.6 km/h and (b) 1.0 m/s = 2.2 mi/h.

Answer 2

Question

Chapter 2, Problem 1QAP

To determine

Under what circumstances is it acceptable to omit the units during a physics calculation and advantage of using SI units in all calculations?

Expert Solution & Answer

Answer to Problem 1QAP

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Explanation of Solution

Introduction:

Units are used to express the numerical value of a dimension. Any physical quantity has a dimension. Common physical quantities that we use are mass, length and time. Mass, length and time are considered as fundamental dimensions as they cannot be expressed in terms of other fundamental quantities. Dimension of many quantities are made of fundamental dimensions. For example, speed has the dimension of distance per unit time. In any equation the dimensions must be the same on both sides.

Since the dimensions of the both sides of the equation should be the same, it's a good idea to include the units of every measurement in each and every step. Thereby we can check whether the equation and the calculation are correct. And when all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And it also minimizes the errors in the calculation and eventually final answer will also be in SI units.

Conclusion:

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 2, Problem 1QAP

To determine

Under what circumstances is it acceptable to omit the units during a physics calculation and advantage of using SI units in all calculations?

Expert Solution & Answer

Answer to Problem 1QAP

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Explanation of Solution

Introduction:

Units are used to express the numerical value of a dimension. Any physical quantity has a dimension. Common physical quantities that we use are mass, length and time. Mass, length and time are considered as fundamental dimensions as they cannot be expressed in terms of other fundamental quantities. Dimension of many quantities are made of fundamental dimensions. For example, speed has the dimension of distance per unit time. In any equation the dimensions must be the same on both sides.

Since the dimensions of the both sides of the equation should be the same, it's a good idea to include the units of every measurement in each and every step. Thereby we can check whether the equation and the calculation are correct. And when all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And it also minimizes the errors in the calculation and eventually final answer will also be in SI units.

Conclusion:

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 2, Problem 1QAP

To determine

Under what circumstances is it acceptable to omit the units during a physics calculation and advantage of using SI units in all calculations?

Expert Solution & Answer

Answer to Problem 1QAP

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Explanation of Solution

Introduction:

Units are used to express the numerical value of a dimension. Any physical quantity has a dimension. Common physical quantities that we use are mass, length and time. Mass, length and time are considered as fundamental dimensions as they cannot be expressed in terms of other fundamental quantities. Dimension of many quantities are made of fundamental dimensions. For example, speed has the dimension of distance per unit time. In any equation the dimensions must be the same on both sides.

Since the dimensions of the both sides of the equation should be the same, it's a good idea to include the units of every measurement in each and every step. Thereby we can check whether the equation and the calculation are correct. And when all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And it also minimizes the errors in the calculation and eventually final answer will also be in SI units.

Conclusion:

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 2, Problem 1QAP

To determine

Under what circumstances is it acceptable to omit the units during a physics calculation and advantage of using SI units in all calculations?

Expert Solution & Answer

Answer to Problem 1QAP

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Explanation of Solution

Introduction:

Units are used to express the numerical value of a dimension. Any physical quantity has a dimension. Common physical quantities that we use are mass, length and time. Mass, length and time are considered as fundamental dimensions as they cannot be expressed in terms of other fundamental quantities. Dimension of many quantities are made of fundamental dimensions. For example, speed has the dimension of distance per unit time. In any equation the dimensions must be the same on both sides.

Since the dimensions of the both sides of the equation should be the same, it's a good idea to include the units of every measurement in each and every step. Thereby we can check whether the equation and the calculation are correct. And when all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And it also minimizes the errors in the calculation and eventually final answer will also be in SI units.

Conclusion:

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Answer 6

Chapter 2, Problem 1QAP

To determine

Under what circumstances is it acceptable to omit the units during a physics calculation and advantage of using SI units in all calculations?

Expert Solution & Answer

Answer to Problem 1QAP

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Explanation of Solution

Introduction:

Units are used to express the numerical value of a dimension. Any physical quantity has a dimension. Common physical quantities that we use are mass, length and time. Mass, length and time are considered as fundamental dimensions as they cannot be expressed in terms of other fundamental quantities. Dimension of many quantities are made of fundamental dimensions. For example, speed has the dimension of distance per unit time. In any equation the dimensions must be the same on both sides.

Since the dimensions of the both sides of the equation should be the same, it's a good idea to include the units of every measurement in each and every step. Thereby we can check whether the equation and the calculation are correct. And when all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And it also minimizes the errors in the calculation and eventually final answer will also be in SI units.

Conclusion:

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Answer 7

Chapter 2, Problem 1QAP

To determine

Under what circumstances is it acceptable to omit the units during a physics calculation and advantage of using SI units in all calculations?

Answer 8

Expert Solution & Answer

Answer to Problem 1QAP

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Introduction:

Units are used to express the numerical value of a dimension. Any physical quantity has a dimension. Common physical quantities that we use are mass, length and time. Mass, length and time are considered as fundamental dimensions as they cannot be expressed in terms of other fundamental quantities. Dimension of many quantities are made of fundamental dimensions. For example, speed has the dimension of distance per unit time. In any equation the dimensions must be the same on both sides.

Since the dimensions of the both sides of the equation should be the same, it's a good idea to include the units of every measurement in each and every step. Thereby we can check whether the equation and the calculation are correct. And when all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And it also minimizes the errors in the calculation and eventually final answer will also be in SI units.

Conclusion:

When all the values are converted into SI units, it is acceptable to omit the units during physics calculations. And advantage of using SI units in calculation is it minimizes the errors in the calculation and eventually final answer will also be in SI units.