Fundamentals of Thermal-Fluid Sciences
Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 1, Problem 24RQ
To determine

The weight of a 1 kg substance in N.

The weight of a 1 kg substance in kN.

The weight of a 1 kg substance in kgm/s2.

The weight of a 1 kg substance in kgf.

The weight of a 1 kg substance in lbmft/s2.

The weight of a 1 kg substance in lbf.

Expert Solution & Answer
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Explanation of Solution

Given:

The mass of the substance (m) is 1 kg.

The acceleration of gravity (g)  is

Calculation:

Write the expression of Newton’s second law for the weight of a substance.

  W=mg        (I)

For N,

Substitute 1kg for m and 9.81m/s2 for g in Equation (I).

  W=(1kg)(9.81m/s2)=9.81kgm/s2×(1N1kgm/s2)=9.81N.

Thus, The weight of a 1 kg substance in N is 9.81N_.

For kN,

Substitute 1kg for m and 9.81m/s2 for g in Equation (I).

  W=(1kg)(9.81m/s2)=9.81kgm/s2×(1kN1000kgm/s2)=0.00981kN.

Thus, The weight of a 1 kg substance in kN is 0.00981kN_.

For kgm/s2,

Substitute 1kg for m and 9.81m/s2 for g in Equation (I).

  W=(1kg)(9.81m/s2)=9.81kgm/s2.

Thus, The weight of a 1 kg substance in kgm/s2 is 1kgm/s2_.

For kgf,

Substitute 1kg for m and 9.81m/s2 for g in Equation (I).

  W=(1kg)(9.81m/s2)=9.81kgm/s2×(1N1kgm/s2)(1kgf9.81N)=1kgf.

Thus, The weight of a 1 kg substance in kgf is 1kgf_.

For lbmft/s2,

Substitute 1kg for m and 32.2ft/s2 for g in Equation (I).

  W=(1kg)(9.81m/s2)=(1kg)×(2.205lbm1kg)(32.2ft/s2)=71lbmft/s2.

Thus, The weight of a 1 kg substance in lbmft/s2 is 71lbmft/s2_.

For lbf,

Substitute 1kg for m and 32.2ft/s2 for g in Equation (I).

  W=(1kg)(9.81m/s2)=(1kg)×(2.205lbm1kg)(32.2ft/s2)(1lbf32.2lbmft/s2)=2.21lbf.

Thus, The weight of a 1 kg substance in lbf is 2.21lbf_.

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Fundamentals of Thermal-Fluid Sciences

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