ENGINEERING UNDERGRADUATE
EGR 1400 Exam 1 2026/2027 With Completed Solutions
Complete Blueprint Coverage
A+
A+ 5 100%
QUESTIONS VERIFIED EXAM DOMAINS COVERED RATIONALES INCLUDED
CATEGORIES
Units, Dimensions, Significant Figures & Problem Solving
Vectors and Force Systems
Moments, Couples, and Resultants
Equilibrium of Particles and Rigid Bodies
Free-Body Diagrams and Engineering Analysis
STUVIAACTUALEXAM
, SECTION 1: UNITS, DIMENSIONS, SIGNIFICANT FIGURES & PROBLEM SOLVING
Q1.
A student measures a steel rod as 2.450 m long using a digital caliper accurate to 0.001 m. The student then
multiplies this length by a cross-sectional area of 1.2 × 10■■ m² (given to two significant figures) to find volume.
The properly reported volume, reflecting significant-figure rules, is:
A. 2.940 × 10■■ m³
B. 2.9 × 10■■ m³
C. 2.94 × 10■■ m³
D. 0.000294 m³
Correct Answer: B
Rationale:
When multiplying, the result is limited by the measurement with the fewest significant figures. Area has two significant figures, so the
volume must be reported with two significant figures: 2.9 × 10■■ m³. Option A retains four figures from the length; C retains three.
Q2.
An engineering calculation yields a force of 450.0 N. The student needs to convert this value to pounds-force (lbf).
Using the conversion 1 lbf = 4.448 N, the correctly converted value to four significant figures is:
A. 101.2 lbf
B. 2001 lbf
C. 101.17 lbf
D. 0.1012 lbf
Correct Answer: A
Rationale:
450.0 N ÷ 4.448 N/lbf = 101.17 lbf, which rounds to 101.2 lbf when limited to four significant figures matching the precision of the given
force. Option C overstates precision beyond the conversion factor commonly used; B is an arithmetic error.
Q3.
A team is designing a support bracket. The design load is specified as 15 kN. One member converts this to 15 000
N and another to 3 370 lbf. To verify dimensional homogeneity before proceeding, the team should confirm that:
A. Both values represent the same physical quantity by converting one into the other using a consistent conversion
factor
B. The values can be added directly without conversion
C. Only SI units are permitted in the final report
D. The conversion factor itself has zero uncertainty
Correct Answer: A
Rationale:
Dimensional homogeneity requires that quantities compared or combined share the same dimensions. Verifying that 15 kN equals
approximately 3 370 lbf confirms consistency. Adding unlike units or assuming zero uncertainty in conversion factors is incorrect
practice.
EGR 1400 EXAM 1 | 2026/2027 STUVIAACTUALEXAM
, Q4.
A student records the following intermediate results while solving a statics problem: 3.25, 0.0041, and 12.6. When
these three numbers are multiplied, the result that correctly observes significant-figure rules is:
A. 0.167775
B. 0.168
C. 0.17
D. 0.1678
Correct Answer: C
Rationale:
The product is limited by the least precise factor. 0.0041 has two significant figures, so the product must be expressed with two
significant figures: 0.17. Retaining additional digits violates the rule.
Q5.
An engineer is converting a pressure reading of 250 kPa into psi. Using 1 psi = 6.895 kPa, the value that should be
reported to three significant figures is:
A. 36.3 psi
B. 1724 psi
C. 36.25 psi
D. 1.725 × 10³ psi
Correct Answer: A
Rationale:
250 kPa ÷ 6.895 kPa/psi ≈ 36.258 psi, which rounds to 36.3 psi for three significant figures. Option B is the inverse calculation error; C
retains excess precision.
Q6.
A problem statement gives a length of 5.00 ft and a force of 20 N. Before writing the equilibrium equations the
student must first:
A. Convert both quantities into a consistent unit system (either SI or U.S. customary)
B. Ignore the units because they cancel algebraically
C. Convert only the force to pounds and leave the length in feet
D. Assume g = 9.81 m/s² regardless of unit system
Correct Answer: A
Rationale:
Mixing SI and U.S. customary units without conversion produces dimensionally inconsistent equations. All quantities in a given equation
must share a coherent unit system.
EGR 1400 EXAM 1 | 2026/2027 STUVIAACTUALEXAM
EGR 1400 Exam 1 2026/2027 With Completed Solutions
Complete Blueprint Coverage
A+
A+ 5 100%
QUESTIONS VERIFIED EXAM DOMAINS COVERED RATIONALES INCLUDED
CATEGORIES
Units, Dimensions, Significant Figures & Problem Solving
Vectors and Force Systems
Moments, Couples, and Resultants
Equilibrium of Particles and Rigid Bodies
Free-Body Diagrams and Engineering Analysis
STUVIAACTUALEXAM
, SECTION 1: UNITS, DIMENSIONS, SIGNIFICANT FIGURES & PROBLEM SOLVING
Q1.
A student measures a steel rod as 2.450 m long using a digital caliper accurate to 0.001 m. The student then
multiplies this length by a cross-sectional area of 1.2 × 10■■ m² (given to two significant figures) to find volume.
The properly reported volume, reflecting significant-figure rules, is:
A. 2.940 × 10■■ m³
B. 2.9 × 10■■ m³
C. 2.94 × 10■■ m³
D. 0.000294 m³
Correct Answer: B
Rationale:
When multiplying, the result is limited by the measurement with the fewest significant figures. Area has two significant figures, so the
volume must be reported with two significant figures: 2.9 × 10■■ m³. Option A retains four figures from the length; C retains three.
Q2.
An engineering calculation yields a force of 450.0 N. The student needs to convert this value to pounds-force (lbf).
Using the conversion 1 lbf = 4.448 N, the correctly converted value to four significant figures is:
A. 101.2 lbf
B. 2001 lbf
C. 101.17 lbf
D. 0.1012 lbf
Correct Answer: A
Rationale:
450.0 N ÷ 4.448 N/lbf = 101.17 lbf, which rounds to 101.2 lbf when limited to four significant figures matching the precision of the given
force. Option C overstates precision beyond the conversion factor commonly used; B is an arithmetic error.
Q3.
A team is designing a support bracket. The design load is specified as 15 kN. One member converts this to 15 000
N and another to 3 370 lbf. To verify dimensional homogeneity before proceeding, the team should confirm that:
A. Both values represent the same physical quantity by converting one into the other using a consistent conversion
factor
B. The values can be added directly without conversion
C. Only SI units are permitted in the final report
D. The conversion factor itself has zero uncertainty
Correct Answer: A
Rationale:
Dimensional homogeneity requires that quantities compared or combined share the same dimensions. Verifying that 15 kN equals
approximately 3 370 lbf confirms consistency. Adding unlike units or assuming zero uncertainty in conversion factors is incorrect
practice.
EGR 1400 EXAM 1 | 2026/2027 STUVIAACTUALEXAM
, Q4.
A student records the following intermediate results while solving a statics problem: 3.25, 0.0041, and 12.6. When
these three numbers are multiplied, the result that correctly observes significant-figure rules is:
A. 0.167775
B. 0.168
C. 0.17
D. 0.1678
Correct Answer: C
Rationale:
The product is limited by the least precise factor. 0.0041 has two significant figures, so the product must be expressed with two
significant figures: 0.17. Retaining additional digits violates the rule.
Q5.
An engineer is converting a pressure reading of 250 kPa into psi. Using 1 psi = 6.895 kPa, the value that should be
reported to three significant figures is:
A. 36.3 psi
B. 1724 psi
C. 36.25 psi
D. 1.725 × 10³ psi
Correct Answer: A
Rationale:
250 kPa ÷ 6.895 kPa/psi ≈ 36.258 psi, which rounds to 36.3 psi for three significant figures. Option B is the inverse calculation error; C
retains excess precision.
Q6.
A problem statement gives a length of 5.00 ft and a force of 20 N. Before writing the equilibrium equations the
student must first:
A. Convert both quantities into a consistent unit system (either SI or U.S. customary)
B. Ignore the units because they cancel algebraically
C. Convert only the force to pounds and leave the length in feet
D. Assume g = 9.81 m/s² regardless of unit system
Correct Answer: A
Rationale:
Mixing SI and U.S. customary units without conversion produces dimensionally inconsistent equations. All quantities in a given equation
must share a coherent unit system.
EGR 1400 EXAM 1 | 2026/2027 STUVIAACTUALEXAM
