Free EIT Fundamentals of Engineering Questions and Answers â Questions and Answers
Question 1: Which of the following shows the correct hazard categorization for the safety diamond shown?
- Normal material will ignite if moderately heated, unstable if heated
- Slightly hazardous, will ignite at most ambient temperatures, violent chemical change
- Slightly hazardous, will ignite at most ambient temperatures, stable and not reactive with water (Correct answer)
- Extreme danger will ignite if preheated, stable, and not reactive with water
Correct answer: Slightly hazardous, will ignite at most ambient temperatures, stable and not reactive with water
Explanation: <br> "Slightly hazardous, will ignite at most ambient temperature, stable and not reactive with water." This categorization indicates that the material is slightly hazardous, ignites at most ambient temperatures, and is stable and not reactive with water.
Question 2: For the following frame shown, most nearly, what is the angle Ξ that would ensure that the frame is in equilibrium?
- 33.7° (Correct answer)
- 56.3°
- 0.0°
- 90.0°
Correct answer: 33.7°
Explanation: <br> This angle ensures equilibrium because it balances the forces acting on the frame.
Question 3: What is the sample standard deviation of the following range of test scores? <br><br> {30, 48, 75, 77, 32, 55, 64}
- 18.5
- 40.8
- 19.0 (Correct answer)
- 17.6
Correct answer: 19.0
Explanation: <br> The sample standard deviation measures how spread out the data points are from the mean. For this set of test scores, the sample standard deviation is approximately 19.0, indicating the average distance of each score from the mean score of 54.
Question 4: Suppose you invest $100 monthly in a retirement account earning a 0.5% annual interest rate (compounded annually). What will be the balance in the account after 20 years?
- $25,175 (Correct answer)
- $2,098
- $24,000
- $2,000
Correct answer: $25,175
Explanation: <br> Your monthly investment of $100, with a 0.5% annual interest rate compounded annually over 20 years, grows to approximately $25,175.
Question 5: Under what circumstances can a registered engineer sign and seal plans or documents he/she did not prepare?
- Under no circumstances.
- When the engineer and the person who prepared the plans mutually agree on the matter.
- If the plans or documents were prepared by someone who is competent in the project scope of work.
- If the plans or documents were prepared by someone under the registered engineerâs supervision and the registered engineer is an expert in the subject matter. (Correct answer)
Correct answer: If the plans or documents were prepared by someone under the registered engineerâs supervision and the registered engineer is an expert in the subject matter.
Explanation: <br> In this scenario, the registered engineer can sign and seal the plans or documents if they were prepared under their direct supervision and the engineer possesses expertise in the relevant subject matter. This ensures that the engineer takes responsibility for the work produced under their supervision and verifies its accuracy and compliance with professional standards.
Question 6: A vertical curve connects a 3% downslope with a 2.5% upslope. What is most nearly the minimum curve length required to meet AASHTOâs headlight sight distance requirements? The stopping sight distance is 750 ft.
- 93 ft
- 4,550 ft
- 1,023 ft (Correct answer)
- 950 ft
Correct answer: 1,023 ft
Explanation: <br> The curve length is calculated using a formula to meet the sight distance requirements. For these slopes, it's approximately 1,023 ft.
Question 7: What is the term for the ratio of stress to strain below the proportional limit?
- Modulus of rigidity
- Youngâs modulus (Correct answer)
- Poissonâs ratio
- Hookeâs constant
Correct answer: Youngâs modulus
Explanation: <br> "Youngâs modulus" represents the ratio of stress to strain in the elastic range of a material, specifically below the proportional limit.
Question 8: A projectile that is 10 meters above the ground is fired off at a velocity of 25 m/s measured 30 degrees from the horizontal. What will be the maximum height that the projectile achieves?
- 10.0 m
- 8.0 m
- 18.0 m (Correct answer)
- 13.7 m
Correct answer: 18.0 m
Explanation: <br> This can be calculated using the projectile motion equations, considering the initial velocity, angle of projection, and acceleration due to gravity.
Question 9: A rectangular beam has a cross-sectional area of 25 m2. If the beamâs maximum allowable compressive stress is 15 kPa, what is the maximum load that the beam can safely resist?
- 600 N
- 375 kN (Correct answer)
- 1670 N
- 15 kN
Correct answer: 375 kN
Explanation: <br> To find the maximum load a beam can safely resist, we use the formula: <br><br> Maximum Load = Maximum Allowable Stress Ă Cross-sectional Area <br> Substituting the given values: <br> Maximum Load = 15 kPa Ă 25 m^2 = 375 kN
Question 10: A combustion engine reacts methane with air to produce carbon dioxide, amongst other products. If 9kg of methane is burned and the conversion to carbon dioxide is 1:1, how many moles of carbon dioxide is produced?
- 692 moles
- 9 moles
- 30,461 moles
- 562 moles (Correct answer)
Correct answer: 562 moles
Explanation: <br> 562 moles of carbon dioxide are produced because 9 kg of methane, when burned, produces 562 moles of carbon dioxide, given the 1:1 stoichiometric ratio between methane and carbon dioxide.
Question 11: Find the subtraction of the vector -10 + 9j from the vector 9 + 19j.
- -19 + 28j
- -1 + 10j
- 19 + 10j (Correct answer)
- -1 â 10j
Correct answer: 19 + 10j
Explanation: <br> Consider the given vectors 9 + 19j, and -10 + 9j. <br><br> Find the subtraction as follows: <br> (9+19j)â(â10+9j)=9+19j+10â9j =19 + 10j <br><br> Thus, the result is 19+10j.
Which of the following shows the correct hazard categorization for the safety diamond shown?