# FREE EIT Fundamentals of Engineering Questions and Answers

#### What is the sample standard deviation of the following range of test scores?

{30, 48, 75, 77, 32, 55, 64}

Explanation:

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.

#### A rectangular beam has a cross-sectional area of 25 m2. If the beam’s maximum allowable compressive stress is 15 kPa, what is the maximum load that the beam can safely resist?

Explanation:

To find the maximum load a beam can safely resist, we use the formula:

Maximum Load = Maximum Allowable Stress × Cross-sectional Area

Substituting the given values:

Maximum Load = 15 kPa × 25 m^2 = 375 kN

#### What is the term for the ratio of stress to strain below the proportional limit?

Explanation:

"Young’s modulus" represents the ratio of stress to strain in the elastic range of a material, specifically below the proportional limit.

#### For the following frame shown, most nearly, what is the angle θ that would ensure that the frame is in equilibrium?

Explanation:

This angle ensures equilibrium because it balances the forces acting on the frame.

#### Under what circumstances can a registered engineer sign and seal plans or documents he/she did not prepare?

Explanation:

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.

#### Which of the following shows the correct hazard categorization for the safety diamond shown?

Explanation:

"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.

#### 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?

Explanation:

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.

#### 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?

Explanation:

This can be calculated using the projectile motion equations, considering the initial velocity, angle of projection, and acceleration due to gravity.

#### A vertical curve connects a 3% downslope with a 2.5% upslope. What is most nearly the minimum curve length required to meet AASHTO’s headlight sight distance requirements? The stopping sight distance is 750 ft.

Explanation:

The curve length is calculated using a formula to meet the sight distance requirements. For these slopes, it's approximately 1,023 ft.

#### Find the subtraction of the vector -10 + 9j from the vector 9 + 19j.

Explanation:

Consider the given vectors 9 + 19j, and -10 + 9j.

Find the subtraction as follows:

(9+19j)−(−10+9j)=9+19j+10−9j =19 + 10j

Thus, the result is 19+10j.

#### 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?

Explanation:

Your monthly investment of $100, with a 0.5% annual interest rate compounded annually over 20 years, grows to approximately $25,175.