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Sample Practice Test Questions
What is \( \sqrt{\frac{16}{4}} \)?
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{16}{4}} \)
\( \frac{\sqrt{16}}{\sqrt{4}} \)
\( \frac{\sqrt{4^2}}{\sqrt{2^2}} \)
\( \frac{4}{2} \)
2
The radius of the axle is 3, the radius of the wheel is 4, and the blue box weighs 35 lbs. What is the effort force necessary to balance the load?
The mechanical advantage of a wheel and axle is the input radius divided by the output radius:
MA = \( \frac{r_i}{r_o} \)
In this case, the input radius (where the effort force is being applied) is 4 and the output radius (where the resistance is being applied) is 3 for a mechanical advantage of \( \frac{4}{3} \) = 1.33
MA = \( \frac{load}{effort} \) so effort = \( \frac{load}{MA} \) = \( \frac{35 lbs.}{1.33} \) = 26.32 lbs.
If 15 lbs. of force is applied 8 ft. from the fulcrum at the blue arrow and the green box is 7 ft. from the fulcrum, how much would the green box have to weigh to balance the lever?
To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.Solving for Ra, our missing value, and plugging in our variables yields:
Ra = \( \frac{R_bd_b}{d_a} \) = \( \frac{15 lbs. \times 8 ft.}{7 ft.} \) = \( \frac{120 ft⋅lb}{7 ft.} \) = 17.14 lbs.
If a mayor is elected with 86% of the votes cast and 68% of a town's 29,000 voters cast a vote, how many votes did the mayor receive?
If 68% of the town's 29,000 voters cast ballots the number of votes cast is:
(\( \frac{68}{100} \)) x 29,000 = \( \frac{1,972,000}{100} \) = 19,720
The mayor got 86% of the votes cast which is:
(\( \frac{86}{100} \)) x 19,720 = \( \frac{1,695,920}{100} \) = 16,959 votes.
You are using a hacksaw to cut a Class 8 bolt. What is the most appropriate TPI for your saw blade?
18 TPI
A Class 8 bolt is made of very hard metal and larger TPI saw blades are most appropriate for very hard metals.
Which of these vitamins doesn't come from food?
D
Vitamins are necessary for a wide variety of bodily processes. Some vitamins like Vitamins A and C come from diet but others, like Vitamin D, are generated in response to sunlight.
Specific gravity is a comparison of the density of an object with the density of:
water
Specific gravity is the ratio of the density of equal volumes of a substance and water and is measured by a hyrdometer.
The primary difference between a claw and a ball-peen hammer is which of the following?
their non-striking end
The most common striking tool is the hammer and the most common variety of hammer is the claw hammer. The claw hammer has two ends, one to drive nails and one to remove nails. Ball-peen hammers replace the claw with a rounded end that's used to round off the edges of metal pins and make gaskets.