FCTC Mechanical Reasoning Principles Questions and Answers 2

Question 1

If a first-class lever has the fulcrum positioned closer to the load than to the effort, what is the mechanical advantage?

Accepted Answer

Less than 1 — effort needed is greater than the load

Answer

When the fulcrum is closer to the load, the effort arm is shorter than the load arm, so mechanical advantage is less than 1 and more force is required than the load.

Question 2

Two gears are meshed together. Gear A has 40 teeth and Gear B has 10 teeth. If Gear A rotates at 100 RPM, at what speed does Gear B rotate?

Accepted Answer

400 RPM

Answer

Speed ratio is inversely proportional to gear teeth: Gear B speed equals 100 times (40 divided by 10) equals 400 RPM.

Question 3

A block-and-tackle pulley system has 4 rope segments supporting the load. What is the mechanical advantage?

Accepted Answer

4

Answer

In a block-and-tackle system, mechanical advantage equals the number of rope segments supporting the movable block.

Question 4

Which screwdriver would provide the MOST torque when removing a rusted bolt?

Accepted Answer

A long-handled screwdriver

Answer

Torque equals force times distance from the pivot. A longer handle provides a greater lever arm, generating more torque with the same applied hand force.

Question 5

Water flows through a pipe that narrows from a 4-inch diameter to a 2-inch diameter. What happens to the water velocity?

Accepted Answer

It quadruples

Answer

By the continuity equation, flow rate is constant. When diameter halves, radius halves, and cross-sectional area decreases by a factor of 4, so velocity must quadruple.

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FCTC Mechanical Reasoning Principles Questions and Answers 2