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WorksheetsPulley System and Zipline Design Quiz
Total questions: 20
Worksheet time: 23mins
What is the primary function of a pulley?
To change the direction of force
To increase speed
To decrease speed
To change the color of the rope
Define the term mechanical advantage (MA) in the context of a pulley system.
The ratio of output force to input force
The ratio of input force to output force
The speed of the pulley
The weight of the pulley
How does a single fixed pulley change the direction of the applied force?
By rotating the pulley
By reversing the direction of the force
By increasing the force
By decreasing the force
In a movable pulley system, if a 100 N load is lifted, what is the minimum input force required assuming an ideal system?
50 N
100 N
150 N
200 N
What are the two fundamental types of pulley systems?
Fixed and Movable
Single and Double
Rotating and Stationary
Heavy and Light
A pulley system has three ropes supporting the load. What is the ideal mechanical advantage (IMA) of this system?
3
2
1
4
If the input force (effort) on a pulley system is 50 N and the output force (resistance/load) is 200 N, what is the actual mechanical advantage (AMA)?
4
3
2
1
Calculate the efficiency of the pulley system from Question 7, expressing your answer as a percentage.
100%
75%
50%
25%
If you pull 6 m of rope to lift a load 1 m, what is the velocity ratio (VR) or IMA of the system?
6
5
4
3
A worker uses a block and tackle system with an IMA of 4 to lift a 400 N crate. What is the effort required, assuming 100% efficiency?
100 N
200 N
300 N
400 N
Why is the actual mechanical advantage (AMA) of a real-world pulley system always less than its ideal mechanical advantage (IMA)?
Due to friction and other losses
Because of increased speed
Due to decreased speed
Because of the weight of the pulley
If a two-pulley system (IMA=2) has an efficiency of 75%, and you lift a 500 N load, calculate the energy wasted due to friction when the load is lifted 2 m.
250 J
200 J
150 J
100 J
Design a system using a minimum of one fixed and one movable pulley that provides an IMA of 3. Draw a simple diagram and justify the rope configuration.
A compound pulley system is created by combining two block and tackle systems: the first has an IMA of 2, and the second has an IMA of 3. What is the total IMA of the combined system?
6
5
4
3
Explain how the diameter of the pulley wheels affects the friction and overall efficiency of a pulley system.
A zipline must travel a horizontal distance of 300 feet. Assume the traveler and equipment have a combined mass (m) of 100 kg.
Slope Determination: If the zipline is required to have a 5% slope (vertical drop divided by horizontal run), calculate the total vertical drop (h) in meters. (Hint: 1 ft≈0.3048 m)
15.24 m
14.24 m
13.24 m
12.24 m
Tension and Sag: If the zipline cable has a maximum allowable tension (Tmax) of 15,000 N and must maintain a maximum sag of 2% of the horizontal span at the midpoint, calculate the minimum required breaking strength of the cable (in N) and state why a higher breaking strength is preferred.
Terminal Velocity Estimation: Neglecting air resistance and friction, estimate the traveler's maximum theoretical speed (vmax) at the bottom of the 300 ft run using the vertical drop calculated in Q16. (Hint: use conservation of energy: mgh=1/2mv^2)
Braking System Design (Pulley Selection): To safely slow the traveler, a braking system uses a block and tackle configuration at the end. If the goal is to stop the traveler using an applied effort of no more than 300 N and the required stopping force is estimated to be 3,600 N, what is the minimum ideal mechanical advantage (IMA) required for the braking pulley system?
12
11
10
9
