Name: ______Period: ______Date: ______
Simple Machine Calculations
Show your work (all 3 steps)!!!!!!!!!!!
Calculate the force advantage of these inclined planes. Use the formula: FA = L/h or Flif/ Feff
1. Length = 45 m Height = 15 m
FA =
2. Length = 80 m Height = 20 m
FA =
3. Length = 30 m Height = 5 m
FA =
4. Length = 100 m Height = 20 m
FA =
5. Length = 25 m Height = 5 m
FA =
6. Length = 40 m Height = 2 m
FA =
7. If a force of 120 N is required to roll an anvil weighing 960 N up a ramp, what is the force advantage of the ramp?
Calculate the effort force of these inclined planes. Use the formula: Feff = Flif / FA
8. A 4000 N object lifted with an inclined plane whose FA=10.
9. A 15,000 N car with a ramp that has a FA of 25.
10. A 2000 N object lifted with an inclined plane whose FA = 5.
Calculate the force advantage of these inclined planes, then calculate the effort force required to move the object.
11. What is the effort force required when a ramp 20 m long is used to lift a 4000 N refrigerator into the back of a truck that is 1.0 m high.
12. At a football stadium, the wheelchair ramp is 30 m long and 3.0 m high. If a man and his wheelchair together weigh 1000 N how much effort force is required?
13. How much force is needed to push a small car that weighs 10,000 N up a ramp that gains 5 m of height in 100m of length?
14. A refrigerator weighing 5000 N is rolled up a ramp to a height of 5.0 m by a force of 100 N. How long is the ramp? (Hint: Calculate force advantage first from FA = Flif/ Feff, then use that answer to calculate the length of the plane using L = FA x h).
Calculate the work done with or without a lever for the following problems. W = F × D
15. Calculate the work done with the lever if the end of the lever moves 0.50 m and the effort force is 100 N.
16. Calculate the work done by the lever if the weight is lifted 0.20 m and the lifting force is 400 N.
17. A screwdriver is used to pry open a paint can. The handle of the screwdriver moves 0.30 m. An effort force of 100 N is required to move the handle.
18. A slave on an ancient Roman warship pulls his oar a distance of 1.5 m with an effort force of 450 N.
Find the following Leff using your work with the following formula: Leff = Flif / Feff x Llif
19. Feff = 100 N
Flif = 200 N
Llif = 5 m
20. Feff = 1000 N
Flif = 500 N
Llif = 20 cm
21. Feff = 450 N
Flif = 1500 N
Llif = 20 m
22. Feff = 72 N
Flif = 432 N
Llif = 6 m
23. Two students are on a see-saw. One weighs 200 N (Flif) and has a Llif of 10 cm from the fulcrum. How far should the 50 N (Feff) student sit to balance the see-saw?
Recall: Feff = Flif/FA. If the force advantage is not given in the problem, then first calculate it using the formula: FA = Leff/Llif
24. If the force advantage of a lever is 5, what effort force is required to lift 2000 N?
25. A 5.0 m long bar is used as a lever to raise a 4500 N box. The fulcrum is placed 0.5 m from the lifting end and 4.5 m from the effort end. What is the force advantage?
How much effort force must be applied?
26. A hammer is used to remove a nail. The effort length of the hammer is 45 cm long, and the lifting length is 9.0 cm long. What is the force advantage?
If a 6000 N force is required to pull the nail, how much effort force must be applied?
Calculate displacement advantage by using the formula: DA = Llif/Leff
27. A meter stick is suspended by a support at the 25 cm mark. If the 0.0 cm end is the effort end (Leff = 25 cm), and the 100 cm end is the lifting end (Llif = 75 cm), what is its displacement advantage?
28. Mr. McMurray is sweeping the sidewalk with a broom. His left hand is the fulcrum at the top of the broom, his right hand is 40 cm from the end (Leff = 40 cm) and moves the broom back and forth, and the broom is 160 cm long
(Llif = 160 cm). What is the broom’s displacement advantage?