Problem 1 The force arm of a lever is 8 m long and the length of the load arm is 2 m. Calculate the force F needed to lift a 500 N load and find out the mechanical advantage of the lever.

Answers

Answer 1

Answer:

The force needed to lift a 500 newton-load is 125 newtons.

The mechanical advantage of the lever is 4.

Explanation:

Needed force is equal to the weight of the load. The Law of Lever, which is a particular case of the definition of Torque, states that force is inversely proportional to distance from fulcrum, that is:

[tex]F_{F} \cdot r_{F} = F_{L}\cdot r_{L}[/tex] (1)

Where:

[tex]F_{F}[/tex] - Needed force, in newtons.

[tex]r_{F}[/tex] - Force arm, in meters.

[tex]F_{L}[/tex] - Load force, in newtons.

[tex]r_{L}[/tex] - Load arm. in meters.

The mechanical advantage of the lever ([tex]n[/tex]), no unit, is determined by following formula:

[tex]n = \frac{F_{F}}{F_{L}}[/tex] (2)

If we know that [tex]F_{F} = 500\,N[/tex], [tex]r_{F} = 2\,m[/tex] and [tex]r_{L} = 8\,m[/tex], then the load force needed to lift is:

[tex]F_{L} = F_{F} \cdot \left(\frac{r_{F}}{r_{L}} \right)[/tex]

[tex]F_{L} = 125\,N[/tex]

The force needed to lift a 500 newton-load is 125 newtons.

And the mechanical advantage of the lever is:

[tex]n = 4[/tex]

The mechanical advantage of the lever is 4.


Related Questions

In addition to being good problem solvers, which of the following do engineers need to be?
O wealthy
O rigid
O respected
O practical

Answers

The answer is Practical.

Question 1: What is the power observed in the energy analyzer when the rated voltage(U1) is applied to the primary of the transformer, and there is no load at the secondary?
Question 2: Find the transformation ratio of the transformer using the values U1,U2 recorded in the experiment.
Question 3: Sketch the no-load operation graph of the transformer using the values U1, I2 and the values read in the energy analyzer.
Question 4: How can we find the number of turns of transformer?
Question 5: Explain the operation principle of the transformer.
Question 6: State your final observations about the experiment.

Answers

Answer:

preguntas a parte o no???????

Other Questions
Which of these is a carbohydrate?1. C6 H12 O62. C6 H6 O123. C6 H13 O2 N4. C3 H7 O2 Ns I would really appreciate some help!The graph shows the distance, y, that a car traveled in x hours:Select one:a. fraction 1 over 50b. fraction 1 over 25c. 25d. 50 What process moves the water from the roots to the leaves How do you finish this math equation? 37+gg ? Why does a DNA fingerprint require millions of copies of each DNA fragment Write a story on the expression "all that glitters is not gold" 250 words to 450 words Analyzing models compare an atoms structure to a ladder. Identify one way in which ladder is not a good model from the atom. On January 1, Year 1, Samuel Company leases equipment from Lease Corp. The lease agreement specifies five annual payments of $50,000, with the first payment due at lease signing (January 1, Year 1), and at each January 1 from Year 2 to Year 5. At the end of the lease term, the equipment will be returned to the lessor and is expected to have a residual value of $30,000. The estimated useful life of the equipment is six years. The interest rate in the financing arrangement is 6%. The cost to Lease Corp of manufacturing the equipment is $150,000. The journal entry for the Lessor on January 1, Year 1 will include __________- The President of the United States PLEASE HELP!What is the difference between the proletariat and the bourgeoise? calculate the tax amount they pay in a form of tax (tax =R14 850) Please helpThe period of an oscillation is measured to be 0.0833 seconds. What isthe frequency of this oscillation? *1.0833 Hz0.287 Hz9.8 Hz12 Hz0.007 Hz The _____ motive encourages entrepreneurs to start businesses, expand existing one, create new products or improve existing ones, and/or improve production processes to use resources efficiently.1.)profit2.)price3.)none of the above The annual Horseracing Derby is coming up. Most people expect Solos Shadow to come in first place. What are they making? Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15pounds cost? * Bob needs to tile hiskitchen floor. Eachtile is 12 inches by12 inches. His kitchenis 11 feet by 13feet. How many tileswill he need? Which tissue system in plants is most similar to the Integumentary system in animals? explain your reasoning (DON'T USE G.O.O.G.L.E) Which of the following statements about savings accounts is FALSE? Savings accounts may Have you ever witnessed something amazing, shocking or surprising and found when describing the event that your story seems to change the more you tell it? Have you ever experienced a time when you couldn't really describe something you saw in a way that others could understand? If so, you may understand why some experts think eyewitness testimony is unreliable as evidence in scientific inquiries and trials. New insights into human memory suggest human memories are really a mixture of many non-factual things.First, memory is vague. Imagine your room at home or a classroom you see every day. Most likely, you could describe the room very generally. You could name the color of the walls, the floors, the decorations. But the image you describe will never be as specific or detailed as if you were looking at the actual room. Memory tends to save a blurry image of what we have seen rather than specific details. So when a witness tries to identify someone, her brain may recall that the person was tall, but not be able to say how tall when faced with several tall people. There are lots of different kinds of "tall."Second, memory uses general knowledge to fill in gaps. Our brains reconstruct events and scenes when we remember something. To do this, our brains use other memories and other stories when there are gaps. For example, one day at a library you go to quite frequently, you witness an argument between a library patron and one of the librarians. Later, when telling a friend about the event, your brain may remember a familiar librarian behind the desk rather than the actual participant simply because it is recreating a familiar scene. In effect, your brain is combining memories to help you tell the story.Third, your memory changes over time. It also changes the more you retell the story. Documented cases have shown eyewitnesses adding detail to testimony that could not have been known at the time of the event. Research has also shown that the more a witness's account is told, the less accurate it is. You may have noticed this yourself. The next time you are retelling a story, notice what you add, or what your brain wants to add, to the account. You may also notice that you drop certain details from previous tellings of the story.With individual memories all jumbled up with each other, it is hard to believe we ever know anything to be true. Did you really break your mother's favorite vase when you were three? Was that really your father throwing rocks into the river with you when you were seven? The human brain may be quite remarkable indeed. When it comes to memory, however, we may want to start carrying video cameras if we want to record the true picture.Which words from the text describe what our brains use to fill in gaps in memory? (5 points)Blurry imageGeneral knowledgeIndividual memoriesTrue picture On a standardized exam, the scores are normally distributed with a mean of 135 and astandard deviation of 20. Find the Z-score of a person who scored 115 on the exam.