Suppose you have two options for walking to the top of a steep hillside with a height of 50 m. You can either climb a straight staircase that is 75 m long or follow a winding path that is 1050 m long.Calculate the ideal mechanical advantages of these two inclined planes.
Question
Suppose you have two options for walking to the top of a steep hillside with a height of 50 m. You can either climb a straight staircase that is 75 m long or follow a winding path that is 1050 m long.Calculate the ideal mechanical advantages of these two inclined planes.
Solution
The ideal mechanical advantage (IMA) of an inclined plane can be calculated using the formula:
IMA = Length of Incline / Height of Incline
For the straight staircase: IMA = 75 m / 50 m = 1.5
For the winding path: IMA = 1050 m / 50 m = 21
So, the ideal mechanical advantage of the straight staircase is 1.5, and the ideal mechanical advantage of the winding path is 21.
Similar Questions
Compare the ideal mechanical advantages you calculated in the question above for two inclined planes.
Determine whether the following statement is true or false. Stairs are a type of inclined plane that make it easier to move your body up and down compared to a ladder.TrueFalse
An inclined plane helps to move a load higher than it is, but it has to be moved over a shorter distance.Question 1Select one:TrueFalseQuestion 2Not yet answeredMarked out of 1.00Flag questionTipsQuestion textAn inclined plane makes it possible to lift heavy objects by using a bigger force.Question 2Select one:TrueFalseQuestion 3Not yet answeredMarked out of 1.00Flag questionTipsQuestion textExamples of inclined planes are loading ramps and wheelchair ramps.Question 3Select one:TrueFalseQuestion 4Not yet answeredMarked out of 1.00Flag questionTipsQuestion textAn inclined plane makes the work easier.Question 4Select one:TrueFalseQuestion 5Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhen the inclined plane is up higher it makes the work easier than when it is inclined lower.Question 5Select one:TrueFalseQuestion 6Not yet answeredMarked out of 1.00Flag questionTipsQuestion textA screw is nothing more than an inclined plane wrapped around a piece of metal.Question 6Select one:TrueFalseQuestion 7Not yet answeredMarked out of 1.00Flag questionTipsQuestion textA screw is nothing more than an inclined plane wrapped around a piece of metal.Question 7Select one:TrueFalseQuestion 8Not yet answeredMarked out of 1.00Flag questionTipsQuestion textSimple machines are all around us and designed to make our lives easier.Question 8Select one:TrueFalse
The inclined plane can be thought of as a speed multiplier machine.Question 7Answera.Trueb.False
What is a disadvantage of using an inclined plane to lift a heavy object? Select one:Many objects are difficult to lift straight up.highlight_offThe object must be moved a greater distance.highlight_offHeavy objects usually take up more space.highlight_offIt takes less effort to move the object.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.