The flywheel on an engine makes 150 revolution in 2seconds. How many r...
Flywheel Revolution Calculation
When solving this problem, we need to find the number of revolutions the flywheel makes in 8 seconds, given that it makes 150 revolutions in 2 seconds. To do this, we can use the concept of proportionality.
Step 1: Establish the Proportion
Let's set up a proportion to find the number of revolutions the flywheel makes in 8 seconds:
150 revolutions / 2 seconds = x revolutions / 8 seconds
Step 2: Simplify the Proportion
Now, we can cross multiply and solve for x:
150 * 8 = 2 * x
1200 = 2x
Step 3: Solve for x
To find the value of x, we divide both sides of the equation by 2:
x = 1200 / 2
x = 600
Step 4: Interpret the Result
The flywheel makes 600 revolutions in 8 seconds.
Explanation
The proportion method is used to solve this problem. Proportions are equations that state that two ratios are equal. In this case, we set up a proportion using the given information, where the ratio of revolutions to time for the first situation is equal to the ratio of revolutions to time for the second situation. By cross-multiplying and solving for x, we find that the flywheel makes 600 revolutions in 8 seconds.
It is important to understand the concept of proportions as it allows us to find unknown values by relating them to known values. This concept is widely used in various mathematical and real-life situations, such as scaling, ratios, and rates.