QQuestionMathematics
QuestionMathematics
How do you find the Arc length between two cars or compartments on a Ferris wheel?
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Answer
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Step 1:: Understand the problem
s = r imes Δθ
To find the arc length between two cars or compartments on a Ferris wheel, we need to know the angular displacement (Δθ) between the two cars and the radius (r) of the Ferris wheel. The formula for arc length (s) is given by:
Step 2:: Gather necessary information
In this case, we are given the angular displacement (Δθ) and the radius (r) of the Ferris wheel.
Step 3:: Plug in the values into the formula
s = r imes (θ_2 - θ_1)
Assuming we have the following values: - Angular displacement (Δθ) = θ2 - θ1 - Radius (r) of the Ferris wheel We can now calculate the arc length (s) as follows:
Step 4:: Calculate the arc length
s = r imes Δθ
Calculate the angular displacement (Δθ) using the given values: Then, multiply the radius (r) by the angular displacement (Δθ) to find the arc length (s):
Final Answer
s = r imes (θ_2 - θ_1) The arc length between two cars or compartments on a Ferris wheel can be found using the formula: s = r imes (θ_2 - θ_1) Where: - s is the arc length - r is the radius of the Ferris wheel - θ1 is the initial angle of the first car - θ2 is the angle of the second car
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