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baherus [9]
3 years ago
7

The cars (seats) of a Ferris wheel are positioned 74 feet from its center. If the Ferris wheel makes 4 revolutions every 4 minut

es, find the linear speed of one of the cars in feet per second. Round your answer to the nearest hundredth
Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

The linear speed of one of the cars is 7.75 feet per second

The cars (seats) of a Ferris wheel are positioned 74 feet from its center.

The radius, r = 74 feet

The Ferris wheel makes 4 revolutions every 4 minutes

Number of revolutions per minute = 1

Angular speed, w = 1 rev/min

Angular speed, w = 0.10472 rad/sec

The relationship between the linear speed (v), and the angular speed (w) is:

v  =  wr

Substitute w = 0.10472  and r = 74 feet into the formula:

v  =  0.10472  x  74

v  =  7.75 feet per second

The linear speed of one of the cars is 7.75 feet per second

Learn more on linear speed here: brainly.com/question/4357151

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3 years ago
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<span><span>2<span>(<span><span>3x</span>−4</span>)</span></span>=<span><span>3x</span>+1

</span></span>Step 1: Simplify both sides of the equation.

<span><span>2<span>(<span><span>3x</span>−4</span>)</span></span>=<span><span>3x</span>+1</span></span><span>Simplify: (Show steps)</span><span><span><span>6x</span>−8</span>=<span><span>3x</span>+1

</span></span>Step 2: Subtract 3x from both sides.

<span><span><span><span>6x</span>−8</span>−<span>3x</span></span>=<span><span><span>3x</span>+1</span>−<span>3x</span></span></span><span><span><span>3x</span>−8</span>=1

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hope this helps!</span></span>
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3 years ago
Read 2 more answers
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