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krok68 [10]
1 year ago
5

9. A Ferris wheel makes 1 revolution per minute. The linear speed of the seats on the rim of the wheel is 2.14 mph. To the neare

st foot, find the radius of the Ferris wheel.
Mathematics
1 answer:
LUCKY_DIMON [66]1 year ago
4 0

Given:

A Ferris wheel makes 1 revolution per minute, n = 1 rpm

so, the angular speed :

\omega=\frac{2\pi\cdot n}{60}=\frac{2\pi\cdot1}{60}=\frac{\pi}{30}

The linear speed of the seats on the rim of the wheel is 2.14 mph

so,

\begin{gathered} v=\omega\cdot r \\  \end{gathered}

convert from mph to ft/sec

hour = 3600 sec

mile = 5280 ft

so,

2.14\frac{mile}{hour}=2.14\cdot\frac{5280}{3600}\frac{ft}{\sec}=\frac{1177}{375}\frac{ft}{\sec }

so,

\begin{gathered} \frac{1177}{375}=\frac{\pi}{30}\cdot r \\  \\ r=\frac{30\cdot1177}{375\pi}=29.97 \end{gathered}

So, the answer To the nearest foot is r = 30 ft

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This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
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Amount of grass in the backyard is 0.641 square yards    

               

<h3>What is a square?</h3>

Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.

<h3>How to find the area of a square?</h3>

Area of a square can be found by squaring the length of one of its sides.

<h3>What is a rectangle?</h3>

Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.

<h3>How to find out area of a rectangle?</h3>

Area of a rectangle can be found by multiplying its length by its breadth.

<h3>How to calculate the area in the given problem?</h3>

The given figure is a combination of multiple figures.

  • 1 square of length 3 cm on top
  • 1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm
  • 1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.
  • We will have to calculate these areas and sum up the areas to get the entire area.
  • Area of the square at the top = ( 3 x 3) cm² = 9 cm²
  • Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²
  • Area of the bottom rectangle = (10 x 3) cm² = 30 cm²

∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²

Amount of grass in the backyard = (54 x 0.109² ) square yards

                = 0.641 square yards               ( 1 cm = 0.109 yards)

Find out more information about area calculations here: brainly.com/question/1297098

#SPJ2

7 0
2 years ago
Read 2 more answers
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