The 20-inch-diameter wheels of one car travel at a rate of 24 revolutions per minute,

1 answer:

8 0

One revolution of a wheel is equal to it's circumference:

C = πd

C: circumference
d: diameter

<u>20" wheel</u>
d = 20"
C = (20π) in/rev
v = (24 rev/min)(20π in/rev) = 480π in/min

<u>30" wheel</u>
d = 24"
C = (30π) in/rev
v = (18 rev/min)(30π in/rev) = 540π in/min

$Ratio = \frac{velocity of 30" wheel}{velocity of 20" wheel} = \frac{v_{2}}{v_{1}}$

$\frac{v_{2}}{v_{1}} = \frac{540\pi}{480\pi} = \frac{9}{8}$

You might be interested in

Fourth root of (28-16√13)

EastWind [94]

The answer is 29 i think

6 0

3 years ago

Dimensions of 12feet by 3feet what is the area of the kitchen counter that carlos will laminate

Feliz [49]

12 X 3 = 36ft of the area that Carlos will laminate

5 0

3 years ago

Read 2 more answers

A line passes through the points (15,−13) and (16,−11). Hollis writes the equation y+13=(x−15) to represent the line. Which answ

Andru [333]

The equation formula is y - y1 = m(x-x1)

Using the first point for x1, y1:

Y +13 = m(x-15)

M is the slope which is the change in y over the change in x:

M = -11–13 / 16-15 = 2/1 = 2

The equation becomes y +13 =2(x+15)

The answer is:

He incorrectly wrote the slope in his equation. He should have written y+13=2(x−15).

8 0

3 years ago

A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. Which expression represents the

Bezzdna [24]

Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.

The volume of a cone is:

$V = \dfrac{1}{3} \pi r^2 h$

Total volume:

$V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19$

Volume of upper cone:

$V_u = \dfrac{1}{3} \times \pi \times 3.5^2 \times 8$

Volume of frustum:

$V_f = \dfrac{1}{3}\pi(7.5^2)(19) - \dfrac{1}{3}\pi(3.5^2)(8)$

3 0

3 years ago

Read 2 more answers

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi

Whitepunk [10]

Answer:

$A=81\pi $ m^2$