How fast does a driven gear turn if it has 25 teeth (t) and is driven by a10-tooth driver gear (T) at 250 RPM?

Mathematics

1 answer:

vazorg [7]1 year ago

3 0

Given:

The number of teeth = t = 25

The gear is driven by a 10-tooth driver gear (T) at 250 RPM

Let the speed = s

So, using the ratio and proportion

$\frac{25}{s}=\frac{10}{250}$

Solve for s:

$\begin{gathered} 10s=25\cdot250 \\ \\ s=\frac{25\cdot250}{10}=25\cdot25=625 \end{gathered}$

So, the fear will be driven by 625 RP

You might be interested in

Exhibit 12-4 In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Li

snow_lady [41]

Answer:

b. multinomial population

Step-by-step explanation:

The data is categorical and non-overlapping. That is, there are multiple options(either the student is in the Liberal Arts College, Business College or Education College), and he cannot be in more than one option.

So this is an example of a multinomial population.

The correct answer is:

b. multinomial population

7 0

3 years ago

If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in mile

Lubov Fominskaja [6]

$\bf \textit{arc's length}\\\\
s=rw\qquad 
\begin{cases}
r=radius\\
w=\textit{angular speed}
\end{cases}\qquad w=\cfrac{50 rev}{min}\cdot \cfrac{2\pi }{rev}
\\\\\\
w=\cfrac{100\pi }{min}\qquad s=80in\cdot \cfrac{100\pi }{min}\implies s=\cfrac{8000\pi\ in}{min}\\\\
-------------------------------\\\\
\textit{now to convert it to miles/hr}
\\\\\\
\cfrac{8000\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mile}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{8000\pi \cdot 60\ in}{12\cdot 5280\ hr}$